Expanding brackets worksheets with answers

Cambridge IGCSE 0580

Expand single and double brackets and collect like terms.

Sample sheet

Expanding brackets, Standard

Name Date

1
Expand and simplify $3(x + 3) + 3(x + 7)$ .
[3]
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2
Expand and simplify $4(x - 4) + 2(x + 1)$ .
[3]
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3
Expand and simplify $4(x + 7) + 3(x - 8)$ .
[3]
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4
Expand and simplify $3(x - 8) - 5(x - 2)$ .
[3]
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5
Expand and simplify $6(x + 4) + 5(x - 1)$ .
[3]
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6
Expand and simplify $3(x + 4) - 4(x - 1)$ .
[3]
Scan for help

Answers

Expanding brackets, Standard

1 $6x + 30$
2 $6x - 14$
3 $7x + 4$
4 $-2x - 14$
5 $11x + 19$
6 $-x + 16$

Method in brief

Multiply every term inside the bracket by the term outside. For two brackets, multiply each term in the first by each term in the second, then collect like terms and watch the signs.

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More worksheets

Expanding brackets worksheets with answers

Cambridge IGCSE 0580

Expand single and double brackets and collect like terms.

Sample sheet

Expanding brackets, Standard

Name Date

1
Expand and simplify $3(x + 3) + 3(x + 7)$ .
[3]
Scan for help
2
Expand and simplify $4(x - 4) + 2(x + 1)$ .
[3]
Scan for help
3
Expand and simplify $4(x + 7) + 3(x - 8)$ .
[3]
Scan for help
4
Expand and simplify $3(x - 8) - 5(x - 2)$ .
[3]
Scan for help
5
Expand and simplify $6(x + 4) + 5(x - 1)$ .
[3]
Scan for help
6
Expand and simplify $3(x + 4) - 4(x - 1)$ .
[3]
Scan for help

Answers

Expanding brackets, Standard

1 $6x + 30$
2 $6x - 14$
3 $7x + 4$
4 $-2x - 14$
5 $11x + 19$
6 $-x + 16$

Method in brief

Multiply every term inside the bracket by the term outside. For two brackets, multiply each term in the first by each term in the second, then collect like terms and watch the signs.

Learn the method

Stuck on a question?

Scan the code beside a question to get help with it.

Open the tutor