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WorksheetsReview: Topics 1-3
Total questions: 101
Worksheet time: 5hrs 9mins
Name
Class
Date
1.
Contestants in a dance-a-thon rest for the same amount of time every hour. A couple rest for 25 minutes in 5 hours. How long did they rest in 8 hours?
a)
40 minutes
b)
25 minutes
c)
200 minutes
2.
Find the Unit Rate.
405 rotations in 5 minutes
405 rotations in 5 minutes
a)
81 rotations per minute
b)
73 rotations per minute
c)
18 rotations per minute
d)
810 rotations in 10 minutes
3.
In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs. Write and solve a proportion to find the number c of cats.
a)
c=15
b)
c=18
c)
c=21
d)
c=16
4.
Josh bought a pizza with eight slices of pizza for $12. What is the cost of a slice of pizza?
a)
$12
b)
$1.50
c)
$3
d)
$1
5.
Madeline ran 21.7 miles in 7 hours. What is the unit rate?
a)
21.7 miles per hour
b)
3.1 miles per hour
c)
.32 miles per hour
d)
21.7
7
7
6.
Every 5 kilometers is 3.1 miles. You ran 20 kilometers. How many miles is this?
a)
12.4 miles
b)
8.8 miles
c)
7.2 miles
d)
3.5 miles
7.
For every 8 hours you work you make 500 pesos. How many pesos do you make for working 40 hours?
a)
8,000 pesos
b)
2,500 pesos
c)
4,500 pesos
d)
3,050 pesos
8.
You burn 3 liters of gas for every 200 kilometers you drive. How many liters do you burn after going 500 kilometers?
a)
5.5
b)
6.5
c)
7.5
d)
4
9.
A store sees 120 customers in 8 hours. What is the unit rate (in customers per hour)?
a)
16 customers per hour
b)
15 customers per hour
c)
12 customers per hour
d)
20 customers per hour
10.
Patrick has 2 black, 3 red, and 5 white toy cars. What is the ratio of red toy cars to all the toy cars?
a)
3:5
b)
1:3
c)
3:11
d)
3:10
11.
Jose swims 3 laps in a pool every 2 minutes. How long would it take him to swim 27 laps?
a)
8 minutes
b)
9 minutes
c)
16 minutes
d)
18 minutes
12.
a)
6.25
b)
16
c)
4
d)
3.6
13.
a)
10.8
b)
7.5
14.
Which ratio is written incorrectly?
a)
X : Y
b)
X and Y
c)
X/Y
d)
X to Y
15.
Solve for x
a)
x = 1/10
b)
x = 10
c)
x = 4
d)
x = 5
16.
Solve for x
a)
x = 16
b)
x = 28
c)
x = 1/26
d)
x = 26
17.
A car travels 420 miles in 8 hours. If the car continues at the same rate, how far will it travel in 12 hours?
a)
630 miles
b)
630 hours
c)
600 miles
d)
540 hours
18.
A 12-ounce bottle of shampoo lasts Enrique 16 weeks. How long would you expect an 18-ounce bottle of the same brand to last him?
a)
24 Weeks
b)
24-ounce bottle
c)
10.6 Weeks
d)
10.6-ounce bottle
19.
The waiting time to ride a roller coaster is 20 minutes when 150 people are in line. How long is the waiting time when 240 people are in line?
a)
32 People
b)
32 Min.
c)
12.5 Min.
d)
12.5 People
20.
Jeff ran 6 miles in 4 hours. At this rate, how many miles will he run in 6 hours?
a)
9 miles
b)
4 miles
c)
6 miles
d)
36 miles
21.
There are 4 milk chocolates to every 2 dark in a box of chocolates. There are 34 dark chocolates in the box. How many milk chocolates are in the box?
a)
68
b)
86
c)
17
d)
34
22.
To make plant fertilizer, you mix 12 ounces of Lime with every 10 ounces of water. If you use 80 ounces of water, how much lime do you need?
a)
96 ounces
b)
80 ounces
c)
1.5 ounces
d)
66.67 ounces
23.
Mr. Dulin runs 5 miles in 42 minutes. He plans to run in a 25 mile race. Based on his current speed, about how long will it take him to complete the race?
a)
210 minutes
b)
8.4 minutes
c)
1050 minutes
d)
200 minutes
24.
Last week, Ida bought 8 cartons of raspberries for $7. How many cartons of raspberries can Ida buy this week if she has $21?
a)
24 cartons
b)
2.67 cartons
c)
20 cartons
d)
19 cartons
25.
Aiden's cat weighs 12 pounds. How many ounces is that?
1 Pound = 16 ounces
1 Pound = 16 ounces
a)
72
b)
24
c)
182
d)
192
26.
There were 5 ice cream cones for every 3 brownies sold at the ice cream shop. If there were 24 brownies sold, how many ice cream cones were sold?
a)
8
b)
15
c)
40
d)
29
27.
A major league pitcher had 3 wins in 8 starts. He projects that he will get 24 more starts before the season ends. If he keeps up his present performance, how many total wins will he have for the
season?
season?
a)
9
b)
12
c)
11
d)
3
28.
