Let’s solve each equation one by one. These are all
one-step equations, meaning we only need to do
one math operation (like adding, subtracting, multiplying, or dividing) to find the value of the variable.
We’ll go in order from 1 to 12.
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Problem 1:
> 12 = r / 8
To get “r” by itself, multiply both sides by 8:
→ 12 × 8 = r
→ 96 = r
✔ r = 96
---
Problem 2:
> -2 = -4 + p
Add 4 to both sides to cancel out the -4:
→ -2 + 4 = p
→ 2 = p
✔ p = 2
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Problem 3:
> q / 5 = -15
Multiply both sides by 5:
→ q = -15 × 5
→ q = -75
✔ q = -75
---
Problem 4:
> d - 10 = 8
Add 10 to both sides:
→ d = 8 + 10
→ d = 18
✔ d = 18
---
Problem 5:
> -5 = a / 18
Multiply both sides by 18:
→ a = -5 × 18
→ a = -90
✔ a = -90
---
Problem 6:
> -17 = x - 15
Add 15 to both sides:
→ -17 + 15 = x
→ -2 = x
✔ x = -2
---
Problem 7:
> -10 = b / 8
Multiply both sides by 8:
→ b = -10 × 8
→ b = -80
✔ b = -80
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Problem 8:
> 55 - y = 0
Subtract 55 from both sides? Wait — better way: add y to both sides first:
→ 55 = y
Or just think: what number subtracted from 55 gives 0? That’s 55!
✔ y = 55
---
Problem 9:
> -4 + t = -14
Add 4 to both sides:
→ t = -14 + 4
→ t = -10
✔ t = -10
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Problem 10:
> -3.5 = m / 14
Multiply both sides by 14:
→ m = -3.5 × 14
Let’s calculate that:
3.5 × 14 = 49 → so -3.5 × 14 = -49
✔ m = -49
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Problem 11:
> k - 4.8 = 7.6
Add 4.8 to both sides:
→ k = 7.6 + 4.8
→ 7.6 + 4.8 = 12.4
✔ k = 12.4
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Problem 12:
> v - 1/3 = 2 2/3
First, convert mixed number to improper fraction:
2 2/3 = 8/3
So:
v - 1/3 = 8/3
Add 1/3 to both sides:
→ v = 8/3 + 1/3 = 9/3 = 3
✔ v = 3
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Final Answer:
1. r = 96
2. p = 2
3. q = -75
4. d = 18
5. a = -90
6. x = -2
7. b = -80
8. y = 55
9. t = -10
10. m = -49
11. k = 12.4
12. v = 3
Parent Tip: Review the logic above to help your child master the concept of equation worksheet.