Let’s go through each problem one by one.
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Problem 1:
Equation:
x/5 = 2
To solve for x, we need to get x alone. Since x is divided by 5, we multiply both sides by 5:
x/5 × 5 = 2 × 5
→ x = 10
Check: 10 ÷ 5 = 2 → Correct!
Answer choice: D (10)
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Problem 2:
Equation:
4p = 16
To solve for p, divide both sides by 4:
4p ÷ 4 = 16 ÷ 4
→ p = 4
Check: 4 × 4 = 16 → Correct!
Answer choice: A (p = 4)
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Problem 3:
Equation:
x - 62 = 123
We want to isolate x. Since 62 is being subtracted from x, we add 62 to both sides:
x - 62 + 62 = 123 + 62
→ x = 185
So the correct step is:
add 62 to each side
Answer choice: C
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Problem 4:
Equation:
r + 12 = 25
Subtract 12 from both sides:
r + 12 - 12 = 25 - 12
→ r = 13
Check: 13 + 12 = 25 → Correct!
Answer choice: B (13)
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Problem 5:
Equation:
9x - 7 = -7
First, add 7 to both sides to cancel out the -7:
9x - 7 + 7 = -7 + 7
→ 9x = 0
Now divide both sides by 9:
9x ÷ 9 = 0 ÷ 9
→ x = 0
Check: 9(0) - 7 = -7 → Correct!
Answer choice: A (0)
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Final Answers:
1. D
2. A
3. C
4. B
5. A
Parent Tip: Review the logic above to help your child master the concept of 6th grade pre algebra worksheet.