Topics
4. Graphing Lines
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AustraliaAU
Year 12

4.02 Tables of values

Lesson
Worksheet
Practice
Worksheet
Tables of values
1

Consider the equation y = 7 x.

a

What is the value of y when x = - 5?

b

What is the value of y when x = 0?

c

What is the value of y when x = 5?

d

What is the value of y when x = 10?

e

Hence, complete the table of values:

x- 50510
y
2

For each of the following, use the equation to complete the table of values:

a

y = x

x- 1012
y
b

y = 5 x

x- 10- 505
y
c

y = 5 x + 6

x- 10- 505
y
d

y = \dfrac{x}{8}

x- 4- 202
y
e

y = - 3 x + 8

x- 6- 303
y
f

y = 3 x - 4

x- 3-126
y
g

y = - 5 x

x- 4- 2-12
y
h

y = - 4 x - 3

x- 2-114
y
i

y = - \dfrac{x}{8}

x- 1145
y
j

y = 4 x - 3

x- 4048
y
3

For each of the following equations:

i

Construct a table of values for x=-1,0,1,2.

ii

Hence, sketch the graph of the linear equation.

a
y = 4 x
b
y = - 4 x
c
y = 3 x + 1
d
y = - 2 x + 1
4

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

a

Complete the table of values below:

x-6-4-20
y
b

Sketch the graph of y = \dfrac{x}{2}.

5

Consider the equation y = - \dfrac{x}{5}.

a

Complete the table of values below:

x-10-505
y
b

Sketch the graph of y = - \dfrac{x}{5}.

6

Consider the equation y = \dfrac{x}{2} + 5.

a

Complete the table of values below:

x-4-202
y
b

Sketch the graph of y = \dfrac{x}{2} + 5.

7

Consider the equation y = - \dfrac{x}{4} + 5.

a

Complete the table of values below:

x-8-404
y
b

Sketch the graph of y = - \dfrac{x}{4} + 5.

8

Consider the equation y = \dfrac{x}{6} - 5.

a

Complete the table of values below:

x-5-306
y
b

Sketch the graph of y = \dfrac{x}{6} - 5.

9

Consider the equation y = - \dfrac{x}{3} - 6.

a

Complete the table of values below:

x-3-2-10
y
b

Sketch the graph of y = - \dfrac{x}{3} - 6.

10

Complete the table of values for the following graphs:

a
2
4
6
8
x
2
4
6
8
10
y
x4567
y
b
2
4
6
8
10
12
x
2
4
6
8
10
y
x36912
y
11

Consider the following graph:

a

Complete the table of values:

x1234
y
b

Does the point \left(3, 8\right) lie on the line?

1
2
3
4
5
x
2
4
6
8
10
y
12

Consider the following graph:

a

Complete the table of values:

x36912
y
b

Does the point \left(3, 5\right) lie on the line?

2
4
6
8
10
12
x
1
2
3
4
5
y
13

Consider the equation y = - x.

a

Complete the table of values:

b

Sketch a graph of the line.

c

Does the point \left( 2.5 , - 2.5 \right) lie on the line?

x- 1012
y
14

Consider the equation y = - x + 1.

a

Complete the table of values:

b

Sketch a graph of the line.

c

Does the point \left( 1.5 , - 0.5 \right) lie on the line?

x-1012
y
15

Consider the following graph where the points form a linear pattern:

a

State the coordinates of the next point in the pattern to the right.

b

Complete the table of values for the pattern of points:

x0123
y
c

Write the rule for the line that would pass through the given points in the form y=x+c.

d

As x increases, does the value of y increase or decrease?

1
2
3
4
5
x
2
4
6
8
10
y
16

Consider the following graph, where the points form a linear pattern:

a

State the coordinates of the next point in the pattern to the right.

b

Complete the table of values for the pattern of points:

x10111213
y6
c

Write the rule for the line that would pass through the given points in the form y=x-c.

d

As x increases, does the value of y increase or decrease?

2
4
6
8
10
12
14
x
2
4
6
8
10
12
y
17

Consider the following equations:

i

Construct a table of values for x=-1,0,1.

ii

Sketch the graph of the equation.

a
y = 8 x
b
y = 9 x + 1
c
y = - \dfrac{5 x + 4}{3}
d
y = - 7 x
e
y = - 7 x - 3
f
y = \dfrac{5 x + 3}{4}
g
y - 9 x - 6 = 0
18

Consider the equation y = - x - 2.

a

Complete the table of values:

b

Sketch the graph of the line.

c

State the coordinates of the axes intercepts.

d

Find x when y = - 4.

x- 1013
y
Applications
19

Amy is building a brick shed and starts on one of the side walls. Her progress is shown:

Complete the table of values:

Hours1234
Number of layers
20

The height of a candle is measured at 15-minute intervals.

Complete the table of values with the height of the candle:

Time (minutes)15304560
Height (cm)
21

Complete the table of values for the figures in the pattern:

Step number1234510
Number of squares
22

Complete the table of values for the matchstick figures in the pattern:

Step number1234510
Number of matches
23

After each week, the number of apples on an apple tree increase according to the given pictures.

Complete the table of values:

Week1234
Number of apples
24

The following figures were made from matchsticks of equal length:

Complete the table of values for the figures:

Step number123456
Number of matchsticks
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ACMEM122

generate tables of values for linear functions, including for negative values of x

ACMEM123

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