Let’s solve each equation one by one.
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1a. 4 + n = -5 + (-9)
First, simplify the right side:
-5 + (-9) = -14
So now:
4 + n = -14
Subtract 4 from both sides:
n = -14 - 4
n = -18
✔ Check: 4 + (-18) = -14 → Correct.
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1b. 9 + v = -7
Subtract 9 from both sides:
v = -7 - 9
v = -16
✔ Check: 9 + (-16) = -7 → Correct.
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2a. -2 = -4 + x
Add 4 to both sides:
-2 + 4 = x
x = 2
✔ Check: -4 + 2 = -2 → Correct.
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2b. 2 = 10b
Divide both sides by 10:
b = 2 ÷ 10
b = 0.2 (or 1/5)
✔ Check: 10 × 0.2 = 2 → Correct.
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3a. -7 = -8t - 12t
Combine like terms on the right:
-8t - 12t = -20t
So:
-7 = -20t
Divide both sides by -20:
t = -7 ÷ -20
t = 7/20 (or 0.35)
✔ Check: -8*(7/20) -12*(7/20) = (-56/20) - (84/20) = -140/20 = -7 → Correct.
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3b. 1 · 2 = w / -6
Simplify left side:
2 = w / -6
Multiply both sides by -6:
w = 2 × (-6)
w = -12
✔ Check: -12 ÷ -6 = 2 → Correct.
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4a. v / 7 = 5
Multiply both sides by 7:
v = 5 × 7
v = 35
✔ Check: 35 ÷ 7 = 5 → Correct.
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4b. n / 12 = -5 - 11
Simplify right side:
-5 - 11 = -16
So:
n / 12 = -16
Multiply both sides by 12:
n = -16 × 12
n = -192
✔ Check: -192 ÷ 12 = -16 → Correct.
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Final Answer:
1a. n = -18
1b. v = -16
2a. x = 2
2b. b = 0.2
3a. t = 7/20
3b. w = -12
4a. v = 35
4b. n = -192
Parent Tip: Review the logic above to help your child master the concept of solving equations worksheet.
