topic badge
CanadaON
Grade 7

7.03 Substitution

Worksheet
Substitution
1

Find the value of:

a

9 + m when m = 8

b

14 + v when v = 15

c

n - 2 when n = 5

d

n - 8 when n = 44

e

\dfrac{n}{7} when n = 14

f

\dfrac{u}{9} when u = 54

g

u \times 5 when u = 6

h

n \times 9 when n = 8

i

2x + 9 when x = 4

j

y^2 when y = -2

k

x^2 - 4x when x = 3

l

\dfrac{x+10}{4} when x = 2

m

\dfrac{3x}{4} when x = 8

n

2 \left( x+7 \right) when x = 4

o

\left( x+2 \right) \left( x - 1 \right) when x = -3

p

4y^2 + 9 when y = 2

2

Find the value of:

a

m + n when m = 7 and n = 12

b

4 x + 2 y + 3 when x = 5 and y = 4

c

x^2 - 4y when x = -2 and y = 5

d

8a + 4b - 9 when a = 2 and b = 5

e

\dfrac{5xy}{9} when x = 3 and y = 6

f

abc when a = 3, b = -2 and c = -1

3

For each formula find the value of y for the given value of x:

a

y = 6 x - 9, when x = 12.

b

y = \dfrac{x}{9} + 6, when x = 63.

c

y = 4-3x, when x = 7.

d

y = 14x+\dfrac{18}{5}, when x = \dfrac{1}{10}.

4

Explain how to evaluate 2s + 3t^2 - u when s = 2, t = -1 and u = 4.

Tables of values
5

Consider the following formulae:

a

q = p + 7

i

Complete the table:

p123456
q8910
ii

Find the value of q when p = 30.

b

q = 3 p

i

Complete the table:

p123456
q369
ii

Find the value of q when p = 20.

c

q = 6 p + 4

i

Complete the table:

p123456
q101622
ii

Find the value of q when p = 40.

d

n = m - 7

i

Complete the table:

m101112131415
n345
ii

Find the value of n when m = 20.

e

q = 5 p - 3.

i

Complete the table:

p123456
q2712
ii

Find the value of q when p = 20.

f

q = p^{2} + 5.

i

Complete the table:

p123456
q6914
ii

Find the value of q when p = 20.

6

For each equation below, complete a table of values of the form:

x1234
y
a
y = 7 x
b
y = x + 8
c
y = 2x - 6
d
y = \dfrac{x}{4}
e
y = 5x + 1
f
y = -3x
g
y = \dfrac{2x}{3}
h
y = 10 - 4x
Sign up to access Worksheet
Get full access to our content with a Mathspace account

Outcomes

7.C2.2

Evaluate algebraic expressions that involve whole numbers and decimal numbers.

What is Mathspace

About Mathspace