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100 Question 7th Grade Math Review (TN)

Total questions: 100

Worksheet time: 12hrs 13mins

Name
Class
Date
1.

The Tulip Poplar is the State Tree of Tennessee. Jeanette made a scaled watercolor painting of a Tulip Poplar tree growing in her backyard. In her painting, the tree was 8 inches tall. If the scale she used in her painting was 1 in.: 9 ft., what was the height of the actual tree in Jeanette’s backyard?

a)

72 ft.

b)

81 ft.

c)

90 ft.

d)

99 ft.

2.

Which expression is equivalent to -3d + 2 – 8d – 7?

a)

20d

b)

-11d – 5

c)

-5d + 9

d)

-16d

3.

Jayla has a bag containing green and blue marbles. Jayla randomly selects one marble from the bag, records the result, and returns the marble to the bag. The results of the first 40 selections are:

A green marble was selected 18 times

A blue marble was selected 22 times

Based on the results, what is the probability that the next marble Jayla selects, rounded to the nearest percent, will be blue?

a)

18%

b)

22%

c)

45%

d)

55%

4.

The rectangular floor of a classroom is 28 feet in length and 20 feet in width. A scale drawing of the classroom has a length of 7 inches. What is the area, in square inches, of the drawing?

a)

40 square inches

b)

100 square inches

c)

35 square inches

d)

280 square inches

5.

Christina bought an iPhone for $729. Find the total cost including a 7% sales tax.

a)

$780.03

b)

$780.63

c)

$781.03

d)

$781.63

6.

Which of the following is not true based on the box plot shown?

a)

The tallest student was 62 inches.

b)

The average height was 58 inches.

c)

The shortest student was 53 inches tall.

d)

The median height was 58 inches.

7.

Find the value of x.

a)

24

b)

60

c)

30

d)

15

8.

The ratio of girls to boys in the 7th grade is 5:4. There are 70 girls in the 7th grade class. How many boys are in the 7th grade class?

a)

40 boys

b)

50 boys

c)

56 boys

d)

64 boys

9.

Evaluate the expression when a = 3, b = 6, and c = 3.5: −2bca-\frac{2bc}{a} .

a)

-14

b)

-12

c)

-10

d)

-8

10.

Mason put eight numbered tiles into a bag. The tiles are shown below. He then reaches into the bag and pulls out one tile. What is the probability that the tile he pulled has the number 18?

a)

14\frac{1}{4}

b)

38\frac{3}{8}

c)

12\frac{1}{2}

d)

58\frac{5}{8}

11.

Andrea is looking at a map of Tennessee. On this map, it is 3 centimeters from Jamestown to Crossville. In reality, the distance between Jamestown and Crossville is 35 miles. On the same map, it is 24 centimeters between Knoxville and Parsons. According to this map, how many miles is it from Knoxville to Parsons?

a)

280 miles

b)

240 miles

c)

210 miles

d)

180 miles

12.

A fence is shown on a blueprint, with lengths of 16 cm, 19 cm, 18 cm, and 23 cm. If the scale on the blueprint is 2 cm:7 m, what is the total length of the actual fence?

a)

266 meters

b)

2660 meters

c)

133 meters

d)

1330 meters

13.

Find the volume of a tissue box whose length is 9.5 inches, width is 4.5 inches and height is 6 inches.

a)

256.5 cubic inches

b)

256 cubic inches

c)

256.25 cubic inches

d)

256.75 cubic inches

14.

What is the measure, in degrees, of angle AED?

a)

54°

b)

144°

c)

102°

d)

72°

15.

What number is 55% of 72?

a)

36.8

b)

36.9

c)

39.6

d)

38.6

16.

At what speed is car 2 travelling?

a)

30 km/h

b)

40 km/h

c)

50 km/h

d)

60 km/h

17.

Solve for x.

5(x + 1) = 2(x – 8)

a)

-6

b)

-4

c)

4

d)

-7

18.

Which of the following has the greatest sum?

a)

22 + (-4) – 13

b)

(-22) + 4 + 13

c)

(-22) – 4 – (-13)

d)

22 – (-4) – 13

19.

Which of the following sets of side lengths does NOT form a triangle?

a)

131 cm, 131 cm, 250 cm

b)

94 cm, 190 cm, 94 cm

c)

220 cm, 125 cm, 125 cm

d)

86 cm, 86 cm, 160 cm

20.

