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Multiplying Out Brackets (1)

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

'Multiplying Out Brackets (1)' worksheet

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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

6x + 4

Multiply out the brackets and select the correct answer.

 

3(5x + 4)

35x + 34

15x + 4

15x + 12

Multiply out the brackets and select the correct answer.

 

3(5x - 4)

35x - 34

15x - 4

15x - 12

Multiply out the brackets and select the correct answer.

 

3(4x - 3)

12x - 33

12x - 9

7x - 9

Multiply out the brackets and select the correct answer.

 

-3(4x - 3)

-12x + 9

12x - 9

-7x - 9

Multiply out the brackets and select the correct answer.

 

-3(5x + 9)

-15x + 9

15x - 9

-15x - 27

Multiply out the brackets and select the correct answer.

 

-3(5x - 1)

-15x + 3

15x - 1

-15x - 3

Multiply out the brackets and select the correct answer.

 

3(5 - x)

15x - 3

15x - 1

15 - 3x

Multiply out the brackets and select the correct answer.

 

-3(5 - x)

-15 + 3x

15x - 3

-15 - 3x

Multiply out the brackets and select the correct answer.

 

-4(5x + 4)

-20 + 16x

-20x -16

-20x + 16

  • Question 1

Multiply out the brackets and select the correct answer.

 

3(2x + 4)

CORRECT ANSWER
6x + 12
EDDIE SAYS
Remember to multiply the term outside the bracket by the terms inside the bracket. 3 x 2x = 6x 3 x 4 = 12 3(2x + 4) = 6x + 12
  • Question 2

Multiply out the brackets and select the correct answer.

 

3(5x + 4)

CORRECT ANSWER
15x + 12
EDDIE SAYS
Remember to multiply the term outside the bracket by the terms inside the bracket. 3 x 5x = 15x 3 x 4 = 12 3(5x + 4) = 15x + 12
  • Question 3

Multiply out the brackets and select the correct answer.

 

3(5x - 4)

CORRECT ANSWER
15x - 12
EDDIE SAYS
Remember to multiply the term outside the bracket by the terms inside the bracket. 3 x 5x = 15x 3 x -4 = -12 3(5x - 4) = 15x - 12
  • Question 4

Multiply out the brackets and select the correct answer.

 

3(4x - 3)

CORRECT ANSWER
12x - 9
EDDIE SAYS
Remember to multiply the term outside the bracket by the terms inside the bracket. 3 x 4x = 12x 3 x -3 = -9 3(2x - 3) = 12x - 9
  • Question 5

Multiply out the brackets and select the correct answer.

 

-3(4x - 3)

CORRECT ANSWER
-12x + 9
EDDIE SAYS
Remember to multiply the term outside the bracket by the terms inside the bracket. -3 x 4x = -12x -3 x -3 = + 9 -3(4x - 3) = - 12x + 9
  • Question 6

Multiply out the brackets and select the correct answer.

 

-3(5x + 9)

CORRECT ANSWER
-15x - 27
EDDIE SAYS
Remember to multiply the term outside the bracket by the terms inside the bracket. -3 x 5x = -15x -3 x 9 = - 27 -3(5x + 9) = - 15x - 27
  • Question 7

Multiply out the brackets and select the correct answer.

 

-3(5x - 1)

CORRECT ANSWER
-15x + 3
EDDIE SAYS
Remember to multiply the term outside the bracket by the terms inside the bracket. -3 x 5x = -15x -3 x -1 = + 3 -3(5x - 1) = - 15x + 3
  • Question 8

Multiply out the brackets and select the correct answer.

 

3(5 - x)

CORRECT ANSWER
15 - 3x
EDDIE SAYS
Remember to multiply the term outside the bracket by the terms inside the bracket. 3 x 5 = 15 3 x -x = - 3x 3(5 - x) = 15 - 3x
  • Question 9

Multiply out the brackets and select the correct answer.

 

-3(5 - x)

CORRECT ANSWER
-15 + 3x
EDDIE SAYS
Remember to multiply the term outside the bracket by the terms inside the bracket. -3 x 5 = -15 -3 x - x = + 3x -3(5 - x) = - 15 + 3x
  • Question 10

Multiply out the brackets and select the correct answer.

 

-4(5x + 4)

CORRECT ANSWER
-20x -16
EDDIE SAYS
Remember to multiply the term outside the bracket by the terms inside the bracket. -4 x 5x = -20x -4 x 4 = -16 -4(5x + 4) = -20x - 16
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