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WorksheetsHMH Into Math 7th Grade -- Final Exam Review
Total questions: 45
Worksheet time: 4hrs 45mins
The weather report stated that there is a 1/3 chance of rain on Tuesday. How likely is it to rain?
impossible
unlikely
likely
certain
A playground is 20 meters long by 10 meters wide. The length and width of the playground are each increased by the same number of meters. The perimeter of the larger playground is represented by this expression: (x + 20) + (x + 10) + (x + 20) + (x + 10). Which expression is equivalent to the expression for the perimeter of the larger playground?
2(x + 20) (x + 10)
4(x + 20) (x + 10)
2(x + 20) + 2(x + 10)
4x + 50
Emma is creating a quilt for her art project. There is a proportional relationship between the area (in square feet) of the quilt, x, and the number of patterned squares in the quilt, y. What is the constant of proportionality for the relationship?
2 patterned squares per square foot
3 patterned squares per square foot
4 patterned squares per square foot
5 patterned squares per square foot
The sets of numbers show the lengths in units of three line segments. Check off the sets of numbers that could represent the lengths of the sides of a triangle.
8, 9, 7
12, 4, 12
19, 12, 17
13, 6, 6
The graph shows the proportional relationship between the number of pounds of watermelon purchased, x, and the cost (in dollars), y. What does the point (9, 3) represent?
For $1, you can buy 3 pounds of watermelon.
You can buy 27 pounds of watermelon for $9.
For $3, you can buy 9 pounds of watermelon.
You can buy 3 pounds of watermelon for $9.
Which of the following represents −3281 as a decimal?
-32.18
-32.125
32.125
32.18
At the end of 2014, the share price of a certain stock was $124.75. At the end of 2017, the share price of the stock was $138.50. The change in share price of the stock from 2015 to 2017 is shown in the table.
What was the change in share price in 2016? Fill in the correct number in the table.
+11.25
-5.50
+7.80
+0.00
Bonnie’s electronics store is having a 30% off sale on all merchandise. The original and sale prices are shown in the table. Sale prices are rounded, when necessary.
Select all the items for which the sale price is correct based on the original price.
Headphones
Phone charger
Minitablet
Printer
Flat screen TV
During the first half of a trivia game, Olivia’s team scored –274 points. After the second half, the team’s score was +418 points. How many points did they score in the second half of the game?
+144
–144
+692
–692
Kelly paid $45.36 for a sweater that was on sale for 25% off. What was the original price of the sweater in dollars?
$11.34
$34.02
$60.48
$181.44
Select all the equations that are true.
25.6 ÷ (–0.8) = –32
17 21÷41=4 83
12.9 × 31.5 = 4,063.5
–209.75 ÷ –0.5 = 419.5
19 31×5 43=111 61
Isabella orders a hamburger for $4.15, french fries for $2.75, and a milkshake for $4.85. The tax is $0.95. How much change should Isabella get from $20.00?
$12.70
$11.75
$8.25
$7.30
Which expression is equivalent to 4(u + 3)?
4u + 3
4u + 7
4u + 12u
4u + 12
To find the area of a circle given its diameter, divide the diameter by 2, _______ the result, and then _______.
square the result, and then multiply by π
cube the result, and then multiply by π
square the result, and then divide by π
double the result, and then multiply by π
An artist made a sculpture out of sections of metal pipe and plastic tubing. He used 1/3 yard of metal pipe divided into 4 equal pieces and 2 yards of plastic tubing divided into 3 equal pieces. What is the ratio of the length of a piece of metal pipe to the length of a piece of plastic tubing?
1 : 12
1 : 8
4 : 3
8 : 1
The difference a - b equals c. The number line shows a and b, while c is not shown.
Select all of the true statements.
|c| > |a|
|c| > |b|
c > 0
c < 0
c = 0
Aiden built a skateboard ramp and wants to fill it with sand so that it does not move. What is the volume of sand in cubic feet that Aiden needs to fill the ramp?
6.75
7.5
8
13.5
The table shows the relationship between the number of copies made at a print shop and the total cost of the copies.
The number of copies and the total cost _______ in a proportional relationship.
are not
are
are sometimes
are never
The diameter of a circle is 8 centimeters. What is the area of the circle in square centimeters? Use 3.14 for π.
12.56
50.24
100.48
200.96
What is the sum of the two expressions?
