PA.8B, SEC 1, Slving 1 stp inqlts(50)
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Question 1 of 50
1. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
2x < -6
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 2 of 50
2. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
> -1
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 3 of 50
3. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
-1 < 2a ≤ 1
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 4 of 50
4. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
3y > 0
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 5 of 50
5. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
< 1
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 6 of 50
6. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
-1 ≤ < 1
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 7 of 50
7. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
6a ≥ -12
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 8 of 50
8. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
2x ≥ -4
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 9 of 50
9. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
-1 < 2λ < 1
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 10 of 50
10. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
7θ > 14
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 11 of 50
11. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
-1 ≤ x ≤ 1
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 12 of 50
12. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
-1 ≤ 5β ≤ 1
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 13 of 50
13. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
≤ 2
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 14 of 50
14. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
-1 < 2y < 1
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 15 of 50
15. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
-1 < < 1
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 16 of 50
16. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
≥ 1
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 17 of 50
17. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
-1 ≤ ≤ 1
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 18 of 50
18. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
-1 ≤ 2y ≤ 1
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 19 of 50
19. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
2x ≥ 0
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 20 of 50
20. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
-1 < 2θ ≤ 1
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 21 of 50
21. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
-1 < 10a < 1
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 22 of 50
22. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
3y < -9
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 23 of 50
23. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
-1 ≤ 2λ < 1
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 24 of 50
24. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
-1 ≤ ≤ 1
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 25 of 50
25. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
4a ≤ 12
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 26 of 50
26. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
-1 < < 1
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 27 of 50
27. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
-1 < 2λ ≤ 1
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 28 of 50
28. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
5θ > -10
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 29 of 50
29. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
-1 ≤ ≤ 1
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 30 of 50
30. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
-1 ≤ < 1
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 31 of 50
31. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
2x > 6
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
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Question 32 of 50
32. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
< 2
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
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Question 33 of 50
33. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
-1 < 2a < 1
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
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Question 34 of 50
34. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
-1 < 2x < 1
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 35 of 50
35. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
3y ≤ 9
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 36 of 50
36. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
≥ 1
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 37 of 50
37. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
-1 ≤ θ ≤ 1
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 38 of 50
38. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
-1 ≤ -5y ≤ 1
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 39 of 50
39. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
4a < -8
Select the correct option below: ⬇️
CorrectIncorrect -
Question 40 of 50
40. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
9x ≤ 27
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 41 of 50
41. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
-1 < ≤ 1
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 42 of 50
42. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
5θ ≥ 10
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 43 of 50
43. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
10y < 0
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 44 of 50
44. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
-1 ≤ 2β < 1
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 45 of 50
45. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
> 1
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 46 of 50
46. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
2a > 2
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 47 of 50
47. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
-1 < 4x < 1
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 48 of 50
48. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
< -2
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 49 of 50
49. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
3θ ≤ 6
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).
-
Question 50 of 50
50. Question
Topic: Solving one step inequalities.
Please have pen and paper handy to show workings out. 📝
Solve the following inequality:
-1 ≤ ≤ 1
Select the correct option below: ⬇️
CorrectIncorrectHint
Don’t stress.
A one-step inequality just means you only have to do one operation (like adding, subtracting, multiplying, or dividing) to isolate the variable.
1) First, treat it like a normal equation to find the boundary (replace the inequality symbol with an “=”).
2) Solve for the variable (e.g., divide both sides by the coefficient next to x or y).
3) Put the inequality symbol back.
4) If you multiplied or divided by a negative number, flip (reverse) the inequality direction.
5) Finally, draw a quick number line to check which values are included (open circle if it’s strictly “greater than” or “less than”, and a solid circle if it’s “greater than or equal to” or “less than or equal to”).