Multiplying Out Brackets and Simplifying
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  • Introduction
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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 -5 outside the brackets affect the terms inside the brackets.

 

 

Example

Multiply out the brackets and simplify by collecting like terms.

3(4x - 2) - 5(2x + 3)

 

Answer

From the explanation above we get

12x - 6 - 10x - 15

Now collect the x terms to get 2x and the numbers to get -21

The answer is 2x - 21

  • Question 1
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Multiply out the brackets and simplify by collecting like terms.

Select the correct answer.

 

3(-2x + 4) + 2(x + 1)

-8x + 14

-4x + 14

32x + 34

  • Question 2
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Multiply out the brackets and select the correct answer.

 

3(5x + 14) + 2(x + 1)

35x + 314

17x + 44

15x + 44

  • Question 3
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Multiply out the brackets and select the correct answer.

 

3(5x - 40) - 2(x + 1)

35x - 340

13x - 40

13x - 122

  • Question 4
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Multiply out the brackets and select the correct answer.

 

30(4x - 3) - 2(2x + 1)

116x - 332

116x - 92

30x - 33

  • Question 5
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Multiply out the brackets and select the correct answer.

 

-3(4x - 15) - (x + 1)

-13x + 44

11x - 44

-8x - 19

  • Question 6
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Multiply out the brackets and select the correct answer.

 

-3(15x + 9) - 2(x - 1)

-47x - 29

-43x - 29

-47x - 25

  • Question 7
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Multiply out the brackets and select the correct answer.

 

-30(5x - 12) - (x - 6)

150x - 48

-151x - 354

-151x + 366

  • Question 8
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Multiply out the brackets and select the correct answer.

 

3(15 - 2x) - 3 (x - 2)

45x - 6

9x - 1

51 - 9x

  • Question 9
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Multiply out the brackets and select the correct answer.

 

-3(25 - x) - 3(2x + 1)

-78 - 3x

78x - 3

-75 - 3x

  • Question 10
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Multiply out the brackets and select the correct answer.

 

-4(25x + 4) + 5(20x - 3)

-200x -31

-31

200x + 1

Progress