Quarterly Review

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Name: _______________________
Review!! 1st Quarter Exam Practice
1
2
Jarvis rode his bike 4.2 miles in 0.25 hours.
What was his average speed in mi/h?
A 1.05 mi/h
C 8.4 mi/h
B 16.8 mi/h
D 10.5 mi/h
During a recent football game, Aaron
Rodgers completed 12 out of his first 15
passes. How many passes can he expect to
complete if he throws 40 passes in the entire
game?
A 20
C 32
B
3
4
5
6
4
1
4 +9 =
9
2
17
A 13
18
1
B 14
18
8
D
C
D
4
15
5
11
8
13
9
C
1
D
1
B About 4 gallons D About 6 gallons
Which two ratios are proportional?
12
16
30
36
and
and
A
C
27
40
45
54
15
20
and
36
35
D
11
12
A
b 12

30 40
C
12 40

b 30
B
b 40

12 30
D
30 b

12 40
The number of words Bella types is proportional
to the number of minutes she is typing. In 3
minutes she types 126 words. What is the
constant of proportionality?
A
k = 42
C
k = 129
B
k = 123
D
k = 378
Nick’s football team is competing in a
tournament. They have won 12 out of 20 games.
What is their ratio of wins to losses?
A
3:5
C
2:3
B
3:2
D
5:3
Kristen is making smoothies. The ratio of yogurt
to juice is 3 to 4. If Kristen has 16 cups of juice,
how many cups of yogurt does she need?
A
B
13
27
20
and
45
34
Review
1 Quarter Exam
st
Of the 30 girls who tried out for the lacrosse team
at Euclid Middle School, 12 were selected.
Which proportion can be used to find b, the
number of boys that would be selected at the same
rate if 40 boys tried out?
12 cups
15 cups
C
D
16 cups
48 cups
Which of the following graphs represents a
proportional relationship?
A
C
B
D
2
3
Alex has 9.1 gallons of gas left in the tank of
her car. Her car gets 15 miles to the gallon on
the highway. She wants to travel to the
beach, which is 75 miles of highway driving.
About how many gallons of gas will Alex
have left after she reaches the beach? (only
considering the highway driving)
A About 3 gallon
C About 5 gallons
B
10
13
Find the product of 18.3 and .35
A 52.29
C 5.229
B 6.405
D 64.05
3
6
÷
=
7 14
9
A
49
9
28
Find the product of 19.2 and 6.3
A 120.96
C 219.6
B 1209.6
D 21.96
B
7
30
Date: _______
Class: Pre-Algebra
The relationship between the length of one
14 side of a square, x, and the perimeter of the
19
Tell whether the graph represents a proportional
relationship. If so, write the equation.
square, y, can be represented in an xy-plane
by a straight line. Which of the points with
coordinates (x, y) lie on the line?
A (1, 3)
C (12, 3)
B
(3, 12)
D
(3, 1)
Alexa bought 22 bags of fruit that each
15 weighed 4.27 pounds. Estimate the total
weight of all the bags Alexa bought.
A 50 lb
C 100 lb
B 75 lb
D 125 lb
16
Which of the following tables represents a
proportional relationship between x and y?
A
B
C
D
x
2
4
5
6
y
4
2
6
5
x
5
6
7
8
y
-8
-7
-6
-5
x
1
2
3
4
y
4
8
12
16
x
2
3
4
5
y
6
9
13
15
20
18
A
C
B
y  3x
D
3x  3 y  0
To make lemonade, 2 cups of lemon juice are
mixed with 7 cups of water. Describe and correct
the error in the proportion used to find the number
of cups of lemon juice j to mix with 28 cups of
water.
2 28
=
7
𝑗
B
Not proportional
C
proportional; 𝑦 = 6𝑥
D
proportional; 𝑦 = 6𝑥 + 6
Tell whether the data set shows a proportional
relationship. If so, identify the constant of
proportionality.
Cost
$12
$20
$24
$32
$60
A
Not proportional
C
Proportional;
k=9
B
Proportional;
D
Proportional;
k=4
1
k=
4
21
Which equation represents a proportional
x
y
3
proportional; 𝑥 = 6𝑦
Number of
Baskets
3
5
6
8
15
3
4
Jane lives 5 miles from school. On the way to
school one morning Jane’s mom ran out of gas
17 relationship?
3
y
x
A
after traveling 4
2
miles. If she decides to walk
3
the rest of the way, how far will Jane need to
walk?
22
1
2
Fred studied for his math test for 3 hours. His
friend Sam studied for 1
3
hours. How much
4
longer did Fred study than Sam?
Name: _______________________
Review!! 1st Quarter Exam Practice
Date: _______
Class: Pre-Algebra
Review
1 Quarter Exam
st
SHORT AND EXTENDED RESPONSE – You must show all work where appropriate for full credit. A correct response
with insufficient work will only receive 1 credit.
23
A recipe calls for
1
5
stick of butter for every
4
8
25
The line graphed below represents the total
distance traveled by a tree sloth over time.
cup of milk added. What is the unit rate of sticks
of butter to cups of milk, as a fraction in simplest
form?
Show all work.
Answer ________________ PART A
Based on this graph, which of the following statements is
Shelia mixed 3 ounces of blue paint with 2
true?
24 ounces of red paint. She decided to create 20
A The tree sloth traveled 28 feet in 5 minutes.
ounces of the same mixture. If the relationship is
proportional, how many ounces of red paint does
B The tree sloth traveled 20 feet in 4 minutes.