The tallest building in Memphis is the 100 North Main Building, built in 1965. Erik drew a scaled picture of the building, using the scale 1 in.: 21.5 ft. If the building was 20 inches tall in the drawing, how tall is the actual building?

a)

430 feet

b)

4300 feet

c)

215 feet

d)

2150 feet

21.

Find the volume of the triangular prism shown below.

a)

143.5 cubic feet

b)

195.0 cubic feet

c)

2145.0 cubic feet

d)

1072.5 cubic feet

22.

Find the sum. −534+338=-5\frac{3}{4}+3\frac{3}{8}=

a)

2382\frac{3}{8}

b)

−238-2\frac{3}{8}

c)

−8612-8\frac{6}{12}

d)

86128\frac{6}{12}

23.

The current temperature is -8°C. The high temperature yesterday was as many degrees above 0°C as the current temperature is below 0°C. Which expression could be used to find the number of degrees between the current temperature and yesterday’s high temperature?

a)

|-8 + 8|

b)

|8 - 8|

c)

|8 + -8|

d)

|8 - -8|

24.

Write 0.274 as a percent.

a)

2.74%

b)

27.4%

c)

274%

d)

0.274%

25.

According to the Tennessee Department of Agriculture, Tennessee's forests cover 14 million acres (52 percent) of the state. Based on this data, how many total acres of land does Tennessee have?

a)

7.3 million

b)

14.5 million

c)

26.9 million

d)

29.2 million

26.

Kate has a bag containing 2 red marbles, 5 blue marbles, 1 green marble, and 2 white marbles. She randomly picks one marble from the bag. What is the theoretical probability that she will select a white marble?

a)

15\frac{1}{5}

b)

12\frac{1}{2}

c)

14\frac{1}{4}

d)

110\frac{1}{10}

27.

Jessy had a coupon for c dollars off of each box of crackers. She bought 4 boxes of crackers for (2.50 - c) dollars each. She also bought 5 packages of cheese for h dollars each. The total amount, in dollars, she spent on the cheese and crackers is represented by the expression below. 4(2.50 - c) + 5h Which expression also represents the total amount, in dollars, she spent?

a)

6.50 - 4c + 9h

b)

10 - c + 5h

c)

6.50 - 4c + 5h

d)

10 - 4c + 5h

28.

Find the value of x. −15÷x=−5-\frac{1}{5}\div x=-5

a)

25

b)

-25

c)

1/25

d)

-1/25

29.

Makayla randomly selected a letter from the first half of the alphabet. What is the probability that she selected a consonant?

a)

23%

b)

77%

c)

87%

d)

100%

30.

Andy prepares 150 name tags to use at a meeting. The number for each color of name tag is described below. How many of Andy’s name tags are green?

- 22% of the name tags are blue

- 3/5 of the name tags are yellow

- All of the remaining name tags are green

a)

18

b)

27

c)

42

d)

60

31.

Trina will survey 40 students in her town to find out what their favorite summertime activity is. Which group would likely give the best representation for her survey?

a)

40 students at a library

b)

40 students in her school

c)

40 students at the beach

d)

40 students at baseball practice

32.

What is 216% of 25?

a)

54

b)

60

c)

64

d)

72

33.

According to an online source, Mt. Juliet Middle School has a student population of 1,642. The same source indicates that student to teacher ratio is 21:1. Based on this data, how many teachers does Mt. Juliet Middle School have? Round your answer to the nearest whole number.

a)

75

b)

78

c)

82

d)

85

34.

Solve for x.

a)

11

b)

12

c)

13

d)

25

35.

A company makes a table for $20 and sells it for $26. What is the percentage of markup?

a)

20%

b)

25%

c)

30%

d)

35%

36.

Alan drove 496 miles from Memphis to Johnson City. He used 16 gallons of gas for this trip. How many miles was he able to travel on one gallon of gas?

a)

28 miles

b)

30 miles

c)

31 miles

d)

32 miles

37.

A park is in the shape of a circle and has a diameter of 15 miles. What is the area, in square miles, of the park?

a)

153.2 square miles

b)

176.7 square miles

c)

180 square miles

d)

225.3 square miles

38.

