Grade 9 Mid Term Review
Multiple Choice
Name:
Identify the choice that best completes the statement or answers the question.
Chapter 2
1.
Which of the following represents these rational numbers in ascending order?
, 0.8,
a.
,
, 0.8,
b.
, 0.8,
2.
c.
,
,
d.
,
,
, 0.8,
, 0.8,
Order the rational numbers in descending order.
,
,
a.
b.
3.
,
,
,
,
,
,
,
d.
,
,
,
,
,
,
What is the rational number represented by point A on the number line?
c. –0.8
d. –3.2
a. 4.5
b. 0.8
4.
c.
Which rational number falls between
and
a. 4.4
b. 4.5
c. 4.6
d. 4.7
5.
Evaluate –4.7  3.8.
a. 17.86
b. 8.5
c. –8.5
d. –17.86
6.
Evaluate (–3.6)  (4.2 ÷ 3.5).
a. –1.03
b. –2.52
c. –4.32
d. –6.52
7.
?
The elevation of Mount Logan in the Yukon Territory is 5959 m. The depth of the Mariana Trench in the Pacific
Ocean is –10 911 m. What is the difference between the two elevations?
a. –10 911 m
c. 4952 m
b. –5659 m
d. 16 870 m
8.
What is
?
a.
c.
b.
d.
9.
Which of these numbers is not a perfect square?
a. 121
c. 64
b. 99
d. 36
10.
Determine the side length of a square with an area of 2.56 cm2.
a. 6.4 cm
c. 1.28 cm
b. 1.6 cm
d. 0.64 cm
Chapter 3
11.
Which of the following repeated multiplication forms represents the area of a square with a side length of 2?
a. 2  4
c. 2  2  2  2
b. 2  2
d. 2  2  2 4
12.
What is another way of expressing 73?
a. 37
c. 7  7  7
b. 7  3
d. 3  3  3  3  3  3  3
13.
In the expression 74, what does the number 4 represent?
a. base
c. multiple
b. exponent
d. power
14.
Which power has the greatest value? 232, 64, ()5, 102
2
a. 10
c. )5
4
b. 6
d. 232
15.
Evaluate the power ()3.
a. 125
b. 15
c. –15
d. –125
16.
What is the value of 4?
a. 1296
b. –24
c. 24
d. -1296
17.
Express 72  76 as a single power.
2
a. 7
b. 74
c. 78
d. 712
18.
Evaluate
.
a. 3125
b. 625
c. 125
d. 25
19.
Express (–4)3  (–4)9 as a single power.
a. (–4)3
c. (–4)12
6
b. (–4)
d. (–4)18
20.
Evaluate (–6)4  (–6)2.
a. 1 679 616
b. 46 656
c. 1296
d. 36
21.
Determine the value of (–3)0.
a. –3
b. –1
c. 0
d. 1
22.
Simplify
.
a. –36
b. 0
23.
c. 1
d. 36
Evaluate
.
a.
c. 2
b.
d. 4
Chapter 5
24.
In the term
a. binomial
b. coefficient
, the letter p is best described as being a(n)
c. exponent
d. variable
25.
The term
represents the
a. sum of 5 and
and
and z
b. product of 5 and
and
and z
26.
The expression
a. binomial
b. equation
c. 10 times the sum of x and y and z
d. 5 times the sum of
and
and z
can be described as a(n)
c. polynomial
d. term
27.
a. 2
How many terms are there in the polynomial
b. 3
c. 4
?
d. 12
28.
a. 1
What is the degree of the term
b. 2
c. 3
d. 5
29.
a. 4
The degree of the term
b. 7
c. 11
d. 28
30.
a. 3
What is the degree of the term
b. 4
c. 7
d. 9
31.
a. 2
The degree of the term
b. 3
c. 7
d. 9
32.
a.
b.
Identify the like terms in the following list of terms.
c.
and
and
d.
and
and
33.
a.
b.
An equivalent expression for the polynomial
c.
d.
?
is
?
is
,
,
,
,
would be
Answer the following question(s) using the information from the scenario below.
Renting a mountain bike requires a monthly rental fee, m, and a security deposit of 4 months’ rent. Renting a street bike also
requires a monthly rental fee, s, and a security deposit of 3 months’ rent. The monthly rental fees for the two types of bikes
are not the same.
