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Simplifying Expressions

In this worksheet, students simplify algebraic expressions.

'Simplifying Expressions' worksheet

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Simplify Algebraic Expressions to Maintain Equivalence

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

In this worksheet, we will learn how to simplify expressions.

To simplify an expression we have to collect together the terms that are alike, that is all the x's, all the y's and all the terms that are just numbers.

Sometimes it is necessary to multiply out brackets.    

Remember we are just simplifying expressions.  It is impossible to solve expressions as there are no equals signs and these are not equations.

 

Example 1

Simplify 2x + 5 - 4x - 1 + x

 

Answer 1

2x - 4x + x + 5 - 1

= -x + 4 or 4 - x

 

Example 2

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

 

Answer 2

First we multiply out the brackets to get

3x - 12 - 2x + 2

Then we collect like terms.

3x - 2x - 12 + 2

x - 10

Simplify the expression:

4y - 2x + 8y + 4x

Simplify the expression:

8x + 9 - 4x - 5 + x

Simplify the expression:

7(x - 2) - 5

Simplify the expression:

5(x + 7) - 4(x - 4)

Select all the correct answers.

x + 19

x + 51

19 + x

51 + x

Simplify the expression:

7x + 2 - 3x - 8 + x

Select all the correct answers.

-6 + 5x

11x +10

5x - 6

4x - 6

Simplify the expression:

7y - 4x + 4y + 7x

Select the correct answer.

11x + 11y

3x + 11y

11x - 3y

Simplify the expression:

4x + 9 - 8x - 3 + x

Select the correct answer.

13x + 6

-4x - 12

6 - 3x

Simplify the expression:

4y - 9x + 6y + 2x

Select the correct answer.

-7x + 10y

-2y + 11x

-2y - 11x

Simplify the expression:

2(x - 9) - 2

Select the correct answer.

2x - 11

2x - 16

2x - 20

Simplify the expression:

4 (x - 6) - 3

Select the correct answer.

4x - 21

4x - 27

4x + 21

  • Question 1

Simplify the expression:

4y - 2x + 8y + 4x

CORRECT ANSWER
12y+2x
12y + 2x
2x+12y
2x + 12y
  • Question 2

Simplify the expression:

8x + 9 - 4x - 5 + x

CORRECT ANSWER
5x+4
5x + 4
4+5x
4 + 5x
  • Question 3

Simplify the expression:

7(x - 2) - 5

CORRECT ANSWER
7x-19
7x - 19
-19+7x
-19 + 7x
  • Question 4

Simplify the expression:

5(x + 7) - 4(x - 4)

Select all the correct answers.

CORRECT ANSWER
x + 51
51 + x
  • Question 5

Simplify the expression:

7x + 2 - 3x - 8 + x

Select all the correct answers.

CORRECT ANSWER
-6 + 5x
5x - 6
  • Question 6

Simplify the expression:

7y - 4x + 4y + 7x

Select the correct answer.

CORRECT ANSWER
3x + 11y
  • Question 7

Simplify the expression:

4x + 9 - 8x - 3 + x

Select the correct answer.

CORRECT ANSWER
6 - 3x
  • Question 8

Simplify the expression:

4y - 9x + 6y + 2x

Select the correct answer.

CORRECT ANSWER
-7x + 10y
  • Question 9

Simplify the expression:

2(x - 9) - 2

Select the correct answer.

CORRECT ANSWER
2x - 20
  • Question 10

Simplify the expression:

4 (x - 6) - 3

Select the correct answer.

CORRECT ANSWER
4x - 27
---- OR ----

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