Simplify the expression: 15(10w−30)+25\frac{1}{5} (10w - 30) + 25 .

a)

2w + 19

b)

2w + 21

c)

2w + 23

d)

2w + 25

39.

In which quadrant is the ordered pair (-3,8)?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

40.

What was Tim’s mean test score in the second semester?

a)

85

b)

88

c)

87

d)

86

41.

What was Tim’s median test score in the second semester?

a)

85

b)

86

c)

87

d)

88

42.

Solve: −423−(−238)-4\frac{2}{3}-(-2\frac{3}{8})

a)

-2 5/24

b)

2 5/24

c)

-6 6/11

d)

6 6/11

43.

Which number represents the probability of an event that is very likely to occur?

a)

1.3

b)

0.091

c)

0.91

d)

0.5

44.

Jacob’s lunch at a restaurant cost $17.00, without tax. He leaves the waiter a tip of 15% of the cost of the lunch, without tax. What is the total cost of the lunch, including tip, without tax?

a)

$19.55

b)

$19.70

c)

$19.25

d)

$19.80

45.

Julissa is at her favorite store at the mall. She finds a dress that is normally $64.00, but it is now on sale for $54.40. What is the percent of the discount on the dress?

a)

10%

b)

12%

c)

15%

d)

20%

46.

Which of the following is greater than 348\frac{34}{8} ?

a)

143\frac{14}{3}

b)

4912\frac{49}{12}

c)

259\frac{25}{9}

d)

176\frac{17}{6}

47.

Find the product: −123×312=-1\frac{2}{3}\times3\frac{1}{2}=

a)

-5 5/6

b)

5 5/6

c)

-4 3/5

d)

4 3/5

48.

Find the degree measure of angle x.

a)

83°

b)

93°

c)

95°

d)

85°

49.

What is the decimal equivalent of 56\frac{5}{6} ?

a)

0.83...

b)

0.833

c)

0.833...

d)

0.8383...

50.

Find the surface area of the rectangular prism shown.

a)

72 square inches

b)

88 square inches

c)

94 square inches

d)

108 square inches

51.

What is the number −5712-5\frac{7}{12} as a decimal? Round to the nearest hundredth.

a)

-5.58

b)

-5.57

c)

-5.59

d)

-5.56

52.

Three grade levels at a junior high school raised money to improve their library. The 6th grade raised $510. The 7th grade raised $136 more than the 6th grade. The 8th grade raised $94 less than the 7th grade. What was the total amount of money raised by all three grade levels?

a)

$1,508

b)

$1,608

c)

$1,708

d)

$1,808

53.

Faye deposits $80 into a new savings account. The account earns 4.5% simple interest per year. No money is added to or removed from the account in 4 years. What is the total amount of money in her savings account after 4 years?

I = Prt

a)

$14.40

b)

$96.40

c)

$98.40

d)

$94.40

54.

In the 2021-2022 hockey season, Filip Forsberg of the Predators scored 42 goals. Eight of these goals were game-winning goals. What percentage of Forsberg’s total goals were game-winning goals in the 2021-2022 season? Express your answer to the nearest whole-number percentage.

a)

19%

b)

20%

c)

18%

d)

21%

55.

Which expression is equivalent to (-18) - 36m?

a)

-3(6 - 12m)

b)

-3(6 + 12m)

c)

3(6 - 12m)

d)

3(6 + 12m)

56.

The circumference of a circle is 8π. What is the area of the circle in terms of π?

a)

16π

b)

4π

c)

2π

d)

24π

57.

Find the mean of the data set shown below. {54, 48, 49, 62, 68, 57, 53, 49}

a)

55

b)

55.5

c)

56

d)

56.5

58.

Gary draws a semicircle with a diameter of 10 inches. What is the approximate area of the semicircle?

a)

39.3 square inches

b)

78.5 square inches

c)

314 square inches

d)

157 square inches

59.

A spinner is divided into four colored sections that are not of equal size: red, green, pink, and white. The arrow on the spinner is spun several times. Based on the results shown above, what is the probability that the spinner will land on red?

a)

1/4

b)

1/5

c)

1/6

d)

1/8

60.

Jason goes bowling. He has $30.00 to spend. He spends $6.25 to rent shoes. He spends $2.95 for each game he bowls. Which inequality can Sam use to determine the greatest number of games he can bowl?

a)

6.25 + 2.95x ≤ 30

b)

2.95 + 6.25x ≥ 30

c)

6.25 + 2.95x ≥ 30

d)

2.95 + 6.25x ≤ 30

61.

