PR.6B, SEC 3, invrs prpn wrte eqn (50)

Question 1 of 50

1. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 7$ , $y = 5$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 2 of 50

2. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 25$ , $y = 8$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 3 of 50

3. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 14$ , $y = 10$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 4 of 50

4. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 35$ , $y = 8$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 5 of 50

5. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 3$ , $y = 8$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 6 of 50

6. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 27$ , $y = 3$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 7 of 50

7. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 12$ , $y = 12$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 8 of 50

8. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 5$ , $y = 6$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 9 of 50

9. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 28$ , $y = 9$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 10 of 50

10. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 21$ , $y = 8$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 11 of 50

11. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 9$ , $y = 2$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 12 of 50

12. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 30$ , $y = 7$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 13 of 50

13. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 16$ , $y = 11$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 14 of 50

14. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 8$ , $y = 7$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 15 of 50

15. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 32$ , $y = 5$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 16 of 50

16. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 24$ , $y = 8$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 17 of 50

17. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 6$ , $y = 11$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 18 of 50

18. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 33$ , $y = 4$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 19 of 50

19. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 11$ , $y = 18$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 20 of 50

20. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 10$ , $y = 9$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 21 of 50

21. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 35$ , $y = 6$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 22 of 50

22. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 12$ , $y = 17$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 23 of 50

23. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 12$ , $y = 5$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 24 of 50

24. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 36$ , $y = 11$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 25 of 50

25. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 18$ , $y = 12$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 26 of 50

26. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 15$ , $y = 2$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 27 of 50

27. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 6$ , $y = 8$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 28 of 50

28. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 14$ , $y = 16$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 29 of 50

29. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 14$ , $y = 3$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 30 of 50

30. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 9$ , $y = 7$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 31 of 50

31. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 20$ , $y = 12$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 32 of 50

32. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 16$ , $y = 7$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 33 of 50

33. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 8$ , $y = 9$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 34 of 50

34. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 11$ , $y = 22$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 35 of 50

35. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 18$ , $y = 5$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 36 of 50

36. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 12$ , $y = 8$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 37 of 50

37. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 24$ , $y = 11$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 38 of 50

38. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 20$ , $y = 4$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 39 of 50

39. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 7$ , $y = 12$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 40 of 50

40. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 27$ , $y = 10$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 41 of 50

41. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 21$ , $y = 6$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 42 of 50

42. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 15$ , $y = 7$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 43 of 50

43. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 28$ , $y = 10$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 44 of 50

44. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 22$ , $y = 7$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 45 of 50

45. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 9$ , $y = 12$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 46 of 50

46. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 30$ , $y = 9$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 47 of 50

47. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 4$ , $y = 9$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 48 of 50

48. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 24$ , $y = 5$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 49 of 50

49. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 17$ , $y = 8$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.
Question 50 of 50

50. Question
Topic: Inverse Proportion, Writing the Equation.

Please have pen and paper handy to show workings out. 📝

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 32$ , $y = 9$ .

Write down an equation in the form $y = \frac{k}{x}$ .
- y =
  
  ⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.
Correct

Incorrect
Hint

💡 Inverse proportion: write the equation fast.

Use y = ^k⁄_x when it says “inversely proportional.”

Turn it into a number machine.
```
x (input) ──▶ [ reciprocal (¹⁄_x) ] ──▶ [ × k ] ──▶ y (output)
```
Process: put in x, make ¹⁄_x, multiply by k to get y = ^k⁄_x.

Rearrange for the constant: from y = ^k⁄_x, multiply both sides by x to get k = x × y.

Using your given pair, multiply x and y to find k, then substitute into y = ^k⁄_x to write the specific equation.

k is a constant: every valid pair on this relationship gives the same product x × y = k.

Reciprocal reminder: flip the number or variable, for example x → ¹⁄_x and ^a⁄_b → ^b⁄_a.

PR.6B, SEC 3, invrs prpn wrte eqn (50)

PR.6B, SEC 3, invrs prpn wrte eqn (50)

Quiz Summary

Information

Results

Results

Categories

1. Question

Topic: Inverse Proportion, Writing the Equation.

🔗 The variable y is inversely proportional to x.

When x=7, y=5.

