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Solving Linear Equations

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Solving Linear Equations

Choose one answer for each multiple-choice question. For the other questions, show your working and give the value of the unknown.

Choose the correct answer

1.Which value of x makes 4x + 5 = 29 true?

2.Which equation has x = -3 as its solution?

2x + 1 = -5
3x - 2 = 7
x + 4 = 8
5x + 6 = 9

3.To begin solving 7x - 11 = 24, which operation should you apply to both sides?

Add 11
Subtract 11
Divide by 7
Multiply by 7

4.Solve 3(x + 2) = 27. What is x?

Solve each equation

Show the steps you use to find the unknown.

5.Solve 6x - 7 = 35.

6.Solve 4(x - 3) = 32.

7.Solve 5x + 4 = 2x + 25.

8.Solve (x - 5) ÷ 3 = 4.

9.Solve 2(3x + 1) = 4x + 16.

Use equations in problems

Define your unknown, write an equation, and solve it.

10.For the school play, Isla has £52 for costume accessories. She buys a £13 hat and several identical scarves costing £3 each. She has £9 left afterwards. How many scarves does she buy?

11.Theo is arranging a rectangular stage backdrop. Its perimeter is 50 metres, and its length is 5 metres more than twice its width. Find the width.

12.Keira is helping sell tickets for the school play. Adult tickets cost £8 each and child tickets cost £5 each. If 3 adult tickets and x child tickets bring in £49 altogether, how many child tickets were sold?