Substitution

The Maths Habit

In football, what does
a substitute do?

Takes the place of another player

Substitute
To replace a letter with a number.

4a + 3

a = 5

4(5) + 3

6a + 5

when a = 3

5a − 2b

when a = 6, b = 4

= 22

5(6) − 2(4)

4x − 3y

when x = 7, y = 5

= 13

5a − 2b

when a = 6, b = 4

= 22

6m − 4n

when m = 5, n = 3

= 18

5a − 2b

when a = 6, b = 4

= 22

7p − 3q

when p = 4, q = 5

= 13

5a − 2b

when a = 6, b = 4

= 22

3c + 5d

when c = 8, d = 2

= 34

5a − 2b

when a = 6, b = 4

= 22

10h − 4g

when g = 7, h = 3

= 2

a2 − 2b

when a = −4, b = 3

Substitution worksheet, page 1

Substitution worksheet, page 2

Answer sheet

  1. Hiring a bike costs C pounds, where C = 8 + 3h and h is the number of hours. How much does it cost to hire a bike for 5 hours?

    £23
  2. v = u + at. Work out v when u = 4, a = −2 and t = 5.

    −6
  3. When x = −2, which is bigger: x2 or 2x?

    x2
  4. Work out 4k2 and (4k)2 when k = 3. Why are they different?

    36 and 144: in 4k2 only k is squared

  1. Work out the value of 5p − 2q when p = 4 and q = 3.

    14
  2. Work out the value of x2 + 3y when x = −5 and y = 2.

    31
  3. Theo works out 3m2 when m = 2 and gets 36. Find the right answer.

    12
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