34.
a.
b.
The term or expression that best represents the first month’s rental of a mountain bike would be
c.
d.
35.
a.
b.
What is the opposite expression for
36.
a.
b.
Subtract the following polynomials and combine like terms.
c.
d.
?
c.
d.
Chapter 7
37.
a.
b.
Determine the simplified form of the expression
c.
d.
38.
a. 6
b.
A rectangle has an area of
39.
a.
b.
Use the distributive property to expand
40.
a.
b.
Which expression represents the expanded form of
c.
d.
41.
a.
b.
The distance, in metres, travelled by a train, t seconds after the brakes are applied, is given by the expression
. What is the expanded form of this expression?
c.
d.
42.
Determine the unknown dimension of the rectangle shown below.
a.
b.
.
m2 and a length of 3x m. What is the width of the rectangle?
c.
d.
.
c.
d.
c.
d.
?
Chapter 8
43.
Solve
a. p = 0.22
.
b. p = 0.45
c. p = 2.88
d. p = 4.5
b. f = 0.36
c. f = 2.5
d. f = 2.75
c. m = 7.75
d. m = 9.5
c. d = 18.9
d. d = 21
c. a = 3.1
d. a = 37.975
c. s = 18
d. s = 22
49.
What is the value of q if
a. q = 0.396
b. q = 2.862
?
c. q = 4.100
d. q = 11.240
50.
Solve
a. b = 5.1
.
b. b = 6.88
c. b = 13.6
d. b = 29.52
51.
Solve
a. z = 0.43
.
b. z = 1.00
c. z = 1.29
d. z = 3.00
52.
What is
a. t = 0.69
?
b. t = 1.67
c. t = 2
d. t = 3
53.
What is
a. x = 3
b. x = 5
c. x = 9
d. x = 27
c. x = 14
d. x = 24
44.
Solve
a. f = 0.28
45.
What is the value of m if
a. m = 2.1
46.
?
b. m = 5.83
What is the value of d if
a. d = 0.3
47.
.
Solve
a. a = 0.31
?
b. d = 3.33
.
b. a = 0.323
48.
Solve the following:
a. s = 2.4
b. s = 3.6
?
54.
Solve the following:
a. x = 4
b. x = 6
55.
a.
b.
c.
d.
.
.
Therese wants to start her solution to the equation shown by using multiplication. To do this, she should
multiply both sides by 2
multiply both sides by 4
multiply the left side by 4 and the right side by 5
multiply the left side by 8 and the right side by 2
56.
Brenda got a mark of 18 on her test. This mark was equal to 72%. How many marks was the test worth?
a. 24
b. 25
c. 30
d. 100
57.
Marc had 5 coupons for $2.50 off the regular admission price of a movie. He bought tickets for himself and 4
friends. He paid $42.25. The regular price for each ticket was
a. $8.45
b. $10.69
c. $10.95
d. $12.50
Chapter 9
58.
a.
Which number line can represent the statement, “Only children at least 5 years old may swim in the wave pool”?
c.
–10 –8 –6 –4 –2
0
2
4
6
8 10
b.
–10 –8 –6 –4 –2
0
2
4
6
8 10
–10 –8 –6 –4 –2
0
2
4
6
8 10
d.
–10 –8 –6 –4 –2
0
2
4
6
8 10
59.
a.
b.
Which inequality represents the statement, “The pilot was less than 1.9 m tall”?
c.
d.
60.
Which inequality is represented by the number line below?
–11 –10 –9
–8
–7
–6
–5
–4
–3
–2
–1
0
1
2
a.
b.
61.
11
x
8 10 12 14 16 18 20 22 24 26
x
4
5
6
7
8
9
Express the inequality algebraically.
a.
b.
0
2
4
6
c.
d.
The inequality statement that represents the number line shown below is
–9.5 –9 –8.5 –8 –7.5 –7 –6.5 –6 –5.5 –5 –4.5 –4 –3.5 –3 –2.5 –2 –1.5 –1 –0.5 0
a.
b.
63.
a.
b.
c.
d.
64.
10
c.
d.