The state sales tax in Nebraska is 7%. When visiting a gift shop in Nebraska, Eduardo buys a hat for $9, a t-shirt for $24, and a reusable water bottle for $4. What is the total amount of sales tax he paid?

a)

$2.45

b)

$2.59

c)

$2.73

d)

$2.87

62.

Nathan constructs a scale model of a building with a rectangular base. His model is 3 inches in length and 2 inches in width. The scale on the model is 1 inch = 32 feet. What is the actual area, in square feet, of the base of the building?

a)

6,144

b)

3,072

c)

1,536

d)

6

63.

A box contains marbles of three different colors. The numbers of each color of marble are listed. What is the probability that the marble selected is either blue or green?

a)

5/6

b)

2/3

c)

1/6

d)

5/1

64.

Last week, the price of chicken at a grocery store was $3.35 per pound. This week, the same store has a discount of 20% on chicken. What is the total cost of 2½ pounds of chicken at this store with the discount?

a)

$6.70

b)

$6.00

c)

$5.36

d)

$5.00

65.

What is the value of the expression?

a)

30

b)

210

c)

-30

d)

-210

66.

Angle A and angle B on intersecting lines are adjacent angles. If angle A is 29°, what is the measure, in degrees, of angle B?

a)

151°

b)

131°

c)

29°

d)

61°

67.

Four hockey players from the Nashville Predators are shown in the table. The table details the number of shots each player took on the goal in the 2020-2021 season, as well as the number of goals they made. Which player had the best shooting percentage (Shots that turned into goals)?

a)

Jarnkrok

b)

Granlund

c)

Tolvanen

d)

Grimaldi

68.

What is the area of this figure?

a)

26 square meters

b)

20 square meters

c)

24 square meters

d)

32 square meters

69.

Evaluate: 15 – |2 – 18| – (–4) =

a)

19

b)

3

c)

25

d)

27

70.

Round the decimal 25.627 to the nearest tenth.

a)

25.6

b)

25.63

c)

25.7

d)

26

71.

Round the decimal 25.627 to the nearest hundredth.

a)

25.6

b)

25.63

c)

25.62

d)

26

72.

Round the decimal 25.627 to the nearest whole number.

a)

30

b)

27

c)

25

d)

26

73.

6 is 24% of what number?

a)

20

b)

24

c)

25

d)

30

74.

Ari buys 3 breakfast sandwiches at $1.89 each, 3 hashbrowns at $1.05 each, and 3 bottles of grape juice at $1.25 each. The sales tax is 7%. Find the total cost of the 3 meals, including sales tax.

a)

$12.00

b)

$12.84

c)

$13.45

d)

$13.50

75.

A roll of 50 nickels weighs approximately 9 ounces. Which proportion can be used to find the weight in ounces, w, of 600 nickels?

a)

509=600w\frac{50}{9} = \frac{600}{w}

b)

w50=9600\frac{w}{50} = \frac{9}{600}

c)

50600=w9\frac{50}{600} = \frac{w}{9}

d)

509=w600\frac{50}{9} = \frac{w}{600}

76.

Five-ninths of the horses on a ranch are brown. Which decimal is equivalent to the fraction of brown horses on the ranch?

a)

A

b)

B

c)

C

d)

D

77.

Calculate the measure of angle x.

a)

44°

b)

46°

c)

50°

d)

56°

78.

A room measures 3 1/4 inches by 3½ inches in a house plan with a scale of 1 in : 4 ft. Calculate the actual area of the room.

a)

182 square feet

b)

210.5 square feet

c)

210.75 square feet

d)

211 square feet

79.

Felicia’s Furniture is offering 15\frac{1}{5} off the price of any sofa. In addition, the store is offering a 6% discount when you pay in cash. At checkout, a 4.5% sales tax is added to the cost of the sofa. Jillian buys a sofa that originally cost $1,300. What is the cost Jillian will pay with the discounts and tax?

a)

$1,092.15

b)

$1,100.00

c)

$1,209.15

d)

$1,021.59

80.

The x- and y-values of several points on a graph are shown in the table below. What is the constant of proportionality?

a)

2

b)

4.5

c)

9

d)

10.5

81.

