Let’s solve each question step by step. “Make y the subject” means rearrange the equation so that
y = ..., isolating y on one side.
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1. Make y the subject of `y + 2x = 14`
Subtract `2x` from both sides:
> y = 14 - 2x
✔ Correct answer:
c) y = 14 - 2x
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2. Make y the subject of `3p - y = 2q`
We want to isolate y. First, subtract `3p` from both sides:
> -y = 2q - 3p
Now multiply both sides by -1:
> y = 3p - 2q
✔ Correct answer:
a) y = 3p - 2q
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3. Make y the subject of `4p = 2q + y`
Subtract `2q` from both sides:
> 4p - 2q = y
Or written as:
> y = 4p - 2q
✔ Correct answer:
b) y = 4p - 2q
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7. Make y the subject of `3f - y = 18`
Subtract `3f` from both sides:
> -y = 18 - 3f
Multiply both sides by -1:
> y = 3f - 18
✔ Correct answer:
b) y = 3f - 18
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8. Make y the subject of `3x = p/5 + y`
Subtract `p/5` from both sides:
> 3x - p/5 = y
Or written as:
> y = 3x - p/5
✔ Correct answer:
c) y = 3x - p/5
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9. Make y the subject of `y - 3s = 2t`
Add `3s` to both sides:
> y = 2t + 3s
✔ Correct answer:
a) y = 2t + 3s
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✔ Final Answers:
1.
c
2.
a
3.
b
7.
b
8.
c
9.
a
Let me know if you’d like explanations for any other questions!
Parent Tip: Review the logic above to help your child master the concept of rearranging formulas worksheet.