–28 –26 –24 –22 –20 –18 –16 –14 –12 –10 –8 –6 –4 –2
62.
3
0.5
1
x
1.5
c.
d.
Determine a verbal representation of
.
All numbers greater than or equal to 3.4 but less than 8.2.
All numbers greater than or equal to 8.2 but less than 3.4.
All numbers less than or equal to 3.4 but greater than 8.2.
All numbers less than or equal to 8.2 but greater than 3.4.
Determine which number line represents the solution to
a.
.
c.
–8
–6
–4
–2
0
2
4
6
8
b.
–8
–6
–4
–2
0
2
4
6
8
–8
–6
–4
–2
0
2
4
6
8
d.
–8
–6
–4
–2
0
2
4
6
8
65.
A pizzeria has enough cheese to make a maximum of 132 pizzas a night. If 56 cheese pizzas are ordered, what is the
maximum number of pepperoni and cheese pizzas the pizzeria can make?
a.
c.
b.
d.
66.
a.
Which number line represents the solution to
c.
–5
–4
–3
–2
–1
0
1
2
3
4
5
b.
?
–5
–4
–3
–2
–1
0
1
2
3
4
5
–5
–4
–3
–2
–1
0
1
2
3
4
5
d.
–5
–4
–3
–2
–1
0
1
2
3
4
5
67.
The cost of a large cheese pizza is $12.25, plus $1.55 for each extra topping. Ellen has $20 to spend on pizza. How
many extra toppings can she afford?
a. 5
c. 8
b. 7
d. 13
Chapter 2
Short Answer
11.
Evaluate.
a) √1.44
b) √3.24
c) √0.04
d) √0.36
2.
Evaluate each expression. Write your answer in lowest terms.
1
1
2
1
a) 4 3 ∗ −3 4
b)
−1 5 + 2 6
c)
3
5
÷2
7
8
d) (2.3 – 5.7) x (9.9 ÷ 3)
Problem
3.
a)
Replace each
1
3
0.3
3
d) 2 4
4.
with >, <, or = to make each statement true.
− 2.75
Warren’s father mowed
b) . 50
e) −0.9
1
2
c) 1.27
14
17
of the lawn. Warren mowed
f) 0.454
1
14
0.445
of the lawn that was left by his father. Warren’s two
younger brothers finished mowing the rest of the lawn.
a) What is the fraction of the entire lawn that Warren mowed?
b) What fraction of the entire lawn did each of Warren’s brothers mow?.
5.
A rectangular swimming pool has a length that is four times its width. The pool covers an area of 144 m2. What are
the dimensions of the pool?
Chapter 3
Matching
Match the correct answer to the expression in each question. An answer may be used more than once or not at all.
a. 76
b. 43
c. 34
d. 140
e. 134
f. 9
____ 6.
____ 7.
36 ÷ 3 2
____ 8.
6 + (43  2)
____ 9.
____ 10.
Match the correct term to each of the following descriptions. A term may be used more than once or not at all.
a. base
b. exponent
c. exponential form
d. power
e. standard form
f. scientific notation
____ 11.
represents the number of times you multiply a number by itself
____ 12.
used to represent 2 222 as 24
____ 13.
refers to an expression such as 52 or 24
____ 14.
the number 5 in the expression 51
____ 15.
the number 2 in the expression 52
Short Answer
16.
Write each expression as a power.
a) 9  9  9  9
c) –1  –1  –1
b) 4  4  4  4  4
d) 6  6  6  6  6  6
17.
Evaluate each expression.
a) 64 as a power of 2
c) 1296 as a power of 6
b) 243 as a power of 3
d) 4096 as a power of 8
18.
Determine the area of a square with each side length below.
a) 7 cm
c) 420 mm
b) 13 m
d) 2.5 km
19.
Evaluate.
a) 4  (92 + 32  2)
c) (73 – 33)  4 – (72 + 30)
b) 54 – (83 – 25  3)
d) 10  (43 – 62) + 2  (82 –42)
Problem
20.
The number of insects in a colony triples every month. There are currently 100 insects in the colony. How many
insects will there be after one year?
21.
Kevin explained to Brad that
.
a) Was Kevin’s explanation correct or incorrect? Explain your thinking.
b) Evaluate
22.
.
