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WorksheetsM-STEP 7th Grade Math Prep
Total questions: 55
Worksheet time: 3hrs 45mins
Name
Class
Date
1.
Select the expression equivalent to
(4x + 3) + (–2x + 4)
(4x + 3) + (–2x + 4)
a)
–2x + 12
b)
–8x + 12
c)
6x + 7
d)
2x + 7
2.
The figure shown is created by joining two rectangles.
What is the area of the figure?
What is the area of the figure?
a)
250 in2
b)
1125 in2
c)
1375 in2
3.
The graph shows Parker's distance from home over time. Based on the graph, determine whether the following statement is True or False:
Parker's distance from home is increasing between minute 1 and minute 4.
Parker's distance from home is increasing between minute 1 and minute 4.
a)
True
b)
False
4.
The graph shows Parker's distance from home over time. Based on the graph, determine whether the following statement is True or False:
Parker's distance from home is constant between minute 6 and minute 7.
Parker's distance from home is constant between minute 6 and minute 7.
a)
True
b)
False
5.
The graph shows Parker's distance from home over time. Based on the graph, determine whether the following statement is True or False:
Parker's distance from home is increasing between minute 12 and minute 14.
Parker's distance from home is increasing between minute 12 and minute 14.
a)
True
b)
False
6.
Which equation has n = 6 as a solution?
a)
2 + n = 6
b)
n + 6 = 12
c)
4 ⋅ n = 16
d)
n ⋅ 3 = 2
7.
The table shows the relationship between the amounts of ginger ale and fruit juice needed to make punch. What is the value missing to complete the table?
a)
1
b)
1.5
c)
2
d)
2.5
8.
A principal wants to know if students at a Otsego High School are in favor of a new dress code. The principal is not able to ask the opinion of every student at the school, so he needs to select an appropriate sample of students to represent OHS. Select which sample of students the principal should choose.
a)
Students randomly selected from a list of all students at OHS.
b)
Students sitting at randomly selected tables in the library.
c)
Students he selects from the hallway between classes.
d)
Students selected by the teachers.
9.
What is 5(13.5 - 4.5)?
a)
9
b)
45
c)
–1
10.
The number line shows record low temperatures for four states.
Enter the difference between the record low temperatures in Hawaii and South Dakota.
Enter the difference between the record low temperatures in Hawaii and South Dakota.
a)
46 degrees
b)
–70 degrees
c)
70 degrees
d)
–46 degrees
11.
Select the expression that is equivalent to:
a)
9x + 8.1
b)
8.45 – 11.25x
c)
–1.75 – 7.25x + 6.1
d)
–11.25x + 12.2 – 3.75
12.
Enter the decimal equivalent of:
a)
1.38
b)
0.73
c)
1 3/8
13.
What is the value of c when the expression
21.2x + c is equivalent to 5.3(4x – 2.6)?
21.2x + c is equivalent to 5.3(4x – 2.6)?
a)
13.78
b)
–13.78
14.
Jenny has $25 and she earns $10 for each lawn that she mows. Jenny wants to buy a concert ticket that costs $65.
What is the minimum number of lawns Jenny needs to mow to be able to buy the concert ticket?
What is the minimum number of lawns Jenny needs to mow to be able to buy the concert ticket?
a)
1
b)
2
c)
3
d)
4
15.
The table shows a proportional relationship between the grams of peanuts and raisins in a bag of trail mix.
What are the number of grams of peanuts in a bag for every 1 gram of raisins?
What are the number of grams of peanuts in a bag for every 1 gram of raisins?
a)
0
b)
1
c)
3.5
d)
7
16.
A bag contains 16 marbles. There are 5 blue, 9 yellow, and 2 red marbles. One marble is selected at random. Determine if the following statement is True or False:
It is impossible that a green marble will be selected.
It is impossible that a green marble will be selected.
a)
True
b)
False
17.
A bag contains 16 marbles. There are 5 blue, 9 yellow, and 2 red marbles. One marble is selected at random. Determine if the following statement is True or False:
It is unlikely that a yellow marble will be selected.
It is unlikely that a yellow marble will be selected.
a)
True
b)
False
18.
A bag contains 16 marbles. There are 5 blue, 9 yellow, and 2 red marbles. One marble is selected at random. Determine if the following statement is True or False:
It is certain that a blue marble will be selected.
It is certain that a blue marble will be selected.
a)
False
b)
True
19.
A bag contains 16 marbles. There are 5 blue, 9 yellow, and 2 red marbles. One marble is selected at random. Determine if the following statement is True or False:
It is unlikely that a red marble will be selected.
It is unlikely that a red marble will be selected.
a)
True
b)
False
20.
David goes into a candy store with $5.00. He buys 9 peppermints for $0.15 each, and some sour candies. Each sour candy costs $0.25.
What is the maximum number of sour candies David can buy?
What is the maximum number of sour candies David can buy?
a)
10
b)
12
c)
14
d)
15
21.
