Expanding Single Brackets - Worksheets, Questions and Revision

13 original exam-style questions - 3 pages of questions with a full mark scheme - free printable PDF.

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KS3 · Algebra

KS3.M-A8 Expanding Single Brackets

AQA KS3.M-A8 · Calculators not allowed · about 50 minutes
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Expand the single bracket 3(x + 4).
Expand 3(x + 4).
(1)
2
Expand the single bracket -2(x - 5), taking care with the negative sign.
Expand -2(x - 5).
(1)
3
Expand the single bracket 5(2x + 3).
Expand 5(2x + 3).
(1)
4
Expand and simplify the expression 2(x + 3) + x.
Work out 2(x + 3) + x.
(2)
5
Expand and simplify the expression -3(2x - 1) + 4x.
Work out -3(2x - 1) + 4x.
(2)
6
Expand and simplify the expression 3(a + 2) + 2(a - 5).
Work out 3(a + 2) + 2(a - 5).
(2)
7
Expand and simplify the expression 3(x + 4) - 2(x - 1).
Work out 3(x + 4) - 2(x - 1).
(2)
8
Expand and simplify the expression 2(3x + 4) - 5x.
Work out 2(3x + 4) - 5x.
(2)
9
Expand all brackets then simplify the expression (x + 2) + 3(x - 1) + 2(2x + 3).
Work out (x + 2) + 3(x - 1) + 2(2x + 3).
(3)
10
Expand the brackets and solve the linear equation 2(x + 3) + 5 = 3x + 1.
Solve 2(x + 3) + 5 = 3x + 1.
(2)
11
Expand the brackets and solve the linear equation -3(x - 2) + 4 = 2x.
Solve -3(x - 2) + 4 = 2x.
(2)
12
Expand and simplify, taking care with negative signs: -2(x + 3) - 3(x - 1).
Work out -2(x + 3) - 3(x - 1).
(2)
13
Expand and simplify the expression 4(x + 5) - 2(x + 3) + 3, then give your final simplified form.
Work out 4(x + 5) - 2(x + 3) + 3.
(3)
Mark scheme · KS3.M-A8 Expanding Single Brackets

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13