Shelia need for the new mixture?
Show all work.
C The tree sloth traveled 4 feet in 1 minute.
D
The tree sloth traveled 18 feet in 3 minutes.
PART B
What number represents the constant of proportionality for
the line?
Answer ____________
PART C
What ordered pair represents the unit rate?
Answer ____________
Answer ___________ounces of red paint
26
Mary ran the 5-kilometer race in 45 minutes
while Melanie ran the 2-kilometer race in 17
minutes.
Part A – What was Mary’s speed in kilometers per
minute? Round to nearest thousandth of a km.
Answer: __________ kilometers per minute
Part B – What was Melanie’s speed in kilometers per
minute? Round to nearest thousandth of a km.
28
Pamela drove at a steady speed during a road trip.
She recorded the amount of time she drove and the
distance she covered as shown in the table below.
Time (t) (in hours)
1
2
4
6
Distance (d) in miles
60
120
240
360
PART A
Plot these points on the graph below and connect them with
a straight line.
Answer: __________ kilometers per minute
Part C – How many minutes did it take Mary to travel 1
km?
Answer: _________ minutes
Part D – How many minutes did it take Melanie to travel
1 km?
Answer: ___________________ PART B
What are the coordinates of the point on the line where
Part E – Who is the faster runner? Justify your response. t  5 ?
Coordinates ____________
27
Brian has started to collect minion figurines. He
has bought 4 minion figurines for $38.
PART A
Assuming cost is proportional to the number of minion
figurines, write an equation relating the cost, c, to the
number of minion figurines, m.
Equation ________________________
PART C
What do the coordinates of the point you found in part B
specifically tell you about Pamela’s progress at that point in
the trip?
29
Andrew types 12.5 words per minute. What
ordered pair on a graph of his typing rate would
represent the number of minutes it would take him
to type 100 words?
Show all work.
PART B
Brian has saved $114 to spend on his minion figurine
obsession. How many minion figurines can he purchase?
Show all work.
Answer (______,______)
Answer __________figurines
30
A crew of highway workers paved
7
2
mile in
15
3
33
The line graphed below represents the cost of
movie tickets at a local cinema.
hour. If they work at the same rate, what portion
of a mile will they pave in one hour?
Show all work.
Answer ________________
31
For every person who has the flu, there are 6
people who have only flu-like symptoms. If a
doctor sees 56 patients, determine how many
patients only have flu-like symptoms.
PART A
Based on this graph, which of the following statements is
true?
A
It costs $20 for 2 movie tickets.
B
It costs $90 for 16 movie tickets.
C
It costs $50 for 10 movie tickets.
D
It costs $30 for 3 movie tickets.
Show all work.
PART B
What number represents the constant of proportionality for
the line?
Answer ____________
Answer ___________ patients PART C
What ordered pair represents the unit rate?
Jonathan reads 2.5 magazines per day. What
32 ordered pair on a graph of his reading rate would
represent the number of days it would take him
to read 30 magazines?
Show all work.
Answer ____________
Answer (______,_____)
34
The cost of apples in a grocery store is directly
proportional to the number of apples purchased.
Michelle paid $2.52 for 6 apples.
PART A
If c represents the cost, in dollars, and n represents the
number of apples purchased, write an equation that best
represents this relationship.
Equation ________________________
PART B
Michelle wants to make apple cider. If Michelle has
$16.80, how many apples could she purchase?
Show all work.
No calculator allowed for the following questions
36
PART A:
x 9

3 10
PART C:
40 5

x
2
PART B:
2 10

5 p
PART D:
7
n

3 21
Answer ____________ apples
35
The cost of 3-D movie tickets is shown in the table
below.
Number of Tickets (x)
1
2
3
5
Cost in dollars (y)
6
12
18
30
Solve each proportion
Write each fraction as a decimal and state
37 whether it is terminating or repeating.
PART A:
1
3
PART C:
7
8
PART B:
6
20
PART D:
3
11
PART A
Plot these points on the graph below and connect them with
a straight line.
38
A person who is 4 feet tall stands next to a
telephone pole. The person casts a shadow that
is 3 feet long, and the telephone casts a shadow
that is 18 feet long. How tall is the telephone
pole?
PART B
What are the coordinates of the point on the line where
x  4?
Coordinates __________
PART C
Explain on the lines below what the coordinates of the point
you found in part B specifically mean in the context of the
problem.
39
Nicole is 5 feet tall and has an 8-foot shadow.
Julie is standing next to Nicole and has a 10-foot
shadow. How tall is Julie?
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