Name: ______________________
MPM1D Chapter 4 Test Review
35K
19A
25T
10C
/85
Multiple Choice
Identify the choice that best completes the statement or answers the question. You must provide
proof of your answer. 2 marks each. (18 K/U)
____
1. Which equation represents this problem? Twelve dollars is divided equally among 4
people.
a. 12x = 4
c. 4x = 12
b.
d.
= 12
=4
____
2. The perimeter of an equilateral triangle is 4.8 cm. Which equation gives the length of
one side?
a.
c. 4.8x = 3
b. 3x = 4.8
d.
____
3. By what number would you divide both sides to solve the equation 6x = 12?
a. 2
c. 6
b. 3
d. 12
____
4. Which is the correct solution for x + 2 = 4?
a. x = 12
c. x = 8
b. x = 6
d. x = 2
____
5. y = –2 is the correct solution for which equation?
a. 2y – 5 = 1
c. 3y + 1 = 5
b. y – 3 = –5
d. 4y + 8 = –4
____
6. Andre sells electronic items such as digital music players and cell phones. He is paid
$15/h plus 5% commission on sales. Which expression represents Andre’s total earnings?
a. 0.05t +15
c. 15 + 0.05s
b. 15t + 0.05s
d. 15t +5s
____
7. Molly is 4 years older than Fran. Together their ages add to 34. How old is Fran?
a. 30
c. 17
b. 11
d. 15
____
8. Which equation represents this sentence?
“5 cm less than double a length is 25 cm.”
a. 2l + 5 = 25
b.
____
c. 2l – 5 = 25
d. 2(l – 5) = 25
9. Nat and Stefan play on the same hockey team. Nat has scored 8 more goals than
Stefan, and together they have 36 goals. How many goals has Stefan scored?
a. 14
c. 16
b. 12
d. 10
Part A: Knowledge and Understanding (K)
1. Solve each equation below: (6K)
a) w – 9 = -12
b) 6x + 2 = 26
c) -5t - 4 = -29
d) 10z – 3 = 20z + 17
f) 3(k – 8) = -2(k + 3) + 7
e) 10x – 6 – 8x = 4x + 14
2. Solve each equation below (find the root of each equation) (8K):
)
a) (
b)
c)
(
)
d)
3. Rearrange the formula to isolate the indicated variable (3K)
a) I = Prt for t
b) Q = 5p + 10r for p
c)
for t
Part B: Application (A)
1. Write an equation to represent each sentence. (4A)
a) 5 times a number is 80
b) an area increased by 7 is 62
c) 3 more than 2 times a number 21.
2.
d) 8 less than 4 times a number is 24.
You are organizing a banquet for your local charity. You have a budget of $3000. A catering service
charges $21 per person plus 700 to rent the hall.
a) Write an equation that models the number of people you can afford to invite. (1A)
b) Solve the equation to determine how many people can come. (2A)
c) Modify the equation from part a to determine how much it would cost for 50 people? (2A)
3.
James sells peanuts at a hockey game. He earns $10.50 per hour plus $0.45 for each bag of peanuts
he sells.
a) Create an equation which shows how much James will earn for n hotdogs. (1A)
b) How much will James earn in a 4-h shift if he sells 125 bags of peanuts? (2A)
c) How many hotdogs must Ramesh sell to earn $140 in an 8-h shift? (2A)
4.
Arnold can cut a lawn in 3 hours. Ernie can cut the same lawn in 4 hours. How long would it take if
they worked together. (3A)
5.
Determine the point of intersection for each system of linear equations below: (2C, 1A each)
a)
b)
Part C: Thinking and Inquiry (T)
1. Charlene earns $150 more per week than her roommate Kristi and $100 less than her other roommate,
Sacha. Together the three friends earn $2050 per week. How much does each girl earn per week?
(6T)
2. The length of the banquet hall where Naomi works is double its width. The area of the banquet hall is
200 m2. (3T)
a) Find the length and the width of the banquet hall.
b)
If Naomi walks around the perimeter of the banquet hall, how far does she walk?
3. The power, P, in an electric circuit is related to the voltage, V, and the resistance, R, by the formula:
a)
Rearrange the formula to isolate P. (1T)
b)
Find the power, in watts, when the voltage is 100V and the resistance is 50 ohms. (2T)
c)
What is the resistance of a circuit that uses 100 W of power with a voltage of 20V? (2T)
d)
The resistance of a circuit is 15 ohms. The same circuit uses 60W of power. Find the voltage
in the circuit. (2T)
4.
A square and an equilateral triangle have the same perimeter. The sides of the square are 3 times
some number, k. The sides of the triangles are one more than twice the length of k. What are the
dimensions of the figures. Draw a picture. (5T)
Part D: Communication (6C)
1.
First Choice Taxi charges $2.50, plus 40 cents for each kilometre. GTA Taxi charges $3.25 plus 25
cents for each kilometre. What advice would you give someone deciding between the two companies.
You will need to graph the equations on the grid provided to start.
NOTES:
Advice on which company to use, and why.