A flower garden is shown below. What is the area of the garden?
Chapter 5
Completion
Complete each statement.
23.
Simplify the following by combining like terms.
24.
Subtract the following polynomials.
25.
Perform the indicated operations and simplify by combining like terms.
Problem
26.
A rectangle’s length is 15 cm greater than its width, w.
a) Draw the rectangle and label its dimensions.
b) Write and simplify an expression for its perimeter.
27.
The perimeter of the triangle below can be represented by the polynomial
What is the missing side length?
.
Chapter 7
Identify the letter of the term that is equivalent to the expression below. Each term may be used more than once or not at all.
a.
b.
c.
____ 28.
____ 29.
____ 30.
____ 31.
____ 32.
d.
e.
f.
x
Identify the letter of the term that is equivalent to the expression below. Each term may be used more than once or not at all.
a. 4x – 1
b.
c. 12x – 12
____ 33.
d. 36x2 – 12
e. 4x2 – x
(2x)(2x)
____ 34.
____ 35.
3x(12x – 4)
____ 36.
____ 37.
Short Answer
38.
Write a simplified expression for the perimeter of this figure. What is the perimeter of the figure?
Problem
39.
Write a simplified expression for the area of the triangle.
40.
The dimensions of the picture frame shown are10x by (10x + 4).
a) What is a simplified expression for the area of the picture and the
frame?
b) If the width of the frame is 2 cm, what is a simplified expression for
the area of the picture?
Chapter 8
Short Answer
41.
At a school dance, the student council sold cans of pop and bags of chips. The price of a can of pop is one and a half
times the price of a bag of chips. The pop sells for $0.90 and they sold $288.00 worth of pop. The number of bags of
chips sold is three quarters of the number of cans of pop sold. What was the income from the chips?
42.
Identify the errors in the following solution. Then, provide a correct solution.
Problem
43.
A local tour company is offering a weekend travel package special at 30% off the regular price. This is a savings of
$87.45. What is the regular price of the package?
44.
Winnipeg had 161 days of precipitation. That is 1.4 times the number of days that Calgary had precipitation. How
many days did Calgary have precipitation?
45.
Susan charges a flat rate of $20 per night of babysitting. She also charges an extra fee of $3 per hour for every hour
she works past 8 p.m. If Susan received $32 for a night of babysitting, how late did she work?
46.
A mobile phone plan charges $0.06 per minute for calls during the day and $0.02 per minute for calls during the
evening. If the bill for one month was $17.86, and 182 min of evening calls were made, how many daytime minutes
were used?
Chapter 9
Matching
Identify the letter of the term that best matches the description or definition below. A term may be used more than once or
not at all.
a. boundary point
b. closed circle
c. graphical solution
d. inequality
e. open circle
f. solution
____ 47.
a value or values that satisfy an inequality
____ 48.
shows the boundary point is included in the solution
____ 49.
a mathematical statement comparing expressions that may not be equal
____ 50.
shows the boundary point is not included in the solution
____ 51.
separates the values that are less than from the values that are greater than a specified value
Identify the letter of the inequality that best matches each number line shown. A solution may be used more than once or not
at all.
a.
b.
c.
____ 52.
____ 53.
____ 54.
____ 55.
____ 56.
d.
e.
f.
–5
–4
–3
–2
–1
0
1
2
3
4
5
x
–5
–4
–3
–2
–1
0
1
2
3
4
5
x
–5
–4
–3
–2
–1
0
1
2
3
4
5
x
–5
–4
–3
–2
–1
0
1
2
3
4
5
x
–5
–4
–3
–2
–1
0
1
2
3
4
5
x
57.
Solve the following inequalities. Graph your solution on a number line.
𝑥
−4
≥ −9
a) x – 7 ≥ 22
b)
c) 7x < 2x + 30
d) 3.4 – 1.3y < 0.5y – 2.2
e) 2(3x + 4) > 5(6x + 7)
f)
58.
3
𝑥
2
4
+ 6 ≤ 10 5
TELUS currently has two packages for cell phone text messaging
Option 1: $12.00 monthly fee plus $0.05 per text message
Option 2: $0.15 per text message with no monthly fee
What is the minimum number of text messages you would need to send to make Option 1 the
better option?