Let’s solve each equation one by one. We’ll isolate the variable (x or y) on one side of the equation to find its value.
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1. 1 • (x + 7) = 0
Multiply:
1 • (x + 7) = x + 7
So:
x + 7 = 0
Subtract 7 from both sides:
x = -7
✔ Check: 1 • (-7 + 7) = 1 • 0 = 0 → Correct.
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2. 2 + x/12 = 2
Subtract 2 from both sides:
x/12 = 0
Multiply both sides by 12:
x = 0
✔ Check: 2 + 0/12 = 2 + 0 = 2 → Correct.
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3. 8 - x = 7
Subtract 8 from both sides:
-x = -1
Multiply both sides by -1:
x = 1
✔ Check: 8 - 1 = 7 → Correct.
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4. 7 + 1 • y = 12
Simplify: 1 • y = y
So: 7 + y = 12
Subtract 7:
y = 5
✔ Check: 7 + 5 = 12 → Correct.
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5. 9 • y + 8 = 98
Subtract 8:
9y = 90
Divide by 9:
y = 10
✔ Check: 9•10 + 8 = 90 + 8 = 98 → Correct.
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6. 11 + y/10 = 12
Subtract 11:
y/10 = 1
Multiply by 10:
y = 10
✔ Check: 11 + 10/10 = 11 + 1 = 12 → Correct.
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7. 4 • x + 4 = 20
Subtract 4:
4x = 16
Divide by 4:
x = 4
✔ Check: 4•4 + 4 = 16 + 4 = 20 → Correct.
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8. 2 + 8 • x = 66
Subtract 2:
8x = 64
Divide by 8:
x = 8
✔ Check: 2 + 8•8 = 2 + 64 = 66 → Correct.
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9. 11 + 1 • x = 23
Simplify: 1 • x = x
So: 11 + x = 23
Subtract 11:
x = 12
✔ Check: 11 + 12 = 23 → Correct.
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10. 3 • y = 0
Divide both sides by 3:
y = 0
✔ Check: 3 • 0 = 0 → Correct.
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Final Answer:
1. x = -7
2. x = 0
3. x = 1
4. y = 5
5. y = 10
6. y = 10
7. x = 4
8. x = 8
9. x = 12
10. y = 0
Parent Tip: Review the logic above to help your child master the concept of grade 11 math worksheet.
