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Equations & Inequalities - Free Printable

Equations &  Inequalities

Educational worksheet: Equations & Inequalities. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Equations & Inequalities
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.
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