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Simple Algebraic Substitution with Negative Numbers

In this worksheet, students substitute negative numbers for letters and work out the value of simple expressions with one variable.

'Simple Algebraic Substitution with Negative Numbers' worksheet

Key stage:  KS 2

Curriculum topic:  Maths and Numerical Reasoning

Curriculum subtopic:  Equations and Algebra

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

When we substitute a number for a letter, we simply replace the letter with the number.

However, we must remember that 4b means 4 x b.

 

Example

Work out the value of the following expression when a = -4

3a - 7

 

Answer

3a - 7

= (3 x a) - 7

= (3 x - 4) - 7

= -12 - 7

= -19

Work out the value of the following expression when a = -7

20 - a

Work out the value of the following expression when a = -7

20 + 2a

Work out the value of the following expression when a = -10

20 + 2a

Work out the value of the following expression when a = -10

a + a

Work out the value of the following expression when a = -3

5a + 2

Work out the value of the following expression when a = -8

2 - 2a

Work out the value of the following expression when a = -4

10 - 2a

Work out the value of the following expression when a = -4

2a + 5

Work out the value of the following expression when a = -7

2a + 6

Work out the value of the following expression when a = -9

2a - 7

  • Question 1

Work out the value of the following expression when a = -7

20 - a

CORRECT ANSWER
27
EDDIE SAYS
20 - a 20 - (-7) 20 + 7 27
  • Question 2

Work out the value of the following expression when a = -7

20 + 2a

CORRECT ANSWER
6
EDDIE SAYS
20 + 2a 20 + (2 x a) 20 + (2 x -7) 20 + (- 14) 20 - 14 6
  • Question 3

Work out the value of the following expression when a = -10

20 + 2a

CORRECT ANSWER
0
EDDIE SAYS
20 + 2a 20 + (2 x a) 20 + (2 x -10) 20 + (-20) 20 - 20 0
  • Question 4

Work out the value of the following expression when a = -10

a + a

CORRECT ANSWER
-20
EDDIE SAYS
a + a (-10) + (-10) -10 - 10 -20
  • Question 5

Work out the value of the following expression when a = -3

5a + 2

CORRECT ANSWER
-13
EDDIE SAYS
5a + 2 (5 x a) + 2 (5 x -3) + 2 -15 + 2 -13
  • Question 6

Work out the value of the following expression when a = -8

2 - 2a

CORRECT ANSWER
18
EDDIE SAYS
2 - 2a 2 - (2 x a) 2 - (2 x -8) 2 - (-16) 2 + 16 18
  • Question 7

Work out the value of the following expression when a = -4

10 - 2a

CORRECT ANSWER
18
EDDIE SAYS
10 - 2a 10 - (2 x a) 10 - (2 x -4) 10 - (-8) 10 + 8 18
  • Question 8

Work out the value of the following expression when a = -4

2a + 5

CORRECT ANSWER
-3
EDDIE SAYS
2a + 5 (2 x a) + 5 (2 x -4) + 5 (-8) + 5 -3
  • Question 9

Work out the value of the following expression when a = -7

2a + 6

CORRECT ANSWER
-8
EDDIE SAYS
2a + 6 (2 x a) + 6 (2 x -7) + 6 (-14) + 6 -8
  • Question 10

Work out the value of the following expression when a = -9

2a - 7

CORRECT ANSWER
-25
EDDIE SAYS
2a - 7 (2 x a) - 7 (2 x -9) - 7 (-18) - 7 -25
---- OR ----

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