Let’s solve each equation one by one. We’ll isolate the variable (the letter) on one side of the equals sign.
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1a.
k + 9 = 7
Subtract 9 from both sides:
k = 7 - 9
k = -2
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1b.
12 = x / 5
Multiply both sides by 5:
x = 12 × 5
x = 60
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2a.
6 + t = 1
Subtract 6 from both sides:
t = 1 - 6
t = -5
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2b.
11n - 6n = 6
Combine like terms:
5n = 6
Divide both sides by 5:
n = 6/5 or 1.2
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3a.
1 · 6 = b - 8
Simplify left side:
6 = b - 8
Add 8 to both sides:
b = 6 + 8
b = 14
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3b.
7 = a + 6
Subtract 6 from both sides:
a = 7 - 6
a = 1
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4a.
y + 11 = 9
Subtract 11 from both sides:
y = 9 - 11
y = -2
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4b.
s / 10 = 7
Multiply both sides by 10:
s = 7 × 10
s = 70
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Final Answer:
1a. k = -2
1b. x = 60
2a. t = -5
2b. n = 6/5 (or 1.2)
3a. b = 14
3b. a = 1
4a. y = -2
4b. s = 70
Parent Tip: Review the logic above to help your child master the concept of algebra for beginners worksheets.