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Algebra Equations Practice Worksheet

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Algebra Equations Practice Worksheet

Simplify by collecting like terms. For equations and word problems, show the steps you use. Use a variable to represent the unknown where asked.

Simplifying expressions

1.Simplify: 7x − 3x + 2x

2.Simplify: 5a + 4 − 2a + 9

3.Simplify: 8y − 5 + 3y − 7

4.Which expression is equivalent to 6m + 2m − 5m?

3m
13m
3m²
m

5.Simplify: 4p + 3q + 2p − q

Solving equations

6.Find x: x + 9 = 23

7.Find n: 5n = 35

8.Find y: y − 8 = 17

9.Find k: 3k + 4 = 25

10.Find r: 4r − 6 = 22

Equations in context

11.At a school radio station, Anahera starts with some song requests. After she plays 11, there are 18 left in the queue. Write an equation and work out how many requests were in the queue at first.

12.Nikau has 3 equal-length audio clips with a combined length of 42 seconds. Write an equation and find the length of each clip.

13.A rectangular noticeboard is 12 cm long and has a perimeter of 38 cm. Write an equation using w for its width, then calculate the width. Use P = 2l + 2w.

14.Aisha buys 5 identical audio adapters and pays $45 altogether. Write an equation and find the cost of one adapter.