Name: ____________________________________
MIDTERM EXAM: Review Materials
Find the quotient of 0  3
1
2
A 0
B Undefined
Evaluate 
C 3
D 1
2
1
5  
5
2
1
5
4
B 1
5
A
3
4
2
2
1
5
C
B 0.82
D 1.2
Find the quotient:  8

Evaluate: 
0.83
1 5

3 9
C
 15
D 1
7
27
2 3 1 2
  
7 8 4 7
23
28
25
B
56
A
7
D
A 0.56
1
15
17
B 4
27
6
1
Which of the following is the decimal equivalent of
A
5
C

C

D
5
8
1
8
What is the value of the expression below?
2 
1
  4 
3 
3
4
A 1
9
2
B 4
9
C
5
D
2
8
9
What is the value of the expression below?

6  1
 
11  6 
1
11
7
B
17
A

C 11
D
1
11
5
?
6
Date: ____________
PreAlgebra
Scrap Work/ Notes
[# your work so you can study]
8
Find the opposite of -5.
A -5
B
9
5
C
0
D

Scrap Work/ Notes
[# your work so you can study]
1
5
Which best describes opposite quantities combining to zero?
A Steven spends 10 hours at community service for $0 an hour
and makes $0.
B Joey has to make up 10 assignments but has completed 0
giving him a score of
-10.
The temperature of a liquid is 10 degrees below zero. We
raise the temperature 10 degrees to get a final temperature of
0 degrees.
D Haley is 10 feet under water with some fish. She decides to
stay there so is now at -10 feet.
A geologist finds a layer of shale 2 ¾ feet below ground level,
C
10
represented by the number -2 ¾, and a layer of limestone 4
ground level, represented by the number  4
1
feet below
8
1
. What is the distance
8
between these two layers?
A
B
11
12
D
5
feet
8
7
6 feet
8
2
A
 12  (5)
C
 12  (5)
B
 12  5
D
12  5
Which of the following expressions is represented by the number line
below?
B
43
47
How many
1
C
D
3  (7)
0  ( 7 )
5
-foot pieces of wood can you cut from a board that is
16
9
feet long?
16
1
piece of wood
5
C
125
pieces of wood
256
B 5 pieces of wood
D
3 pieces of wood
A
14
C
Which of the following expressions represents the distance between -12
and -5 on a number line?
A
13
3
1 feet
8
5
1 feet
8
Marlin bought 4 ham sandwiches and 2 bags of chips for $22.50. If the
chips cost $0.75 per bag, how much did each sandwich cost?
A $5.25
C $21.00
B
$5.44
D
$24.00
15
The table below shows prices for admission and snacks at the movie
theatre.
Movie Theater Prices
Admission: $9.50
Small Popcorn: $3.50
Large Popcorn: $5.50
Small Soda: $2.00
Large Soda: $4.00
Nachos $3.50
Bridget paid for her admission, bought a large popcorn and nachos to
share with friends and a small soda for herself. She used a coupon for
1
off the snacks. What was her total cost before tax was added?
2
16
17
A $5.50
C $15.00
B $10.25
D $20.50
The 7th graders at Carey had a school dance. They sold 75 tickets for a
total of $375. The expenses of the dance were $150. What were the
results of the 7th grade dance?
A They made $5 per ticket sold.
B They lost $3 per ticket sold.
C They made a total of $225.
D They lost a total of $150.
Nick and Christian earn $100 shoveling snow for neighbors. Christian’s
share was
3
of the earnings. If Christian wants to buy video games on
5
sale for $12 each, how many video games can he buy?
A 3
C 8
B
18
5
D
12
Andrea earns $12.40 per hour working at a camp. On Thursday, she
spent 2
1
1
4
hours at the pool, 1 hours creating artwork, and 4 hours
3
6
5
playing sports with the children. What were Andrea’s earnings on
Thursday?
19
20
A
$16.12
C
$80.60
B
$51.25
D
$102.92
Manuel just bought a new television for $629.00. He made a down
payment of $57.00 and will pay monthly payments of $26.00 until it is
paid off. How many months will Manuel be paying? (Assume that
Manuel pays no interest.)
A
21 months
C
25 months
B
22 months
D
27 months
An item costs n dollars. If the price of the item increases by 35%, the
new price can be represented by the expression n + 0.35n. Which
expression can also represent the new price?
A 1.35
C 0.35n
B 1.35n
D 35n
Scrap Work/ Notes
[# your work so you can study]
21
22
Christian paid a plumber y dollars per hour for a 3-hour job plus $60 for
parts. The total charge was $480. Which equation can be used to
determine how much the plumber charged per hour?
A
3 y  480  60
C
3 y  480  60
B
(60  3) y  480
D
(60  3) y  480
Which steps can be used to solve for the value of n?
1
(n  2)  10
5
A
B
C
D
23
Which expression is equivalent to
2 x  3( x  5) ?
A
B
24
25
26
27
28
1
from both sides, then subtract 2 from both sides.
5
1
Subtract 2 from both sides, then divide both sides by .
5
1
Multiply both sides by , then subtract 2 from both sides.
5
1
Divide both sides by , then subtract 2 from both sides.
5
Subtract
5x  15
2 x  15
C
D
5x  15
5x  5
Find the difference. (9 p  15)  ( 2 p  3)
A
7 p  12
C 11 p  12
B
7 p  18
D 11 p  18
Simplify:
8x  5  10x  7
A
2(-x – 6)
C
7(x + 1)
B
2(-x + 1)
D
6(3x – 2)
Which expression represents the sum of (2 x  6 y ) and (9 x  10 y ) ?
A
 11x  4 y
C
3 xy
B
 2x  5 y
D
7x  4 y
Which of the following expressions cannot be factored?
A
C 15x  10
6  3x
B
D
7x  3
30x  40
The expression below was simplified using two properties of operations.
5(4 x  3  2 x)
Step 1 5(4 x  2 x  3)
Step 2 5(6 x  3)
Step 3 30 x  15
Which properties were applied in steps 1 and 3, respectively?
A commutative property, then distributive property
B
commutative property, then identity property
C
associative property, then distributive property
