Let’s solve each equation step by step. We’ll isolate the variable (the letter) on one side of the equals sign.
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1a. 3 + x = 6
Subtract 3 from both sides:
x = 6 - 3
x = 3
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1b. z + 10 = 5
Subtract 10 from both sides:
z = 5 - 10
z = -5
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2a. 11 = 2 + n
Subtract 2 from both sides:
11 - 2 = n
n = 9
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2b. 4 = r - 1
Add 1 to both sides:
4 + 1 = r
r = 5
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3a. 9 = 10y - 7y
Combine like terms on the right:
9 = 3y
Divide both sides by 3:
y = 9 ÷ 3
y = 3
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3b. t/9 = 1 - 12
First, simplify the right side:
t/9 = -11
Multiply both sides by 9:
t = -11 × 9
t = -99
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4a. 7 = y/10
Multiply both sides by 10:
7 × 10 = y
y = 70
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4b. b - 5 = 7 · 4
First, multiply on the right:
b - 5 = 28
Add 5 to both sides:
b = 28 + 5
b = 33
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5a. 5 = x/9
Multiply both sides by 9:
5 × 9 = x
x = 45
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5b. z + 7 = 6
Subtract 7 from both sides:
z = 6 - 7
z = -1
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6a. 12u - 8u = 12
Combine like terms:
4u = 12
Divide both sides by 4:
u = 12 ÷ 4
u = 3
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6b. r + 10 = 9
Subtract 10 from both sides:
r = 9 - 10
r = -1
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Final Answer:
1a. x = 3
1b. z = -5
2a. n = 9
2b. r = 5
3a. y = 3
3b. t = -99
4a. y = 70
4b. b = 33
5a. x = 45
5b. z = -1
6a. u = 3
6b. r = -1
Parent Tip: Review the logic above to help your child master the concept of solving equations worksheets.
