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HouseVrbasso - Math9 - Linear Relationships

Total questions: 24

Worksheet time: 49mins

Name
Class
Date
1.

What would the y-values be in the table for the equation

y = 5x - 2

a)

-4, -3, -2, -1, 0

b)

-10, -5, 0, 5, 10

c)

-12, -7, -2, 3, 8

d)

8, 3, -2, -7, -12

2.

What would the y-values be in the table for the equation

4x - 2y = 2

a)

-5, -3, -1, 1, 3

b)

-6, -4, -2, 0, 2

c)

-9, -5, -1, 3, 7

d)

6, 4, 2, 0, -2

3.

Find the equation of the graph.

a)

y = -2x - 1

b)

y = -2x + 1

c)

y = -1/2x + 1

d)

y = 1/2x + 1

4.

Find the equation of the graph.

a)

y = -3x - 1

b)

y = 3x + 1

c)

y = -1/3x + 1

d)

y = 1/3x - 1

5.
What is the equation of this line?
a)
0
b)
undefined 
c)
y = -2
d)
x = -2
6.

Find a rule / equation from the table of values.

a)

y = -1/3x + 1

b)

y = -3x + 1

c)

y = 3x + 1

d)

y = 1/3x - 1

7.

Find a rule / equation from the table of values.

a)

y = 2x - 1

b)

y = 1/2x - 3

c)

y = -2x + 2

d)

y = 1/2x - 1

8.

Find a rule / equation from the table of values.

a)

y = x - 2

b)

y = -2x + 2

c)

y = -2x - 2

d)

y = -x - 2

9.

Find the gradient of the line passing through (2,0) and (-4,3)

a)

y = -1/2x + 1

b)

y = 2x + 1

c)

y = -2x + 2

d)

y = x - 1

10.

Find the gradient of the line passing through (-4,-5) and (4,1)

a)

y = 1/3x - 1

b)

y = 3/4x - 2

c)

y = x - 2

d)

y = 1/2x - 2

11.

Which equation has an x-intercept = 1 and y-intercept = 2

a)

4x + 2y = 4

b)

y = x + 2

c)

y = 2x + 2

d)

2y = 4x + 4

12.

Which equation has an x-intercept = -1 and y-intercept = -1/2

a)

y = -x - 1

b)

y = 1/2x - 1/2

c)

2y - x = 1

d)

x + 2y = -1

13.

Calculate the distance between the points (2,-3) and (-1,-7)

a)

5

b)

square root of 11

c)

square root of 13

d)

square root of 5

14.

What is the mid-point of the line segment between the coordinate pairs (3,-4) and (5,-8)

a)

(-1,2)

b)

(4,-6)

c)

(-6,4)

d)

(2,1)

15.

Which point lies on the line given in the equation

x + 2y = -1

a)

(-2,1)

b)

(-3,1)

c)

(-1,-1)

d)

(3,2)

16.

Which point lies on the line given in the equation

y = 2/3x - 1

a)

(3,1)

b)

(-3,-2)

c)

(-1,-3)

d)

(3,4)

17.

Find the gradient m of the line y = mx - 1 that passes through the point (2,2)

a)

-2

b)

2/3

c)

1

d)

3/2

18.

Find the value of m of the line that passes through point (3,-2) and has the equation 3y + mx = 6

a)

-4

b)

4

c)

3/4

d)

-2/3

19.

An electrician charges a fixed fee of $120, plus $30 per hour to fix an electrical problem. Write a rule for the cost C for hiring the electrician for h hours.

a)

C = 30 + 120h

b)

h = 120C + 30

c)

C = 30h + 120

d)

C = h + 120/30

20.

A photographer charges a fixed fee of $80 for a wedding and $50 per hour. How much will it cost to hire the photographer for 5 hours?

a)

$450

b)

$130

c)

$330

d)

$250

21.

Which of the following lines is parallel to the line

y = -4x - 2

a)

y = 4x + 2

b)

y = 4 - 2x

c)

4x + y = -7

d)

-4x + y = 3

22.

Which of the following lines is perpendicular to the line

2y - 3x = 4

a)

y = 3/2x + 4

b)

y = -3/2x - 4

c)

y = -2/3x + 2

d)

y = -3x + 2

23.

Find the line that is parallel to the line

y = 3x + 2

and passes through point (2,3)

a)

y = 1/3x + 3

b)

y = -3x + 3

c)

y = -1/3x - 3

d)

y = 3x - 3

24.

Find the line that is perpendicular to the line

2y - 4x = -2

and passes through point (-2,2)

a)

y = -1/2x - 1

b)

y = 1/2x + 1

c)

y = -2x - 1

d)

y = 2x - 1