 # Simplifying Expressions

In this worksheet, students simplify algebraic expressions. Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Simplify Algebraic Expressions to Maintain Equivalence

Difficulty level:   ### 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

2x - 4x + x + 5 - 1

= -x + 4 or 4 - x

Example 2

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

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)

x + 19

x + 51

19 + x

51 + x

Simplify the expression:

7x + 2 - 3x - 8 + x

-6 + 5x

11x +10

5x - 6

4x - 6

Simplify the expression:

7y - 4x + 4y + 7x

11x + 11y

3x + 11y

11x - 3y

Simplify the expression:

4x + 9 - 8x - 3 + x

13x + 6

-4x - 12

6 - 3x

Simplify the expression:

4y - 9x + 6y + 2x

-7x + 10y

-2y + 11x

-2y - 11x

Simplify the expression:

2(x - 9) - 2

2x - 11

2x - 16

2x - 20

Simplify the expression:

4 (x - 6) - 3

4x - 21

4x - 27

4x + 21

• Question 1

Simplify the expression:

4y - 2x + 8y + 4x

12y+2x
12y + 2x
2x+12y
2x + 12y
• Question 2

Simplify the expression:

8x + 9 - 4x - 5 + x

5x+4
5x + 4
4+5x
4 + 5x
• Question 3

Simplify the expression:

7(x - 2) - 5

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

Simplify the expression:

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

x + 51
51 + x
• Question 5

Simplify the expression:

7x + 2 - 3x - 8 + x

-6 + 5x
5x - 6
• Question 6

Simplify the expression:

7y - 4x + 4y + 7x

3x + 11y
• Question 7

Simplify the expression:

4x + 9 - 8x - 3 + x

6 - 3x
• Question 8

Simplify the expression:

4y - 9x + 6y + 2x

-7x + 10y
• Question 9

Simplify the expression:

2(x - 9) - 2

2x - 20
• Question 10

Simplify the expression:

4 (x - 6) - 3

4x - 27
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