Sara buys a sweater at a department store. The sweater costs $30. The store is having a 25% off sale on everything in the store.
How much did Sara save on her purchase (do not worry about the sales tax)?
How much did Sara save on her purchase (do not worry about the sales tax)?
a)
1
b)
2
22.
Figure A is a scale image of Figure B, as shown. The scale that maps Figure A onto Figure B is 1:7¼
What is the value of x?
What is the value of x?
a)
21.75
b)
10.88
c)
32.63
23.
Lisa wrote the expression (3 + 6x) – 2(x + 1) + 5. She simplified the expression using the steps in the picture.
In which step did Lisa first make a mistake?
In which step did Lisa first make a mistake?
a)
Step 1
b)
Step 2
c)
Step 3
24.
This graph shows the proportional relationship between the number of hours a factory is in operation and the number of gallons of water used. Is the following statement True or False:
The factory uses 4 gallons of water when it is in operation for 4000 hours.
The factory uses 4 gallons of water when it is in operation for 4000 hours.
a)
True
b)
False
25.
This graph shows the proportional relationship between the number of hours a factory is in operation and the number of gallons of water used. Is the following statement True or False:
Point W represents the number of gallons of water used when the factory is in operation for 7 hours.
Point W represents the number of gallons of water used when the factory is in operation for 7 hours.
a)
True
b)
False
26.
This graph shows the proportional relationship between the number of hours a factory is in operation and the number of gallons of water used. Is the following statement True or False:
The factory uses 9000 gallons of water when it is in operation for 9 hours.
The factory uses 9000 gallons of water when it is in operation for 9 hours.
a)
True
b)
False
27.
Alfonso went to Famous Sam's Appliance Store and purchased a refrigerator and a stove. The sales price of the refrigerator was 40% off the original price and the sale price of the stove was 20% off the original prices.
Which statement must be true to conclude that Alfonso received a 30% overall discount on the refrigerator and the stove together?
Which statement must be true to conclude that Alfonso received a 30% overall discount on the refrigerator and the stove together?
a)
The sale prices of the refrigerator and the stove were the same.
b)
The original prices of the refrigerator and the stove were the same.
c)
The sale price of the refrigerator was twice the sale price of the stove.
d)
The original price of the refrigerator was twice the original price of the stove.
28.
The circumference of a circle is approximately 37.7 centimeters. What is the radius of the circle?
a)
18.85 cm
b)
6 cm
c)
75.4 cm
29.
A company makes two sizes of boxes shaped like rectangular prisms. The large box is 16 inches tall, 10 inches wide, and 10 inches long. The diagram shows the dimensions of the small box.
What is the maximum number of small boxes that can fit inside the large box?
What is the maximum number of small boxes that can fit inside the large box?
a)
100
b)
80
c)
120
30.
A company makes two sizes of boxes shaped like rectangular prisms. The large box is 16 inches tall, 10 inches wide, and 10 inches long. The diagram shows the dimensions of the small box. The company plans to increase the width and length of the large box by 4 inches each to create a new larger box.
How many small boxes will fit inside this new larger box?
How many small boxes will fit inside this new larger box?
a)
196
b)
168
c)
200
31.
Lenny bought a motorcycle. He paid 12.5% in tax. The tax added $1437.50 to the price of the motorcycle.
What was the price of the motorcycle before the sales tax?
What was the price of the motorcycle before the sales tax?
a)
$11,500
b)
$10,500
c)
$179.69
d)
$17,969.99
32.
Johnny uses a wheelbarrow to move planting soil to a delivery truck. The volume of planting soil that fits in the wheelbarrow measures 2 feet by 3 feet by 1.5 feet. The delivery truck measures 11 feet by 8 feet and is 6 feet tall. Johnny puts planting soil in the delivery truck until the truck is 70% full.
What is the minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is 70% full?
What is the minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is 70% full?
a)
40
b)
41
c)
42
d)
43
33.
The graph shows a proportional relationship between the number of gallons of gasoline used (g) and the total cost of gasoline (c). What is the constant of proportionality (r)?
a)
$3.33 per gallon
b)
$0.30 per gallon
34.
When playing basketball, Jan makes 4 out of every 10 shots she takes. Which statement describes Jan's situation?
a)
The ratio of the number of shots Jan makes to the number of shots she takes is 2:5
b)
The ratio of the number of shots Jan makes to the number of shots she takes is 2:3
c)
The ratio of the number of shots Jan makes to the number of shots she takes is 1:4
35.
Marcus has a pool that can hold a maximum of 4500 gallons of water. The pool already contains 1500 gallons of water. Marcus begins to add more water at a rate of 30 gallons per minute.
Which inequality shows the number of minutes, m, Marcus can continue to add water to the pool without exceeding the maximum number of gallons.
Which inequality shows the number of minutes, m, Marcus can continue to add water to the pool without exceeding the maximum number of gallons.
a)
4500 ≥ 1500 + 30m
b)
4500 ≤ 1500 + 30m
c)
4500 > 1500 + 30m
d)
4500 < 1500 + 30m
36.
a)
A
b)
B
c)
C
d)
D
37.
