Math 9 LG 14 Practice Test #4

Name:

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

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

A pattern can be represented by the equation

.
Which equations could represent the same pattern?

ii)

iii)

iv)

i, ii, and iii

i, iii, and iv

i, ii, and iv

All of these

Which graph represents the equation

Line S

Line Q

Line P

Line R

Which line is the graph of x + 5 = 0?

Line R

Line Q

Line P

Line S

Which equation describes a horizontal line?

ii)

iii)

iv)

iii

Which line represents the equation

Line R

Line S

Line P

Line Q

Which equations describe oblique lines?

ii)

iii)

iv)

iii and iv

ii and iv

i and iii

i and iv

Which graph on this grid has the equation

Graph S

Graph R

Graph Q

Graph P

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

10.

A car travels at a constant speed.
The graph shows how the distance of the car changes with time.
Estimate the time it takes to travel 270 km.

1 h

12 h

13 h

11 h

Short Answer

11.

Which equations represent a linear relation?

ii)

iii)

iv)

12.

a) Which table of values represents a linear relation?

i)

x	1	2	3	4
y	12	0	–4	–6

ii)

x	1	2	3	4
y	11	7	3	–1

iii)

x	1	2	3	4
y	13	10	5	–2

b) Write an equation that represents the linear relation.

13.

Dorina is having a party. She estimates that she will need 5 sandwiches for each guest, and 12 extra sandwiches for unexpected guests.

a) Write an equation that relates the total number of sandwiches, T, to the number of guests, p.
b) How many sandwiches will Dorina need for 16 guests?

14.

Graph the following lines on the same grid. Label the lines.

ii)

15.

Which equation describes the graph?
i)

ii)

iii)

iv)

Problem

16.

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?

17.

The graph below shows three lines.

a)      Write an equation to describe each line.
b)      Write an equation of a line that could be added to form a rectangle.
c)      Write two equations of lines that could be added to form a square.

18.

The lines on the grid below intersect to form rectangle PQRS.
The equations of the lines are:
; ;

; and

What is the equation of the line on which each side of the rectangle lies?
a) PQ b) QR c) RS d) PS

19.

a) Which square on the grip below is formed by the equations of these lines?

;

b) Which equations form square A?

;

20.

A resort rents out mobile phones by the day. This graph shows how the cost to rent a phone relates to the number of days the phone is rented.

a)      Estimate the cost to rent a phone for:
      i) 1 day
      ii) 13 days
b)      A customer paid $35.00 to rent a phone. For how many days did the customer rent the phone?