MPM1D
FINAL EXAM
Part A: Multiple Choice – select the most correct answer
1.
Evaluate 42 + 9
a)
17
2.
Simplify 3m
a)
9m5
3.
Solve for
a)
1
4.
18 is what percent of 60?
a)
0.3
5.
Determine the length of side w for the pictured right triangle.
a)
3
6.
The slope of the line described by the equation 𝑦 = −4𝑥 + 3 is
a)
0
b)

25
c)
43
d)
16 807
9m6
c)
27m5 d)
27m6
c)
16
d)
28
c)
30
d)
500

2 3
b)
x in the proportion 4
𝑥
= 49
7
b)
b)
b)
b)
8
5
4
1
c)
c)
12
4
d)
d)
25.6
-4
4
7.
Which line is perpendicular to 𝑦
a)
𝑦 = −5𝑥 − 5
8.
An algebraic expression for the perimeter of a rectangle with a length of 4x and a width
of 3x is
a)
P = 3x + 4x
9.
A cylinder with a volume of 282.7 m3 and a diameter of 6m has a height of
approximately
a)
2.5 m
10.
a)
A regular polygon that has each exterior angle measure 45 has how many sides?
4
b)
6
c)
8
d)
16
4
=− 𝑥+9
5
8
5
b) 𝑦 = 10 𝑥 + 9
b)
b)
P = 6x + 8x
7.8 m
c) 𝑦 = 4 𝑥 − 5
c)
c)
5
d) 𝑦 = − 4 𝑥 − 17
P = 2(6x +8x) d)
10 m
d)
P = 2(3x - 4x)
47 m
0
PART B
Fill in the blank. Place your final answer in the space provided. Remember to include units.
1.
Simplify 15x +3y – 4x +1 2y
____________
2.
Simplify 3(2x – 4)
____________
3.
Simplify (2x - 3) – (4x +5)
____________
4.
If 24 
5.
If 24 cans of cola costs $3.99, the unit price per can is
____________
6.
The measure of the slope of the x-axis is
____________
7.
The equation of a line that is parallel to and
y
, determine the value of y
4
passes through the point (0, - 4) is
____________
____________
8.
Rewrite the formula in terms of h: 𝐴 = 𝜋𝑟 2 ℎ
9.
Determine the measure of
Angle CEB
_____________
C
B
?
D
78 
31 
A
E
____________
_____________
10.
A fish tank in the shape of a rectangular prism has a volume of
100 L. If all the dimensions of the tank are doubled, what will
be the measure of the new volume?
____________
PART C:
Short Answer: Show your work in the space provided.
1.
Simplify the following expressions:
a) −2𝑥(4𝑥 − 9)
c) 2(𝑥 − 3) − 4(3𝑥 − 4) + 5(2𝑥 − 7)
b) 3𝑥 2 𝑦(2𝑥 3 − 5𝑦 2 )
d)
3𝑥 4 𝑦 5
9𝑥 2 𝑦 3
2.
Solve for the unknown and check your solution.
a) 6𝑥 − 4 = 9𝑥 + 5
b)
1
5
1
(𝑦 − 3) = (𝑦 + 4)
6
3.
If a company buys coffee at a price of $5/kg and then sells it their stores for $18 /kg, what is the percentage
profit compared to the original cost of the coffee?
4.
Rewrite the equation of the line in slope intercept form. 4x + 6y -5 = 0
5.
Pat is filling a bathtub. She lets the water run for two minutes, which fills the tub one-quarter full. She
then turns off the water to answer the telephone. When she returns 3 minutes later, she turns the taps fully
open to finish filling the tub three quarters full, which takes another 3 minutes. She gets into the tub. After
a 10 minute bath, she pulls the plug, and the tub drains in 5 minutes. Sketch a graph of the water level in
the tub from start to finish. Remember to label the axes and to use appropriate scales.
6.
Determine
line that
points (3,
the equation of a
passes through the
12) and (- 2, -13).
7.
A cube has a side length of 5 cm. Determine the surface area of the largest pyramid that
will fit inside the cube. Include a sketch.
8.
Determine the perimeter and area of the unshaded portion of the figure below, given the
circle diameter of 7 cm and the perimeter of the entire figure is 42 cm.
9.
Using the information provided, determine the measure of the indicated sides and angles.
State the reason for each of your answers.
H
C
Given:
AB
F
DE
CH
D
CE = EB
CD = AD
E


m DE = 9cm
A
m CDG = 44 
m GEB = 154 
Determine:
G
a)
m AB
b)
m DAG
c)
m ABC
d)
m ACB
B