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TE-21 Review

Total questions: 30

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

What is the value of x in the equation -30x + 855 = -345

a)

-40

b)

-17

c)

17

d)

40

2.
a)
b)
c)
d)
3.

The amount of money an accountant makes, 𝒎, for working 𝒉 hours can be represented by the equation 𝒎 = 𝟐𝟗.𝟒𝒉. What is the constant of proportionality of the equation?

a)

7.35

b)

14.7

c)

29.4

d)

58.8

4.

Gabrielle and Rob each earn $𝟐𝟐 an hour, and each works 𝟒𝟎 hours this week. . Gabrielle buys a train ticket for $𝟐𝟏𝟓. 𝟖𝟎 and 𝟐 suitcases that cost $𝟑𝟔. 𝟓𝟎 each with her earnings this week. Which statement is true?

a)

Gabrielle has $591.20 of her earnings left over because 40(22) − 215.8 − (2 × 36.5) is equal to 591.2.

b)

Gabrielle has $625.70 of her earnings left over because 40(22) − 215.8 − 2 − 36.5 is equal to 625.7.

c)

Gabrielle has $375.40 of her earnings left over because 40(22) − (2 × 215.80) − (2 × 36.50) is equal to 375.4

d)

Gabrielle has $411.90 of her earnings left over because 40(22) − (2 × 215.80) − 36.50 is equal to 411.9.

5.

Gabrielle and Rob each earn $𝟐𝟐 an hour, and each works 𝟒𝟎 hours this week. Rob spends 𝟏/𝟐 of his earnings this week on bills and then buys a video game for $𝟐𝟓. 𝟕𝟓. How much of his earnings from this week does Rob have left?

a)

$5.25

b)

$34.25

c)

$414.25

d)

$853.75

6.

A gas pump fills gas into a flying hot air balloon at a constant rate. The table shows the relationship between the total number of gallons of gas, 𝒚, a hot air balloon uses flying for 𝒙 hours.

a)

y = 3x

b)

y = 6x

c)

y = 30x

d)

y = 60x

7.

Which expression is equivalent to -18x - 14?

a)

−2(−9𝑥 − 7)

b)

−2(9𝑥 + 7)

c)

2(−9𝑥 + 7)

d)

2(9𝑥 − 7)

8.

Consider the information about the number of customers that select various frame colors at a frame store one day.

• 𝟏𝟓 customers select white frames.

• 𝟑𝟎 customers select black frames.

• 𝟒𝟓 customers select gold frames.

If there are a total of 2,200 customers that order from the frame store one month, what is the best approximation for how many customer that month select a black frame?

a)

367 customers

b)

733 customers

c)

1,100 customers

d)

1,467 customers

9.

The regular price of an item is 𝒔 dollars. If the item is on sale for 𝟐𝟓% off the regular price, which two expressions represent the sale price, in dollars, of the item?

a)

0.25s

b)

0.75s

c)

1.25s

d)

s - 0.25s

e)

s + 0.25s

10.

A magician completely fills a container in the shape of a right rectangular prism with water for a magic trick. How much water does the magician use to fill the container completely?

a)

157 cubic feet

b)

130 cubic feet

c)

52.33 cubic feet

d)

43.3 cubic feet

11.

An architect creates a scale model of a building with a scale of 𝟓 cm = 𝟒 m. If the actual building is 𝟑𝟐 m tall, how tall is the scale model?

a)

8 cm

b)

25.6 cm

c)

33 cm

d)

40 cm

12.

Which expression is equivalent to 𝟏/𝟐 (𝟏𝟔𝒙 + 𝟐) + 𝟓?

a)

8𝑥 + 6

b)

8𝑥 + 7

c)

14𝑥

d)

15𝑥

13.

A lifeguard fills a pool with water at a constant rate. After 12\frac{1}{2} hour, 13\frac{1}{3} of the pool is filled. At this rate, what fraction of the pool is filled per hour?

a)

16\frac{1}{6} of the pool

b)

13\frac{1}{3} of the pool

c)

12\frac{1}{2} of the pool

d)

23\frac{2}{3} of the pool

14.

A swimsuit is on sale for $𝟐𝟗.𝟕𝟓. If the original price of the swimsuit is $𝟑𝟓, what is the percent of the discount?

a)

2%

b)

5%

c)

15%

d)

17%

15.

Which expressions are equivalent to 𝟐𝟐(𝟗. 𝟓𝒑 + 𝟑. 𝟔) − 𝟑? Select ALL that apply

a)

31.5𝑝 + 22.6

b)

31.5𝑝 + 25.6 − 3

c)

209𝑝 + 3.6 − 3

d)

209𝑝 + 76.2

e)

209𝑝 + 79.2 − 3

16.

A teenager puts $𝟓𝟎 into an investment account in January. If by December the balance in the account increases by 𝟏𝟕%, what is the amount of money in the account in December?

a)

$67.00

b)

$58.50

c)

$41.50

d)

$33.00

17.

