Let's solve each one-step inequality step by step, match the answer to the correct letter, and then fill in the riddle boxes.
---
Problem 1: -2x ≤ 6
Divide both sides by -2 →
flip the inequality sign
→ x ≥ -3
✔ Letter: R
---
Problem 2: x - 3 ≥ 2
Add 3 to both sides:
→ x ≥ 5
✔ Letter: A
---
Problem 3: x/2 > 3
Multiply both sides by 2:
→ x > 6
✔ Letter: V
---
Problem 4: -x/3 > 1
Multiply both sides by 3:
→ -x > 3
Now divide by -1 →
flip the sign:
→ x < -3
✔ Letter: S
---
Problem 5: -2x ≤ -6
Divide both sides by -2 →
flip the sign:
→ x ≥ 3
✔ Letter: I
---
Problem 6: -x/2 < 3
Multiply both sides by 2:
→ -x < 6
Divide by -1 →
flip the sign:
→ x > -6
✔ Letter: T
---
Problem 7: -2x ≥ 6
Divide by -2 →
flip the sign:
→ x ≤ -3
✔ Letter: Q
---
Problem 8: x + 5 > 3
Subtract 5:
→ x > -2
✔ Letter: N
---
Problem 9: x - 5 > 2
Add 5:
→ x > 7
✔ Letter: L
---
Problem 10: x + 1 ≥ 3
Subtract 1:
→ x ≥ 2
✔ Letter: H
---
Problem 11: 2x < -4
Divide by 2:
→ x < -2
✔ Letter: U
---
Problem 12: -2x ≥ -4
Divide by -2 →
flip the sign:
→ x ≤ 2
✔ Letter: E
---
Problem 13: x - 5 ≥ 3
Add 5:
→ x ≥ 8
✔ Letter: Y
---
Problem 14: x/2 < -3
Multiply by 2:
→ x < -6
✔ Letter: G
---
## Now let’s fill in the riddle boxes using the problem numbers:
We have 4 rows of blanks with problem numbers above them.
---
First row: 1 12 3 12 1 4 12
- 1 → R
- 12 → E
- 3 → V
- 12 → E
- 1 → R
- 4 → S
- 12 → E
→
R E V E R S E
---
Second row: 6 10 12
- 6 → T
- 10 → H
- 12 → E
→
T H E
---
Third row: 5 8 12 7 11 2 9 5 6 13
- 5 → I
- 8 → N
- 12 → E
- 7 → Q
- 11 → U
- 2 → A
- 9 → L
- 5 → I
- 6 → T
- 13 → Y
→
I N E Q U A L I T Y
---
Fourth row: 4 5 14 8
- 4 → S
- 5 → I
- 14 → G
- 8 → N
→
S I G N
---
##
✔ Final Answer to the Riddle:
>
REVERSE THE INEQUALITY SIGN
This is a common rule when solving inequalities — whenever you multiply or divide by a negative number, you must flip the inequality sign.
---
## 🎉 Completed Riddle:
REVERSE THE INEQUALITY SIGN
This is the key takeaway for solving one-step inequalities correctly!
---
Parent Tip: Review the logic above to help your child master the concept of one step inequalities worksheet.