Multiplying Out Brackets and Simplifying
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• Introduction
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This worksheet is about multiplying out brackets and simplifying algebraic expressions.

Example 1

Simplify 4x -9(3 - 5x)

Answer

We copy down the 4x then multiply out the bracket (NB two negatives)

4x - 27 + 45x

Now we collect "like" terms, i.e. 4x and 45x

49x - 27

Example 2

Simplify 3y(y - 5) + 2y2 + 8y

Answer

Simplify 3y2 - 15y + 2y2 + 8y

Collect y2 terms together and y terms together

5y2- 7y

• Question 1
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Multiply out the brackets and simplify:

 x - 6(2 - 4x) =
25x - 12

-23x - 12

• Question 2
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Multiply out the brackets and simplify:

 3x - 8(1- 4x) =
25x -12

35x - 8

• Question 3
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Multiply out the brackets and simplify:

 2x - 9(1 - 8x) =
74x - 9

35x - 8

• Question 4
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Multiply out the brackets and simplify:

 4x - 4(1 - 6x) =
-20x - 4

28x - 4

• Question 5
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Multiply out the brackets and simplify:

 2x - 4(1 + 9x) =
38x - 4

-34x - 4

• Question 6
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Multiply out the brackets and simplify:

 4x + 4(3 - 5x) =
24x - 12

12 - 16x

• Question 7
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Multiply out the brackets and simplify:

 4x - 7(2 - 3x) =
25x - 72

25x - 14

• Question 8
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Multiply out the brackets and simplify:

 4y(y - 7) - 4y2 + 7y =
-21y

-35y

• Question 9
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Multiply out the brackets and simplify:

 2y(y - 9) - y2 + 4y =
y2 - 14y

2y2 - 14y

• Question 10
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Multiply out the brackets and simplify:

 4y(y - 3) - y2 + 4y =
3y2 - 16y

3y2 - 8y

Progress