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Multiplying Out Brackets and Simplifying

In this worksheet, students multiply out brackets and simplify algebraic expressions.

'Multiplying Out Brackets and Simplifying' worksheet

Key stage:  KS 3

Curriculum topic:  Algebra

Curriculum subtopic:  Simplify Algebraic Expressions to Maintain Equivalence

Difficulty level:  

down

Worksheet Overview

QUESTION 1 of 10

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 

Multiply out the brackets and simplify:

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

-23x - 12

Multiply out the brackets and simplify:

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

35x - 8

Multiply out the brackets and simplify:

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

35x - 8

Multiply out the brackets and simplify:

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

28x - 4

Multiply out the brackets and simplify:

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

-34x - 4

Multiply out the brackets and simplify:

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

12 - 16x

Multiply out the brackets and simplify:

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

25x - 14

Multiply out the brackets and simplify:

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

-35y

Multiply out the brackets and simplify:

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

2y2 - 14y

Multiply out the brackets and simplify:

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

3y2 - 8y

  • Question 1

Multiply out the brackets and simplify:

x - 6(2 - 4x) =
CORRECT ANSWER
25x - 12
  • Question 2

Multiply out the brackets and simplify:

3x - 8(1- 4x) =
CORRECT ANSWER
35x - 8
  • Question 3

Multiply out the brackets and simplify:

2x - 9(1 - 8x) =
CORRECT ANSWER
74x - 9
  • Question 4

Multiply out the brackets and simplify:

4x - 4(1 - 6x) =
CORRECT ANSWER
28x - 4
  • Question 5

Multiply out the brackets and simplify:

2x - 4(1 + 9x) =
CORRECT ANSWER
-34x - 4
  • Question 6

Multiply out the brackets and simplify:

4x + 4(3 - 5x) =
CORRECT ANSWER
12 - 16x
  • Question 7

Multiply out the brackets and simplify:

4x - 7(2 - 3x) =
CORRECT ANSWER
25x - 14
  • Question 8

Multiply out the brackets and simplify:

4y(y - 7) - 4y2 + 7y =
CORRECT ANSWER
-21y
  • Question 9

Multiply out the brackets and simplify:

2y(y - 9) - y2 + 4y =
CORRECT ANSWER
y2 - 14y
  • Question 10

Multiply out the brackets and simplify:

4y(y - 3) - y2 + 4y =
CORRECT ANSWER
3y2 - 8y
---- OR ----

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