Name: Practice Test #2 : Linear Relations MFM1P

Knowledge:

1. For the following tables of values, determine if the relation is linear or non-linear using first

differences

X Y X Y X Y

-2 4 -2 7 -2 11

-1 8 -1 10 -1 17

0 12 0 13 0 23

1 16 1 16 1 28

2 20 2 17 2 34

2. For the following questions identify the initial value and the rate:

X Y

1 4

2 6

3 8

4 10

5 12

Initial Value: Initial Value:

Rate: Rate:

Graph the following by creating a table of values: Remember to label your graph and create a title.

3. 𝑦 = 1

2𝑥 + 3

x y

𝑦 = 2

3𝑥 − 5

Initial Value:

Rate:

Name: Practice Test #2 : Linear Relations MFM1P

Application Questions:

1. Craig Mobile offers a cellphone plan that gives you 200 minutes for $25 a month. They charge

you $0.15 for every text message that you send.

a. Is this a form of Direct or Partial Variation?

b. Is there a flat fee? How much is it and what does it represent?

c. What is the rate of this relation? What does it represent?

d. Create an equation to represent the relationship.

e. If my bill was $33.10 before taxes how many text messages did I send?

f. Graph the relation using any method learned. Remember to title your graph and label

your axis and label your line.

Name: Practice Test #2 : Linear Relations MFM1P

2. The table below shows the relationship between the cost to rent a bicycle, C, and the number of

hours, n. Write an Equation that represents this relationship.

Number of hours, n

Rental cost, C

0 10

1 13

2 16

3 19

3. A taxi charges a flat fee of $3.75, plus $1.50 for every km driven. What is the total cost of a

10km trip?

4. Graph the following relations on the same set of axis

y = -2/3 x + 5

y = 2x – 8

y = 4/5 x

Name: Practice Test #2 : Linear Relations MFM1P Communication:

1. Fill in the blanks:

The initial value is the point where the line crosses the ________________ it can also be called

the _______________.

The _______________measures the steepness of the graph.

To calculate the rate we use the formula rate = __________

If the graph is decreasing, the rate will be _______________.

2. A basketball club offers two types of memberships.

a. Membership Y: No registration fee and $15 per hour for court time.

b. Membership Z: $40 registration fee and $5 per hour for court time.

Which of these relationships is partial variation? Explain and justify how you know.

Thinking:

Level 1 Level 2 Level 3 Level 4

Is unable to find the solution of the problem and is unable to extend some of the concepts.

Is unable to find the solution of the problem but is able to extend some of the concepts.

Is unable to find the solution of the problem because of errors, but is able to extend the concepts.

Is able to find the solution of the problem, extending the concepts.

1. The table below shows information about the linear relationship between the total cost per

month of Abbey’s cellphone plan and the number of text messages she sends

Month Number of text messages Total cost ($)

January 60 28

February 20 24

March 30 ?

Name: Practice Test #2 : Linear Relations MFM1P

2.