Expanding Single Brackets: Fluency and Exam Drill - Worksheets, Questions and Revision

19 original exam-style questions - 4 pages of questions with a full mark scheme - free printable PDF.

Download PDF Jump to mark scheme (page 5)Read the revision guide

Next in this strand

Revision Library

revisionlibrary.co.uk

KS3 · Algebra

KS3.M-A8D Expanding Single Brackets: Fluency and Exam Drill

AQA KS3.M-A8 · Calculators not allowed · about 50 minutes

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Expand 5(x + 2).

(1)

Expand 3(x - 4).

(1)

Expand -4(x + 3).

(1)

Expand -2(x - 7).

(1)

Expand 6(2x + 1).

(1)

Expand 7(3x - 2).

(1)

Expand -3(4x + 5).

(1)

Expand and simplify 3(x + 5) + 2x.

(2)

Expand and simplify 4(x - 3) + 7.

(2)

Expand and simplify 2(3x + 4) - 5.

(2)

Expand and simplify -3(x + 2) + 10.

(2)

Expand and simplify 5(a + 3) + 2(a - 1).

(2)

Expand and simplify 4(x + 6) - 3(x - 2).

(2)

Expand and simplify 5(2x - 3) - 3(x + 4).

(3)

Expand the brackets and solve the equation 3(x + 4) = 2x + 19.

(3)

Expand the brackets and solve the equation 4(x - 1) + 3 = 2x + 11.

(3)

A rectangle has length (x + 5) cm and width 3 cm. The perimeter of the rectangle is 46 cm. Form and solve an equation to find x.

(3)

A gardener buys tomato seed packs costing (2x + 3) pounds each and pepper seed packs costing (x - 1) pounds each. He buys 3 tomato packs and 2 pepper packs.

(a)Write and simplify an expression, in terms of x, for the total cost in pounds.(2)

(b)Given that x = 5, work out the total cost in pounds.(2)

A triangle has perimeter 5(x + 2) cm. Two of its sides are (x + 3) cm and (x + 5) cm.

(a)Expand 5(x + 2) to write the perimeter without brackets.(1)

(b)Find and simplify an expression, in terms of x, for the length of the third side.(2)

(c)Given that x = 4, find the length of the third side.(2)

Mark scheme · KS3.M-A8D Expanding Single Brackets: Fluency and Exam Drill

Question 1

B1 5x + 10 cao
Answer: 5x + 10

Question 2

B1 3x - 12 cao
Answer: 3x - 12

Question 3

B1 -4x - 12 cao
Answer: -4x - 12

Question 4

B1 -2x + 14 cao
Answer: -2x + 14

Question 5

B1 12x + 6 cao
Answer: 12x + 6

Question 6

B1 21x - 14 cao
Answer: 21x - 14

Question 7

B1 -12x - 15 cao
Answer: -12x - 15

Question 8

M1 expand 3(x+5) to 3x + 15 or equivalent method
A1 5x + 15 cao
Answer: 5x + 15

Question 9

M1 expand 4(x-3) to 4x - 12 or equivalent method
A1 4x - 5 cao
Answer: 4x - 5

Question 10

M1 expand 2(3x+4) to 6x + 8 or equivalent method
A1 6x + 3 cao
Answer: 6x + 3

Question 11

M1 expand -3(x+2) to -3x - 6 or equivalent method
A1 -3x + 4 cao
Answer: -3x + 4

Question 12

M1 expand both brackets: 5a + 15 and 2a - 2 shown
A1 7a + 13 cao
Answer: 7a + 13

Question 13

M1 expand both brackets: 4x + 24 and -3x + 6 or equivalent
A1 x + 30 cao
Answer: x + 30

Question 14

M1 expand 5(2x-3) to 10x - 15
M1 expand -3(x+4) to -3x - 12
A1 7x - 27 cao
Answer: 7x - 27

Question 15

M1 expand 3(x+4) to 3x + 12
M1 collect terms correctly, e.g. 3x + 12 = 2x + 19 leading to x = 19 - 12
A1 x = 7 cao
Answer: 7

Question 16

M1 expand 4(x-1) to 4x - 4, giving 4x - 1 = 2x + 11
M1 collect terms correctly, e.g. 2x = 12
A1 x = 6 cao
Answer: 6

Question 17

M1 form expression for perimeter, e.g. 2(x+5) + 2(3) or 2x + 16
M1 set expression equal to 46 and rearrange, e.g. 2x = 30
A1 x = 15 cao
Answer: 15

Question 18

(a) M1 expand both: 3(2x+3) = 6x + 9 and 2(x-1) = 2x - 2
(a) A1 8x + 7 cao
(a) Answer: 8x + 7
(b) M1 substitute x = 5 into 8x + 7
(b) A1 47 cao
(b) Answer: 47

Question 19

(a) B1 5x + 10 cao
(a) Answer: 5x + 10
(b) M1 subtract the two given sides from the perimeter, e.g. (5x+10) - (x+3) - (x+5)
(b) A1 3x + 2 cao
(b) Answer: 3x + 2
(c) M1 substitute x = 4 into 3x + 2
(c) A1 14 cm cao
(c) Answer: 14 cm

Question 19

5 marks

Did your answer earn the marks?

Mark my answers

Expanding Single Brackets: Fluency and Exam Drill - Worksheets, Questions and Revision

More on this topic

Next in this strand

KS3.M-A8D Expanding Single Brackets: Fluency and Exam Drill

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

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

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

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19