You want to buy some beans. It costs $4.50 for a 9 ounce package. How much does each ounce cost?
a)
$50
b)
$0.50
c)
$0.52
d)
$0.25
29.
It snowed 14 inches in 5 hours. What is the unit rate of inches per hour?
a)
3 inches per hour
b)
1.5 inches per hour
c)
5 inches per hour
d)
2.8 inches per hour
30.
88 students for 4 classes
How many students per class?
How many students per class?
a)
22 students per class
b)
22 classes per student
c)
25 students per class
d)
25 classes per student
31.
What is the ratio of red apples to green apples
a)
7 apples to 3 green
b)
4 red apples to 7 apples
c)
4 red apples to 3 green apples
d)
3 green apples to 4 red apples
32.
Which is NOT equivalent to 3:5?
a)
15:25
b)
9:15
c)
21:28
d)
30:50
33.
Solve.
a)
54
b)
63
c)
81
d)
72
34.
Solve.
a)
5
b)
3
c)
15
d)
1
35.
Solve.
a)
6
b)
4
c)
8
d)
5
36.
7.5 cm = ____ mm
a)
7.50
b)
75
c)
0.75
d)
.75
37.
What is the reason that absolute value is always written as a positive?
a)
Absolute value is talking about numbers so it must be positive.
b)
Absolute value does not always have to be positive.
c)
Absolute value is like a clock it has only positive numbers.
d)
Absolute value is talking about distance, distance is always measured by positive numbers.
38.
Find the Absolute Value of -18
a)
18
b)
-18
c)
36
d)
-36
39.
the distance a number is from zero on a number line
a)
inequality
b)
absolute value
c)
negative number
d)
positive number
40.
a number less than zero
a)
positive number
b)
integer
c)
negative integer
d)
opposites
41.
Write an integer for each situation.
a profit of $12
a profit of $12
a)
120
b)
-120
c)
12
d)
1.2
42.
22°F below zero
a)
-22
b)
2
c)
-2
d)
22
43.
-10____-7
a)
<
b)
>
c)
=
44.
l-6l____6
a)
<
b)
>
c)
=
45.
$5 dollar discount
a)
Positive
b)
Negative
c)
Zero
46.
The mountain was 200 above sea level
a)
Positive
b)
Negative
c)
Zero
47.
Compare: -9 ? 8
a)
>
b)
<
c)
=
48.
Boston has a temperature of -20 degrees. It is colder in New York than in Boston. Select the value that could represent the temperature of New York
a)
0
b)
30
c)
-30
d)
-19
49.
What is the distance between -8 and its opposite?
a)
8
b)
-8
c)
16
d)
-16
50.
Which shows the integers in order from greatest to least?
a)
20,6,-2,-13
b)
-2,6,-13,20
c)
-13,-2,6,20
d)
20,-13,6,-2
51.
Is absolute value always positive?
a)
yes
b)
no
52.
Evaluate the expression.
| 9 |
| 9 |
a)
0.9
b)
9
c)
-9
d)
90
53.
Evaluate the expression.
| –3 |
| –3 |
a)
3
b)
-3
c)
0.30
d)
30
54.
The absolute value of |3| is -3.
a)
True
b)
False
55.
What is the absolute value of |-26|.
a)
26
b)
-26
c)
0
d)
-20
56.
Which of the following is the GREATEST?
a)
|-2|
b)
|-4|
c)
|3|
d)
|-5|
57.
Which of the following is the LEAST?
a)
|-2|
b)
|-4|
c)
|3|
d)
|-5|
58.
What is the absolute value of |572|?
a)
275
b)
-572
c)
57
d)
572
59.
Which expression has the greatest value?
a)
1
b)
|0|
c)
-1
d)
|-2|
60.
Compare these Integers using the symbols:
< > =
| -13 | ____ | 4 |
< > =
| -13 | ____ | 4 |
a)
<
b)
>
c)
=
61.
Which has the same absolute value as -55?
a)
0
b)
-1
c)
1
d)
55
62.
Compare|-5| to the |-10|
a)
|-5| > |-10|
b)
|-5| = |-10|
c)
|-5| < |-10|
63.
Which number is farthest from 0?
a)
-6
b)
-4
c)
3
d)
5
64.
Which answer has the integers in order from least to greatest?
a)
− 9, -5, -3, 0, 4, 3
b)
− 9, -5, -3, 0, 3, 4
c)
− 5, -9, -3, 0, 4, 3
d)
3, 4, 0, -3, -5, -9
65.
Express an integer: a plane descended 3000 ft
a)
3000
b)
300
c)
-300
d)
-3000
66.
Which of the following statements is true about |-5|?
a)
|-5| represents a negative number
b)
|-5| represents the distance from -5 to 0 on a number line
c)
|-5| represents the opposite of 5
d)
|-5| represents the negative distance from 5 to 0 on a number line
67.