Write down an equation in the form y=kx.

y =

⌨️ Enter your answer in form y=kx in the fields provided.

Hint

2. Question

Topic: Inverse Proportion, Writing the Equation.

🔗 The variable y is inversely proportional to x.

When x=25, y=8.

Write down an equation in the form y=kx.

y =

⌨️ Enter your answer in form y=kx in the fields provided.

Hint

3. Question

Topic: Inverse Proportion, Writing the Equation.

🔗 The variable y is inversely proportional to x.

When x=14, y=10.

Write down an equation in the form y=kx.

y =

⌨️ Enter your answer in form y=kx in the fields provided.

Hint

4. Question

Topic: Inverse Proportion, Writing the Equation.

🔗 The variable y is inversely proportional to x.

When x=35, y=8.

Write down an equation in the form y=kx.

y =

⌨️ Enter your answer in form y=kx in the fields provided.

Hint

5. Question

Topic: Inverse Proportion, Writing the Equation.

🔗 The variable y is inversely proportional to x.

When x=3, y=8.

Write down an equation in the form y=kx.

y =

⌨️ Enter your answer in form y=kx in the fields provided.

Hint

6. Question

Topic: Inverse Proportion, Writing the Equation.

🔗 The variable y is inversely proportional to x.

When x=27, y=3.

Write down an equation in the form y=kx.

y =

⌨️ Enter your answer in form y=kx in the fields provided.

Hint

7. Question

Topic: Inverse Proportion, Writing the Equation.

🔗 The variable y is inversely proportional to x.

When x=12, y=12.

Write down an equation in the form y=kx.

y =

⌨️ Enter your answer in form y=kx in the fields provided.

Hint

8. Question

Topic: Inverse Proportion, Writing the Equation.

🔗 The variable y is inversely proportional to x.

When x=5, y=6.

Write down an equation in the form y=kx.

y =

⌨️ Enter your answer in form y=kx in the fields provided.

Hint

9. Question

Topic: Inverse Proportion, Writing the Equation.

🔗 The variable y is inversely proportional to x.

When x=28, y=9.

Write down an equation in the form y=kx.

y =

⌨️ Enter your answer in form y=kx in the fields provided.

Hint

10. Question

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 7$ , $y = 5$ .

Write down an equation in the form $y = \frac{k}{x}$ .

⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 25$ , $y = 8$ .

Write down an equation in the form $y = \frac{k}{x}$ .

⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 14$ , $y = 10$ .

Write down an equation in the form $y = \frac{k}{x}$ .

⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 35$ , $y = 8$ .

Write down an equation in the form $y = \frac{k}{x}$ .

⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 3$ , $y = 8$ .

Write down an equation in the form $y = \frac{k}{x}$ .

⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 27$ , $y = 3$ .

Write down an equation in the form $y = \frac{k}{x}$ .

⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 12$ , $y = 12$ .

Write down an equation in the form $y = \frac{k}{x}$ .

⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 5$ , $y = 6$ .

Write down an equation in the form $y = \frac{k}{x}$ .

⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 28$ , $y = 9$ .

Write down an equation in the form $y = \frac{k}{x}$ .

⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 21$ , $y = 8$ .

Write down an equation in the form $y = \frac{k}{x}$ .

⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 9$ , $y = 2$ .

Write down an equation in the form $y = \frac{k}{x}$ .

⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 30$ , $y = 7$ .

Write down an equation in the form $y = \frac{k}{x}$ .

⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 16$ , $y = 11$ .

Write down an equation in the form $y = \frac{k}{x}$ .

⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 8$ , $y = 7$ .

Write down an equation in the form $y = \frac{k}{x}$ .

⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 32$ , $y = 5$ .

Write down an equation in the form $y = \frac{k}{x}$ .

⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 24$ , $y = 8$ .

Write down an equation in the form $y = \frac{k}{x}$ .

⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 6$ , $y = 11$ .

Write down an equation in the form $y = \frac{k}{x}$ .

⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.

🔗 The variable $y$ is inversely proportional to $x$ .

When $x = 33$ , $y = 4$ .

Write down an equation in the form $y = \frac{k}{x}$ .

⌨️ Enter your answer in form $y = \frac{k}{x}$ in the fields provided.