Angle 𝑬𝑭𝑮 and angle 𝑮𝑭𝑯 are complementary angles. What is the measure of angle 𝑮𝑭𝑯?

a)

41°41\degree

b)

49°49\degree

c)

86°86\degree

d)

94°94\degree

18.

A sales associate has a goal to sell at least 𝟏𝟎𝟎 products this month. The sales associate has already sold 𝟑𝟎 products this month. If the sales associate sells 𝟒 products each day, which inequality and graph represent the possible number of days, 𝒙, the sales associate must work to meet the goal?

a)
b)
c)
d)
19.

Which set of measurements determines one unique triangle?

a)

2 inches, 3 inches, 5 inches

b)

8°, 60°, 112°

c)

10 feet, 15 feet, 20 feet

d)

20°, 25°, 45°

20.

A server makes $𝟐𝟎𝟎 a week working at a local restaurant. The server saves 𝟑𝟓% of the $𝟐𝟎𝟎 weekly earnings each week for 𝟒 weeks. If the server saves 𝟕/𝟖 of the 𝟓th week’s $𝟐𝟎𝟎 earnings, how much money will the server have saved in total after the 𝟓 weeks?

a)

$245

b)

$305

c)

$315

d)

$455

21.

A trash can has a circular base with a radius of 𝟏𝟏 centimeters. Approximately how much space does the base of the trash can occupy when on the floor? (Use 𝟑.𝟏𝟒 as an approximation of pi.)

a)

34.54 cm2

b)

69.08 cm2

c)

379.94 cm2

d)

1,519.76 cm2

22.

A lawyer spends $𝟕𝟓.𝟎𝟎 on 𝟑 staplers and 𝟑 pads of paper. If each stapler costs $𝟐𝟏.𝟕𝟓, and each pad of paper costs 𝒙 dollars, which statement is true?

a)

The equation 3𝑥 + 21.75 = 75 can be used to find 𝑥, and each pad of paper costs $3.25.

b)

The equation 3𝑥 + 21.75 = 75 can be used to find 𝑥, and each pad of paper costs $17.75.

c)

The equation 3(𝑥 + 21.75) = 75 can be used to find 𝑥, and each pad of paper costs $3.25

d)

The equation 3(𝑥 + 21.75) = 75 can be used to find 𝑥, and each pad of paper costs $17.75.

23.

Which expression is equivalent to −𝟏𝟎.𝟕𝟓(𝟐𝟎𝒙 + 𝟏𝟓.𝟐)?

a)

−215𝑥 − 163.4

b)

−215𝑥 + 15.2

c)

9.25𝑥 + 4.45

d)

30.75𝑥 + 4.45

24.

A farmer sells produce by the pound. The table shows the prices for various amounts and kinds of produce. If the farmer sells 16 pounds of avocados, 12 pounds of figs, and 9 pounds of strawberries for $𝟏𝟑𝟗. 𝟓𝟎, what is the price per pound of strawberries?

a)

$0.73

b)

$2.10

c)

$2.50

d)

$6.44

25.

Which graph displays the solutions to the inequality 𝟗𝒙 − 𝟏𝟏𝟎 < 𝟒𝟕𝟓 correctly?

a)

b)

c)

d)

26.

The bill at a restaurant is $𝟑𝟐 before tax. The tax on the bill is 𝟓%. How much is the final bill including tax?

a)

$30.40

b)

$33.60

c)

$37.00

d)

$48.00

27.

A beekeeper has 65,000 female bees and 700 male bees in one colony. A disease kills 𝟐𝟓% of the female bees and 𝟏𝟒% of the male bees. After the disease hits the colony, the beekeeper decides to sell 𝟏/𝟐 of the remaining female bees to a friend. How many total bees are left in the beekeeper’s colony after the disease and sale?

a)

13,500 bees

b)

24,375 bees

c)

24,977 bees

d)

32,550 bees

28.

An artist buys 4 packages of paintbrushes. If each package contains 𝒓 round brushes and twice as many flat brushes as round brushes, which expressions represent the total number of paintbrushes the artist buys? Select ALL that apply.

a)

𝑟 + 2𝑟

b)

3𝑟 + 1

c)

4(𝑟 + 2𝑟)

d)

4𝑟 + 4𝑟

e)

4𝑟 + 8𝑟

29.

The dimensions of a rectangular prism are given in the net shown. What is the total surface area of the rectangular prism in square inches?

a)

71 in2

b)

58 in2

c)

142 in2

d)

105 in2

30.

A rectangle, a triangle, and two congruent semicircles were used to form the figure shown. Which measurement is closest to the area of the figure in square centimeters? Use 3.14 for pi.

a)

67 cm2

b)

74 cm2

c)

79 cm2

d)

88 cm2