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  1. Maths
  2. Year 8
  3. Algebra: Expressions
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Multiplying Out Brackets (2)

In this worksheet, students multiply out brackets containing algebraic terms.

'Multiplying Out Brackets (2)' worksheet

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Use and Interpret Algebraic Notation

Difficulty level:  

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Worksheet Overview

QUESTION 1 of 10

When we multiply out brackets, everything inside the bracket gets multiplied by whatever is outside the bracket.

Take care with the signs remembering the rules about multiplying negative numbers.

The following examples show how the 3 and the -3 outside the brackets affect the terms inside the brackets.

 

Multiply out the brackets and select the correct answer.

 

3(-2x + 4)

32x + 34

-6x + 12

x + 4

Multiply out the brackets and select the correct answer.

 

3(5x + 14)

15x + 14

15x + 42

35x + 314

Multiply out the brackets and select the correct answer.

 

3(5x - 40)

15x - 120

15x - 40

35x - 340

Multiply out the brackets and select the correct answer.

 

30(4x - 3)

34x - 33

120x - 90

120x - 330

Multiply out the brackets and select the correct answer.

 

-3(4x - 15)

-7x - 18

12x - 45

-12x + 45

Multiply out the brackets and select the correct answer.

 

-3(15x + 9)

-45x - 27

45x - 9

-45x + 9

Multiply out the brackets and select the correct answer.

 

-30(5x - 12)

-150x - 360

150x - 42

-150x + 360

Multiply out the brackets and select the correct answer.

 

3(15 - 2x)

45 - 6x

45x - 1

45x - 6

Multiply out the brackets and select the correct answer.

 

-3(25 - x)

-75 - 3x

75x - 3

-75 + 3x

Multiply out the brackets and select the correct answer.

 

-4(25x + 4)

-100x + 16

-100x -16

-100 + 16x

  • ANSWERS
  • Question 1

Multiply out the brackets and select the correct answer.

 

3(-2x + 4)

CORRECT ANSWER
-6x + 12
  • ANSWERS
  • Question 2

Multiply out the brackets and select the correct answer.

 

3(5x + 14)

CORRECT ANSWER
15x + 42
  • ANSWERS
  • Question 3

Multiply out the brackets and select the correct answer.

 

3(5x - 40)

CORRECT ANSWER
15x - 120
  • ANSWERS
  • Question 4

Multiply out the brackets and select the correct answer.

 

30(4x - 3)

CORRECT ANSWER
120x - 90
  • ANSWERS
  • Question 5

Multiply out the brackets and select the correct answer.

 

-3(4x - 15)

CORRECT ANSWER
-12x + 45
  • ANSWERS
  • Question 6

Multiply out the brackets and select the correct answer.

 

-3(15x + 9)

CORRECT ANSWER
-45x - 27
  • ANSWERS
  • Question 7

Multiply out the brackets and select the correct answer.

 

-30(5x - 12)

CORRECT ANSWER
-150x + 360
  • ANSWERS
  • Question 8

Multiply out the brackets and select the correct answer.

 

3(15 - 2x)

CORRECT ANSWER
45 - 6x
  • ANSWERS
  • Question 9

Multiply out the brackets and select the correct answer.

 

-3(25 - x)

CORRECT ANSWER
-75 + 3x
  • ANSWERS
  • Question 10

Multiply out the brackets and select the correct answer.

 

-4(25x + 4)

CORRECT ANSWER
-100x -16
---- OR ----

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