Math 9 LG 14 Practice Test #3

Name:

Multiple Choice
Identify the choice that best completes the statement or answers the question.

The pattern in this table continues. Determine the expression that relates the number of triangles to the figure number.

Figure, f	1	2	3	4	5
Number of Triangles, t	2	4	6	8	10

2 + t

2 + f

The cost to rent a piece of equipment is $24, plus $8.27 per hour.
Calculate the cost of renting the equipment for 6 h.

$1190.88

$73.62

$193.62

$38.27

Determine an equation that relates the number of circles, C, to the figure number, n.

The pattern in this table continues. Determine an equation that relates the term value to the term number.

Term Number, s	1	2	3	4	5
Term Value, w	6	10	14	18	22

Which graphs represent a linear relation?

P only

P, R, and S

P and S

P and R

Which tables of values represent a linear relation?
i)

x	1	2	3	4	5
y	4	7	12	19	28

ii)

x	0	1	2	3	4
y	0	5	10	15	20

iii)

x	1	2	3	4	5
y	5	9	13	17	21

iv)

x	0	1	2	3	4
y	12	11	10	9	8

ii, iii, and iv

ii and iii

All of these

i and iv

Sean cycles at an average speed of 5 m/s.
He travels a distance, d metres, in t seconds.
Write an equation that relates d and t.

This graph represents a linear relation.
Determine the value of y when x = 4.

This graph represents a linear relation.
Determine the value of y when x = –5.

10.

This graph represents a linear relation.
Determine the value of x when y = 5.

Short Answer

11.

In a table of values for a pattern, P = 17 when n = 2. Which equation might represent the pattern?

ii)

iii)

iv)

12.

Create a table of values for the linear relation

, then graph the relation.
Use values of x from 0 to 6.

x	0	1	2	3	4	5	6
y

13.

A helicopter is at a height of 1600 m when it starts descending to land.
The helicopter’s height changes at an average rate of 140 m/min.

a) Write an equation that relates the height of the helicopter, H metres, to the time since the helicopter began its descent, t minutes.
b) What is the height of the helicopter 9 min after it began its descent?

14.

Write the equations of the lines that intersect to form the shaded rectangle.

15.

Match each equation with a graph on the grid below.

ii)

iii)

iv)

Problem

16.

The pattern in the table continues.

n	1	2	3
P	7	11	15

a) Describe the pattern that relates P to n.
b) Write an equation that relates P to n.

17.

A phone company charges a fixed cost of $2.35 per month, plus $0.53 per minute for local calls and $1.07 per minute for long distance calls.

a) Write an equation that relates the total monthly cost, B dollars, to the local calls, p minutes, and long distance calls, q minutes.
b) Determine the phone bill for a month in which 53 min of local calls and 31 min of long distance calls were made.

18.

The pattern in this table continues.

Term Number, n	1	2	3	4	5
Term Value, v	–5	–2	1	4	7

a)      Write an equation that relates the term value, v, to the term number, n. Describe the pattern.
b)      Determine the value of v when n = 21.
c)      Which term number has a term value of 82?

19.

The lines on the grid below intersect to form square ABCD. The equations of the lines are: