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Linear Equations Practice

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Linear Equations Practice

Use inverse operations to find each unknown. Show your steps, and check solutions by substituting them back into the equation.

One-step equations

Undo the operation applied to the variable.

1.Solve: a + 9 = 16

2.Solve: b − 4.8 = 6.7

3.Solve: 7c = 42

4.Solve: d ÷ 5 = 3.6

Two-step equations

Work backwards one operation at a time, keeping both sides of the equation balanced.

5.Solve: 4x + 3 = 27

6.Solve: 5y − 8 = 22

7.Solve: 3m + 4.5 = 19.5

8.Solve: (p − 2) ÷ 4 = 3

Equations in context

Write an equation to represent each situation, then solve it.

9.At the post office, Ari has $8.40 more in his account than Sione. Ari's balance is $26.90. Let s be Sione's balance. Write an equation and find s.

10.Georgia pays the same price for 3 padded envelopes and a $2.50 stamp. The total is $14.50. Let e be the price of one envelope. Write an equation and find e.

11.A rectangular parcel label has a perimeter of 34 cm. Its width is 6 cm. Let l be its length. Use P = 2l + 2w to write an equation and find the length.

Challenge and check

Solve the equation, then verify your result by substitution.

12.Solve: x/3 + 2 = 8

13.Check your solution to x/3 + 2 = 8 by substituting the value you found for x. Show the left side and state whether the equation is true.

3 printable pages

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Page 3

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More Maths Worksheets

Year 7–8

Linear Equations Practice

Linear Equations Practice

One-step equations

Two-step equations

Equations in context

Challenge and check

3 printable pages

About This Worksheet

Free in Kuraplan

Print-Ready

AI-Generated

For Teachers & Parents

Need a custom version of this worksheet?

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