Enter the value of
3/4 + 7/12 − (−4).
3/4 + 7/12 − (−4).
a)
64/12
b)
52/12
c)
62/12
d)
48/12
38.
Mark buys a wooden board that is 7 ½ feet long. The cost of the wooden board is $0.50 per foot, including tax.
Enter the total cost in dollars of the wooden board.
Enter the total cost in dollars of the wooden board.
a)
$3.75
b)
$3.50
c)
$4.00
d)
$4.25
39.
Enter the value of the expression.
2.3 (4 + 12)
2.3 (4 + 12)
a)
36.8
b)
37.8
c)
35.8
d)
38.8
40.
Enter the value of p so the expression
5/6 – 1/3n
is equivalent to
p(5 – 2n).
5/6 – 1/3n
is equivalent to
p(5 – 2n).
a)
1/6
b)
1/5
c)
1/4
d)
1/7
41.
A representative sample of 50 students from a high school is surveyed. Each student is asked what science class he or she is taking. The table shows the responses.
Select the statement that is valid based on the survey results.
Select the statement that is valid based on the survey results.
a)
About 20% of students at the high school are taking Chemistry.
b)
About half as many students are taking Health Science than are taking Physics.
c)
About half as many students are taking Health Science than are taking Physics.
d)
For every 150 students we could predict that at least 18 of the students are taking Physics.
42.
Which number line model represents the sum of
1 1/2 + (– 1/2 )?
1 1/2 + (– 1/2 )?
a)
A
b)
B
c)
C
d)
D
43.
This table shows a proportional relationship between x and y. Find the constant of proportionality.
a)
12
b)
14
c)
10
d)
16
44.
This graph shows a proportional relationship between the number of hours (h) a business operates and the total cost (c) of electricity. Select True or False for the following statement about the graph:
Point A represents the total cost of electricity when operating the business for 6 hours.
Point A represents the total cost of electricity when operating the business for 6 hours.
a)
True
b)
False
45.
This graph shows a proportional relationship between the number of hours (h) a business operates and the total cost (c) of electricity. Select True or False for the following statement about the graph:
The total cost of electricity is $8 when operating the business for 80 hours.
The total cost of electricity is $8 when operating the business for 80 hours.
a)
True
b)
False
46.
This graph shows a proportional relationship between the number of hours (h) a business operates and the total cost (c) of electricity. Select True or False for the following statement about the graph:
The total cost of electricity is $10 when operating the business for 1 hour.
The total cost of electricity is $10 when operating the business for 1 hour.
a)
True
b)
False
47.
David uses 1/2 cup of apple juice for every 1/4 cup of cranberry juice to make a fruit drink. Enter the number of cups of apple juice David uses for 1 cup of cranberry juice.
a)
1
b)
2
c)
3
d)
4
48.
Aimee has $10 to spend on school supplies. The following table shows the price of each item in the school store. No sales tax is charged on these items. Determine if Aimee can buy the combination of items with her $10. Select Yes or No for the following combination:
5 folders, 5 pens
5 folders, 5 pens
a)
Yes
b)
No
49.
Aimee has $10 to spend on school supplies. The following table shows the price of each item in the school store. No sales tax is charged on these items. Determine if Aimee can buy the combination of items with her $10. Select Yes or No for the following combination:
6 pens, 6 erasers
6 pens, 6 erasers
a)
Yes
b)
No
50.
Aimee has $10 to spend on school supplies. The following table shows the price of each item in the school store. No sales tax is charged on these items. Determine if Aimee can buy the combination of items with her $10. Select Yes or No for the following combination:
1 pen, 4 notebooks
1 pen, 4 notebooks
a)
Yes
b)
No
51.
Aimee has $10 to spend on school supplies. The following table shows the price of each item in the school store. No sales tax is charged on these items. Determine if Aimee can buy the combination of items with her $10. Select Yes or No for the following combination:
3 folders, 7 erasers
3 folders, 7 erasers
a)
Yes
b)
No
52.
Aimee has $10 to spend on school supplies. The following table shows the price of each item in the school store. No sales tax is charged on these items. Determine if Aimee can buy the combination of items with her $10. Select Yes or No for the following combination:
4 folders, 2 notebooks
4 folders, 2 notebooks
a)
Yes
b)
No
53.
Select all the graphs that show a proportional relationship between x and y.
a)
B, C
b)
A, B
c)
C, D
d)
A, D
54.
A scale factor of 3.5 maps Figure A unto Figure B.
Enter the value of x.
Enter the value of x.
a)
17.5
b)
8.5
c)
10.5
d)
12.5
55.
A corner shelf is ¼ of a circle and has a radius of 10.5 inches.
Enter the area of the shelf in square inches. Round your answer to the nearest tenth.
Enter the area of the shelf in square inches. Round your answer to the nearest tenth.
a)
86.6 square inches
b)
76.6 square inches
c)
96.6 square inches
d)
106.6 square inches
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