Order from least to greatest:
[-2, 4, 23, -1, 5, -3, 6]
[-2, 4, 23, -1, 5, -3, 6]
a)
-3, -2, -1, 4, 5, 6, 23
b)
23, 5, -1, -3, -2, 4, 6
c)
-1, -2, -3, 4, 5, 6, 23
d)
4, 5, 6, 23, -1, -2, -3
68.
Order the numbers from least to greatest.
-2, I8I, 5, I-10I, 6
-2, I8I, 5, I-10I, 6
a)
-2, I8I, 5, I-10I, 6
b)
-2, 5, 6, I8I, I-10I
c)
-2, 5, 6, 8, 10
d)
I-10I, -2, 5, 6. I8I
69.
What is the constant of proportionality?
a)
$3
b)
No COP
c)
$2
d)
$9
70.
The constant of proportionality in the equation y = ½x is _______.
a)
x
b)
y
c)
1/2
d)
2
71.
In the equation y = 14x, what is the constant of proportionality?
a)
y
b)
x
c)
14
72.
What is the constant of proportionality of the table given
a)
k = 1
b)
k = 3
c)
k = 2
d)
There is not one.
73.
One of these tables represents a proportional relationship.
Table _____ represents a proportional relationship. The equation is ____ = ___ ___
a)
Table A, y = 1.6x
b)
Table A, y = 0.625x
c)
Table B, y = 1.5x
d)
Table B, y = 2/3x
74.
A recipe calls for 3/4 cup of brown sugar for every 3 eggs. What is the unit rate of eggs per cup?
a)
1 cup per egg
b)
2 cups per egg
c)
3 eggs per cup
d)
4 eggs per cup
75.
Write the equation for the table given
a)
y = 1/3x
b)
y = 3x
c)
y = 1/2x
76.
Is this table proportional?
a)
Yes
b)
No
77.
Write an equation for this relationship.
a)
y = 18x
b)
y = 18.50x
c)
y = 22.50x
d)
There is no COP.
78.
A student studies the same amount of time each day for a test. In 4 days, she studied 60 minutes. Which equation shows this relationship? Let x = the number of days.
a)
y = 4x
b)
y = 15x
c)
y = 60x
d)
y = 12x
79.
Is this table proportional?
a)
No
b)
Yes
80.
What is the constant of proportionality (in miles per hour) based on the table?
a)
45
b)
90
c)
135
d)
2
81.
What is the constant of Proportionality for this table?
a)
1/9
b)
9
c)
8
82.
What is the missing number in the ratio table?
a)
72
b)
85
c)
76
d)
90
83.
Which best describes the graph represented in this table?
a)
proportional
b)
non-proportional
84.
What is the constant of proportionality in the table?
a)
2
b)
8
c)
4
d)
6
85.
Does the table represent a proportional relationship?
a)
Yes.
b)
No.
86.
Does the table represent a proportional relationship?
a)
Yes.
b)
No.
87.
Using the table above, determine which statement is correct.
a)
The table is proportional and the unit rate is 100.
b)
The table is not proportional because the unit rate is not constant.
c)
The table is not proportional because it doesn't pass through the origin.
d)
The table is proportional and the unit rate is 0.01.
88.
Determine if the table above is proportional and how do you know?
a)
The table is proportional because the unit rate is a constant 0.33.
b)
The table is proportional because it passes through the origin.
c)
The table is proportional because the unit rate is a constant 0.28
d)
The table is not proportional because the unit rate is not constant.
89.
How many tbsp of honey is needed for 20 cups of flour?
a)
2
b)
18
c)
25
d)
16
90.
The constant of proportionality can be found by finding the __________ _____________.
a)
unit rate
b)
ratio rate
c)
proportion answer
d)
rational number
91.
How do you find k?
a)
x/y
b)
y/x
c)
y=kx
d)
x ⋅ y
92.
Write an equation for this relationship.
a)
y = 18x
b)
y = 18.50x
c)
y = 22.50x
d)
y = 22x
93.
What is the equation for a proportional relationship?
a)
y=kx
b)
y=k/x
c)
z=ykx
d)
y=ky
94.
In the equation y = 14x, what is the constant of proportionality?
a)
y
b)
x
c)
14
95.
If the constant of proportionality is 10, which of the following is the correct proportional equation?
a)
10=kx
b)
10=k
c)
y=10k
d)
y=10x
96.
The equation y=5x describes a proportional relationship between x and y. What is the constant of proportionality?
a)
6
b)
4
c)
7
d)
5
97.
What does k represent in the equation y = kx?
a)
constant rate of change
b)
constant of proportionality
c)
the equation
d)
x/y
98.
Identify the constant of proportionality.
a)
k = 2
b)
k = 4
c)
k = 1/2
d)
k = 1/4
e)
none (not proportional)
99.
Which equation helps you solve for k?
a)
k = x/y
b)
k = y/x
c)
k = y + x
d)
k = 2x
100.
Which equation is NOT proportional?
a)
y = 2x - 3
b)
y = 150x
c)
y = 1/2x
101.
Identify the constant of proportionality.
a)
k = 1/0.45
b)
k = 0.45
c)
k = -0.45
d)
k = -1/0.45
e)
none (not proportional)
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