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Simplify Like Terms

In this worksheet, students simplify like algebraic terms involving several variables.

'Simplify Like Terms' worksheet

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Use Standard Mathematical Formulae

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

When we simplify algebraic expressions we combine the coefficients of like terms.

Like terms are terms with matching letters.

 

3a, 4a and a are like terms.

2b, -b, -5b are like terms.

2b and b2 are not like terms.

3b and 3 are not like terms.

3b, 5c and -2 are not like terms.

 

 

Example

Simplify -4 + 3b + 4b - a + 2b + 6a + 3

 

Answer

Look at the coefficients of all the as...... -a + 6a which are -1a + 6a

Combine them to get  -1 + 6 = 5

So we get 5a

 

Look at the coefficients of all the bs...... 3b + 4b + 2b which are 3b + 4b +2b

Combine them to get 3 + 4  +2 = 9

So we get 9b

 

Combine the numbers which are -4 + 3 = -1

 

The answer is 5a + 9b - 1

Simplify:

5b - 2b + 2a

 

3b - 2a

3b + 2a

5b

Simplify:

5b - 2a + 2a + 3b

8b - 4a

8b + 2a

8b

Simplify:

5b - 2a - 2a + 3b

8b - 4a

8b + 2a

8b

Simplify:

5b - 2a - 2a - 3b

8b - 4a

2b + 4a

2b - 4a

Simplify:

2 - 2a + 3a - 4

a - 2

2a

-2 - 5a

Simplify:

2 - 2a - 3a - 4

a - 2

2a

-2 - 5a

Simplify:

-2 - 2a - 3a - 4

-5a - 6

5a - 2

-2 - 5a

Simplify:

2 - 2a + 3a - 4b

-5a - 2b

5a - 2

a - 4b + 2

Simplify:

b - 2a + 3a - 4b

a - 3b

a - 5b

a - 4b

Simplify:

5 - a - a - a + 9

14 - 3a

a + 14

-4 - 3a

Simplify:

5 - a + a + 9

14 - 2a

14

14 + 2a

Simplify:

5 - a + a + 5

10 - 2a

0

10

Simplify:

5 - a + a - 5

10 - 2a

0

10

Simplify:

52 - 14a + 14a - 52

10 - 2a

0

10

Simplify:

523 + 14a + 14a - 523

1046

1046 + 28a

28a

Simplify:

23b + 12 - 20b - 3b

12

46b + 12

12 - 46b

Simplify:

23b + 12a - 20b - 3b - 4a - 8a

12a

46b + 12a

0

Simplify:

-a + 2b + 3c

-6abc

abc

-a + 2b + 3c

Simplify:

5a + 2a2 + 5b

10aab

50a² b

5a + 2a² + 5b

Simplify:

5a2 + 2a2

7a

7a²

5a² + 2a²

  • Question 1

Simplify:

5b - 2b + 2a

 

CORRECT ANSWER
3b + 2a
EDDIE SAYS

The like terms here are the terms in b

  • Question 2

Simplify:

5b - 2a + 2a + 3b

CORRECT ANSWER
8b
EDDIE SAYS

The like terms here are the terms in both a and b

  • Question 3

Simplify:

5b - 2a - 2a + 3b

CORRECT ANSWER
8b - 4a
EDDIE SAYS

The like terms here are the terms in both a and b

  • Question 4

Simplify:

5b - 2a - 2a - 3b

CORRECT ANSWER
2b - 4a
EDDIE SAYS

The like terms here are the terms in both a and b

  • Question 5

Simplify:

2 - 2a + 3a - 4

CORRECT ANSWER
a - 2
EDDIE SAYS

The like terms here are the terms in a

Don't forget to take signs into account -2a + 3a = a, not -5a
  • Question 6

Simplify:

2 - 2a - 3a - 4

CORRECT ANSWER
-2 - 5a
EDDIE SAYS

The like terms here are the terms in a

  • Question 7

Simplify:

-2 - 2a - 3a - 4

CORRECT ANSWER
-5a - 6
EDDIE SAYS

The like terms here are the terms in a

  • Question 8

Simplify:

2 - 2a + 3a - 4b

CORRECT ANSWER
a - 4b + 2
EDDIE SAYS

The like terms here are the terms in both a and b

  • Question 9

Simplify:

b - 2a + 3a - 4b

CORRECT ANSWER
a - 3b
EDDIE SAYS

The like terms here are the terms in both a and b

  • Question 10

Simplify:

5 - a - a - a + 9

CORRECT ANSWER
14 - 3a
EDDIE SAYS

The like terms here are the terms in a

and the numbers.
  • Question 11

Simplify:

5 - a + a + 9

CORRECT ANSWER
14
EDDIE SAYS

The like terms here are the terms in a

and the numbers.
  • Question 12

Simplify:

5 - a + a + 5

CORRECT ANSWER
10
EDDIE SAYS

The like terms here are the terms a

and the numbers.
  • Question 13

Simplify:

5 - a + a - 5

CORRECT ANSWER
0
EDDIE SAYS

The like terms here are the terms ina

and the numbers.
  • Question 14

Simplify:

52 - 14a + 14a - 52

CORRECT ANSWER
0
EDDIE SAYS

The like terms here are the terms in a

and the numbers. Don't forget that if you have one number minus otself, it makes zero
  • Question 15

Simplify:

523 + 14a + 14a - 523

CORRECT ANSWER
28a
EDDIE SAYS

The like terms here are the terms in a

and the numbers.
  • Question 16

Simplify:

23b + 12 - 20b - 3b

CORRECT ANSWER
12
EDDIE SAYS

The like terms here are the terms in b

  • Question 17

Simplify:

23b + 12a - 20b - 3b - 4a - 8a

CORRECT ANSWER
0
EDDIE SAYS

The like terms here are the terms in both a and b

and the numbers.
  • Question 18

Simplify:

-a + 2b + 3c

CORRECT ANSWER
-a + 2b + 3c
EDDIE SAYS
Are there any alike terms here?
  • Question 19

Simplify:

5a + 2a2 + 5b

CORRECT ANSWER
5a + 2a² + 5b
EDDIE SAYS
Is a the same as a2? Are there any alike terms here?
  • Question 20

Simplify:

5a2 + 2a2

CORRECT ANSWER
7a²
EDDIE SAYS

The like terms here are the terms in

---- OR ----

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