On January 21, 1985, the temperature recorded at Nashville International Airport at 3:00 AM was -15°F. At 3:00 PM, the temperature was recorded at 12°F. Which expressions below represents the difference in temperature between 3:00 AM and 3:00 PM?

a)

|-15 + 12|

b)

|-15 - 12|

c)

|12 + -15|

d)

|12 - -15|

e)

-15 - 12

82.

Find the quotient: −615÷(−212)-6\frac{1}{5}\div(-2\frac{1}{2})

a)

-7 2/7

b)

7 2/7

c)

-2 12/25

d)

2 12/25

83.

Simplify the expression: 9s - 6 - (-2s) - 13

a)

11s - 19

b)

7s - 19

c)

11s + 19

d)

7s + 19

84.

At a store, a shirt has a regular price of x dollars. During a sale, the price of the shirt is discounted by 19%. The expression 0.81x describes the discounted price, in dollars, of the shirt. Which expression also describes the discounted price, in dollars, of the shirt?

a)

x - 0.19

b)

x - 0.19x

c)

0.19x

d)

x - 19

85.

The triangles below are similar. What is the value of x?

a)

16 mm

b)

24 mm

c)

10 mm

d)

15 mm

86.

What value will make the equation true? −4.2+___=−112-4.2 + \_\_\_ = -1 \frac{1}{2}

a)

2.7

b)

3.7

c)

2.5

d)

3.5

87.

An object travels along a horizontal straight path at a constant rate. The object travels 140\frac{1}{40} of the length of the path in 38\frac{3}{8} second. How many seconds will it take the object to travel the entire length of the path?

a)

15 seconds

b)

30 seconds

c)

12 seconds

d)

20 seconds

88.

From midnight to 6:00 a.m., the temperature decreased by 12°F. If the original temperature was -5°F, which expression can be used to represent this situation?

a)

5 - 12

b)

-5 - 12

c)

5 - (-12)

d)

-5 - (-12)

89.

According to an online source, the population of Fairview in 2020 was roughly 9,400 people. The same source indicates that 11% of the population of Fairview was 65 years of age or older. Based on this data, how many people in Fairview in 2020 were under the age of 65?

a)

8,366

b)

1,034

c)

9,400

d)

10,434

90.

Which fraction is equivalent to a repeating decimal?

a)

6/8

b)

6/15

c)

6/4

d)

6/9

91.

The chart shows how many marbles of different colors were in a bag. Norma pulls a marble out of the bag. What is the probability that the color of the marble that Norma pulled from the bag is NOT green?

a)

1/3

b)

2/3

c)

1/2

d)

5/6

92.

Evaluate: -6 + 15 × 4 + 13 = ?

a)

67

b)

53

c)

59

d)

61

93.

Select the pair of ratios that is proportionate.

a)

5/6 and 30/42

b)

3/4 and 12/16

c)

2/3 and 14/15

d)

1/2 and 4/7

94.

Find the value of the fraction below. Express your answer as a fraction in simplest form: 1/6 + 3/4

a)

5/12

b)

11/12

c)

1/2

d)

3/5

95.

Antonio draws a circle with a diameter of 16 inches. What is the area of the circle?

a)

200.96 square inches

b)

803.84 square inches

c)

100.48 square inches

d)

50.24 square inches

96.

What is the mean of the data set shown below? {-19, 22, 16, -23, -11}

a)

-3

b)

3

c)

5

d)

-5

97.

Fairview and Rockville are 104 miles from each other. How far apart would the cities be on a map that has a scale of 1 cm : 13 miles?


Solve the proportion.

a)

7 cm

b)

1352 cm

c)

8 cm

d)

4 cm

98.

The Jones family wants to enclose their circular garden with a fence. To the nearest foot, what is the minimum length of fencing they need to buy?

a)

56.25 ft

b)

246 ft

c)

365 ft

d)

393 ft

99.
A certain event is an event...
a)
that has a probability of 1
b)
that is equally likely to occur
c)
that shows all results
d)
that almost always happens
100.

Justin made $46 mowing lawns during the summer. He went to the movies and spent $16.54, the arcade and spent $8.50, and the comic book store and spent $12.98. How much money does he have left?

a)

$7.98

b)

$5.48

c)

$6.92

d)

$8.21

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