D
associative property, then commutative property
Scrap Work/ Notes
[# your work so you can study]
29
If Patrick needs to travel 3,000 miles and travelled at a rate of 50 miles
per hour, how long would it take Patrick to arrive at his destination?
A 30 hours
C 100 hours
B
30
D
150 hours
Jerome went on a hike. He climbed three-fourths of a mile in 40 minutes.
What was his hiking speed in miles per hour?
A
B
31
60 hours
mile per hour
miles per hour
C
mile per hour
D
miles per hour
Weights of different materials were taken for three lengths:
6 inches, 12 inches, and 18 inches.
Material 1
15
30
60
Material 2
13
26
39
Material 3
31
62
93
Material 4
14
28
42
Which of the materials’ weights does NOT have a proportional
relationship with length?
32
33
A
Material 1
C
Material 3
B
Material 2
D
Material 4
The relationship between the number of video games bought, x, and the
total cost, in dollars, y, is represented by a graph drawn in a xy-plane.
Points (1, 5) and (4, 20) lie on the graph.
What does the ordered pair (4, 20) indicate?
A
20 video games that cost $4 each
B
20 video games that cost a total of $4
C
4 video games that cost $20 each
D 4 video games that cost a total of $20
The distance Charlie and Samora travel after 1, 2, and 3 hours of jogging
is shown. Which exercise routine represents a proportional relationship
between time and distance?
A
Charlie
C
Both
B
Samora
D
Neither
Scrap Work/ Notes
[# your work so you can study]
34
The relationship between the length of one side of an equilateral triangle,
x, and the perimeter of the triangle, y, can be represented in a xy-plane by
a straight line. Which of the points with coordinates (x, y) does NOT lie
on this line?
A (1, 3)
C (5, 15)
B
35
36
$15
C
$5
B
$25
D
$10
The table shows that the cost is directly proportional to the number of
baskets used.
Number of
Cost ($)
Baskets
3
$12
5
$20
6
$24
8
$32
15
$60
What is the constant of proportionality for this relationship?
A 0.25
C 4
2
D
8
The amount Sara charges for babysitting is proportional to the number of
hours she works. For 4.5 hours, she charged $54. What is the constant
of proportionality?
A 12
C 58.5
49.5
D
243
Bananas are on sale 5 for $3.50 this week at Trader Joe’s. If you wanted
to only buy 2, how much would it cost?
A $0.70
C $3.50
B
39
(12, 4)
A
B
38
D
The total cost of renting a tractor from Farmers Inc. is represented by the
function c = 15n, where n represents the number of days and c represents
the total cost. The cost of renting a lawnmower from the same company
is shown in the table. How much more does the lawnmower cost per day
than the tractor?
Lawnmower
Days
Cost ($)
4
100
6
150
8
200
10
250
B
37
(3, 9)
$1.40
D
$7.00
The drawing below represents a rectangular sandbox. In the scale
drawing, one foot equals 15 yards. [Not drawn to scale.]
What is the actual area of the sandbox?
A 10 sq yd
C 195 sq yd
B 150 sq yd
D 2,250 sq yd
Scrap Work/ Notes
[# your work so you can study]
40
Scrap Work/ Notes
[# your work so you can study]
The scale drawing below represents the side of a ramp. In the scale
drawing, one inch equals two feet. [Not drawn to scale.]
What is the actual perimeter, in feet, of the side of the ramp?
A
B
41
29 feet
35 feet
C
D
58 feet
70 feet
Rewrite in simplest form.
3(6a  4b)  2a  4(b  2a)
43
A scientist is mixing a chemical solution for an
experiment. The solution contains
chemical for every
3
ounce of a
8
1
ounce saline solution.
6
Part A: What is the unit rate of chemical to saline
solution?
Show your work.
Simplified Form____________
Write the simplified expression in factored form.
Factored Form____________
42
A Great Dane weighed 65
1
pounds. Over the next
2
1
6 months, he grew to weigh 75 pounds. What was
2
Unit Rate________ oz of chemicals per oz of saline solution
Part B: How many ounces of chemical solution would
be needed if 16 ounces of saline solution are used?
Show your work.
the average monthly weight gain of the dog, to the
nearest tenth of a pound?
Show your work.
Answer____________ounces
Answer ____________pounds per month
44
The table below shows the price for the number of roses
indicated.
ROSE PRICES
Number Of Roses
Price (dollars)
3
9
6
18
9
27
12
36
15
45
45
From noon to 5 p.m., the temperature dropped 1.5°C
each hour. If the temperature at noon was 12°C, what
was the temperature at 5 p.m.?
Show your work.
PART A If C= kN, where C is the cost of N roses and k
is the constant of proportionality, what is the value of k?
Answer____________
PART B A couple bought 300 roses for a wedding.
What was the total cost?
Answer $ __________
46
Answer ____________°C
An elementary school is having a fundraiser by selling used books. Chris volunteered to help. His task was to place price
labels on each of the 224 books brought to the fundraiser. In 3 minutes, Chris labeled 14 books. At this rate, what was the
total number of minutes Chris needs to label all 224 books?
Show your work.
Answer __________minutes
All 224 books Chris labeled were priced at $1.45 per book. By 5:00pm, all but 96 of those books had been sold. What was the
total amount of money collected from selling the used books at the fundraiser?
Show your work.
Answer $ _______________