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Simplifying Expressions Worksheet

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Simplifying Expressions Worksheet

Simplify each expression by collecting like terms. Expand brackets where asked. Show your working for written questions.

Choose the equivalent expression

1.Which expression is equivalent to 6x + 2x?

8x
12x
8x²
6x²

2.Expand 3(2y + 5).

6y + 5
5y + 15
6y + 15
6y + 8

3.Simplify 9a − 4a + 2a.

7a
15a
7a²
5a

4.Which expression is already simplified?

4m + 3m
5p + 2q
2(3r + 1)
7t − 2t

Match each expression to its simplified form

Write the correct letter next to each expression.

Simplify the expressions

Collect like terms. Expand brackets where indicated.

5.Simplify 4x + 3y + 2x − y.

6.Expand and simplify 5(2a − 3) + a.

7.Simplify 7p + 4q − 3p + 2q − q.

8.Expand and simplify 3(2x + 4) − 2(x − 1).

9.Expand and simplify 2(4m − 3) + 3(m + 5).

Expressions in context

Form and simplify an expression for each situation.

10.A rectangle has a length of (4x + 1) cm and a width of (x + 3) cm. Find a simplified expression for its perimeter.

11.Sophie buys x notebooks at 80p each and (x + 2) folders at £1.10 each. Write a simplified expression for the total cost in pounds.

12.A bike hire shop charges £4 for each of the first 2 hours, then £2.50 for each extra hour. If a customer hires a bike for (x + 2) hours, where x is a positive whole number, write a simplified expression for the total charge.