Topics
4. Linear relationships
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CanadaON
Grade 8

4.02 Visualising a table of values

Lesson
Worksheet
Practice
Worksheet
Table of values
1

For each of the following linear equations, 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
2

For each of the following linear equations, complete a table of values of the form:

x-3-2-10123
y
a
y = 4 x
b
y = x + 3
c
y = 2x + 1
d
y = \dfrac{x}{5}
e
y = -x + 2
f
y = -2x + 5
g
y = 3x - 4
h
y = 9 - 2x
Plot points
3

For each of the following equations:

i

Complete the table of values.

ii

Plot the points from the table on a coordinate plane.

iii

State whether the relationship is linear or non-linear.

a

y = 2 x

x-1012
y
b

y = 3 x + 4

x-1012
y
c

y = - x + 2

x-1012
y
d

y = - 4 x + 5

x-1135
y
e

y = 2 x - 4

x-2024
y
f

y = -4 x -1

x-1012
y
4

Consider the equation y = \dfrac{3 x}{2} - 2.

a

Complete the table of values.

b

Plot the points from the table on a coordinate plane.

x-1012
y
Graph lines
5

Consider the equation y = - 3 x.

a

Complete the table of values.

b

Use the two points where x = - 1 and x = 1 to sketch the graph of the line.

c

Does the point \left(0, 0\right) lie on this line?

x-1012
y
6

Consider the equation y = 4 x + 5.

a

Complete the table of values.

b

Use the two points where x = - 1 and x = 1 to sketch the graph of the line.

c

Does the point \left(2, 13\right) lie on this line?

x-1012
y
7

For each of the following equations:

i

Complete the table of values.

ii

Use the two points where x = - 1 and x = 1 to sketch the graph of the line.

x-1012
y
a

y = - 2 x + 11

b

y = \dfrac{5 x}{2} - 3

8

For each of the following linear equations:

i

Complete the table of values.

ii

Use the two axes intercepts, where x = 0 and y=0, to sketch the graph of the line.

a

y = 2 x - 4

x0123
y
b

y = - 2 x + 4

x0123
y
c

y = \dfrac{x}{3} -2

x0246
y
d

y = \dfrac{5 x}{3} - 5

x0369
y
9

For each of the following linear equations:

i

Complete the table of values.

ii

Sketch the graph of the line.

a

y = x + 4

x-1012
y
b

y = 2 x + 4

x-1012
y
c

y = - 2 x - 2

x-3036
y
d

y = 2 x - 3

x-50510
y
e

y = - \dfrac{3 x}{2} + 6

x-10135
y
f

y = \dfrac{x}{5} + 2

x-50510
y
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Outcomes

8.B2.8

Compare proportional situations and determine unknown values in proportional situations, and apply proportional reasoning to solve problems in various contexts.

8.C1.1

Identify and compare a variety of repeating, growing, and shrinking patterns, including patterns found in real-life contexts, and compare linear growing and shrinking patterns on the basis of their constant rates and initial values.

8.C1.2

Create and translate repeating, growing, and shrinking patterns involving rational numbers using various representations, including algebraic expressions and equations for linear growing and shrinking patterns.

8.C4

Apply the process of mathematical modelling to represent, analyse, make predictions, and provide insight into real-life situations.

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