The sum is the result of adding the two expressions.
The sum is the difference of the two expressions.
The sum is the product of the two expressions.
The sum is the quotient of the two expressions.
You spin the spinner once. What is the probability of spinning a number that is less than 6?
3/8
15/64
5/8
1
You spin the spinner once. What is the probability of spinning a number that is greater than 5?
3/8
15/64
5/8
1
Isabella is traveling by train. There is a proportional relationship between the amount of time (in hours) she spends on the train, x, and the distance she travels (in miles), y.
In 1.5 hours, Isabella’s train travels 75 miles. What is the equation for the relationship between x and y?
y = 50x
y = 75x
y = 1.5x
y = 100x
Isabella is traveling by train. There is a proportional relationship between the amount of time (in hours) she spends on the train, x, and the distance she travels (in miles), y.
If 1.5 hours, Isabella’s train travels 75 miles, then her train will have traveled (a) miles in 2.5 hours.
In the diagram, FC, EB, and AD are shown. What is the measure of ∠DGE?
85°
60°
45°
35°
A mobile phone company offers a data-only plan for a monthly charge of $15, plus an additional $10 for each gigabyte of data used.
Which of the following equations can be used to calculate the total monthly cost, c, in dollars based on the number of gigabytes, g, of data used?
c = 15g + 10
g = 15c + 10
c = 10g + 15
g = 10c + 15
If Logan walks 7/8 mile in each 1/3 hour, how fast is he walking?
7/24 mile per hour
8/21 mile per hour
2 5/8 miles per hour
3 3/7 miles per hour
What is the difference between the medians of the two sets of data?
0 m
0.5 m
7 m
13.5 m
A factory produces sunglasses at a rate of 500 pairs per day, every day. For the month of November, the factory cuts its daily production by 1/5. How many pairs of sunglasses will the factory produce in the 30 days of November?
3,000 pairs
12,000 pairs
15,000 pairs
18,000 pairs
A square playground has a perimeter of 100 feet. What is the area of the playground?
200 ft²
625 ft²
2,500 ft²
10,000 ft²
Does the graph represent a proportional relationship?
Yes, because the graph is a straight line through the origin.
Yes, because the graph is a straight line not through the origin.
No, because the graph is not a straight line.
No, because the graph does not go through the origin.
Does the graph represent a proportional relationship?
Yes, because the graph is a straight line through the origin.
Yes, because the graph is a straight line not through the origin.
No, because the graph is not a straight line.
No, because the graph does not go through the origin.
Does the graph represent a proportional relationship?
Yes, because the graph is a straight line through the origin.
Yes, because the graph is a straight line not through the origin.
No, because the graph is not a straight line.
No, because the graph does not go through the origin.
A group of volunteers tagged and released 57 falcons as part of a research project. Later, the volunteers counted 150 falcons, 18 of which had tags. To the nearest whole number, what is the BEST estimate for the falcon population?
150 falcons
225 falcons
475 falcons
500 falcons
Daniel has $25 to spend at the fair. The admission to the fair is $4, and the rides cost $1.50 each. Daniel rides x rides at the fair. What inequality symbol represents this situation?
<
"less than"
>
"greater than"
≥
"greater than or equal to"
≤
"less than or equal to"
Solve the equation: 6a + 5a = −11
(a)
Solve the equation: 4x + 6 + 3 = 17
(a)
Solve the equation: 6r − 1 + 6r = 11
(a)
Lois made a storage box that is 2 ft long, 2 ft wide, and 1 ft high. What is the surface area of the storage box?
2 square feet
4 square feet
8 square feet
16 square feet
The surface area of an object is the total area of the exterior surface of a solid.
True
False
Use the diagram to solve for x.
x = 25
x = 30
x = 35
x = 11
Use the diagram to solve for x.
x = 45
x = 60
x = 75
x = 90
Use the diagram to solve for x.
x = 53
x = 60
x = 67
x = 113
A spinner is divided into 6 equal sections numbered 1 through 6. If the spinner is spun 30 times and lands on 3 during 6 of those spins, what is the experimental probability of landing on 3?
1/2
1/3
1/5
1/10
Angle 1: 3x+15
Angle 2: 6x−18
If the angles above are "alternate interior angles", what is the value of x?
x = 9
x = 10.5
x = 11
x = 12.5
