# Algebra Final Exam

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Final Exam

Cumulative /100 pts

Show work where appropriate on this test, or use and attach scratch paper, and write your answers in the right-hand column. Add and simplify.

1) 110 +

8 15 1)

1. A) 1130 B) 3 5 C)

3 10 D)

19 30

Subtract. Write a mixed numeral for the answer.

2) 14 67 – 6 1

3 2)

1. A) 8 1721 B) 8 11

21 C) 7 17

21 D) 10

Multiply. Write a mixed numeral for the answer.

3) 1 38 ·

4 9 3)

1. A) 1 1272 B) 9 18 C)

11 18 D)

3 11 18

Divide. Write a mixed numeral for the answer.

4) 2 25 ÷ 3

5 4)

1. A) 3 B) 4 C) 2 12 D) 5

Simplify.

5) 56 ÷ 1

3 –

1 5

• 2 3 5)
1. A) 4 16 B) 1 8

15 C) 2 3

10 D) 2 11

30

Estimate the sum or difference by first rounding as indicated. 6) Estimate by first rounding to the nearest hundred.

519 – 355

6)

1. A) 164 B) 100 C) 200 D) 900

Solve. 7) 22 = 6 + x 7)

1. A) 16 B) 26 C) 22 D) 6

1

8) A recipe calls for 23 cup of milk. How much milk should be used to make 1

2 of the recipe? 8)

1. A) 16 cup B) 23

cup C) 13 cup D) 36

cup

Simplify.

9) 5470 9)

1. A) 1547 B) 547 C) 0 D) Not defined

10) 0998 10)

1. A) 998 B) 1 C) 0 D) Not defined

Estimate the fraction as 0, 1 2

, or 1.

11) 1826 11)

1. A) 12 B) 1 C) 0

Multiply. 12) 0.6758 × 100 12)

1. A) 67.58 B) 675.8 C) 6.758 D) 0.006758

13) 0.942 × 0.001 13) A) 0.0000942 B) 0.00942 C) 942 D) 0.000942

Divide.

14) 717.695010 14)

1. A) 71.7695 B) 7176.95 C) 7.17695 D) 71,769.5

15) 0.0088280.01 15)

1. A) 0.08828 B) 0.8828 C) 0.00008828 D) 8.828

Answer the question. 16) There are 12 people on a committee, and 5 of them are women. What is the ratio of the number of

men to the total number of people on the committee? 16)

1. A) 75 B) 5 7 C)

5 12 D)

7 12

2

Simplify the ratio. 17) 4.8 to 7.2 17)

1. A) 4872 B) 0.6 9 C)

6 72 D)

2 3

18) Define the variable and set up the proportion that would lead to solving the following problem. Do not solve.

200 light bulbs were inspected by a quality control inspector and 16 of these were found to be defective.

At this rate, how many defective bulbs will there be in a lot of 850?

18)

Use a proportion to solve the problem. 19) To determine the number of fish in a lake, a park ranger catches 220 fish, tags them, and returns

them to the lake. Later, 72 fish are caught, and it is found that 45 of them are tagged. Estimate the number of fish in the lake.

19)

1. A) 15 fish B) 138 fish C) 352 fish D) 712,800 fish

Determine which purchase has the lower unit price. 20) The table below shows the price for a certain brand of soup by size. Find the unit prices.

Round to the nearest cent. Circle the better buy.

Size Price Unit Price

8 fl oz \$3.89

12 fl oz \$5.44

20)

Solve. 21) On a biology test, a student got 25 questions correct but did not pass. On a second attempt, the

student got 32 questions correct. What was the percent of increase? 21)

1. A) 7% B) 21.9% C) 28% D) 72%

Solve the problem. 22) In one country, it is estimated that in the year 2050, 7% of the population will be over 70. If the

population of this country in 2050 is 256 million, how many people will be over 70? 22)

1. A) 15.36 million B) 17.92 million C) 20.48 million D) 179.20 million

3

23) Mike buys a bike for \$400. In the first month after he buys it, it depreciates by 7%. What is the value of the bike after 1 month?

23)

1. A) \$28 B) \$372 C) \$393 D) \$428

24) The regular price of a blanket is \$22.50. During a November sale, the blanket was selling for 45% off the regular price. What was the sale price of the blanket? Round to the nearest cent.

24)

1. A) \$10.38 B) \$10.12 C) \$12.38 D) \$12.63

25) Use either the percent equation or proportion to solve the problem below. Show your work to solve. Label your answer with units.

In general, a car holds 75% of its original value after one year. What is the original cost of a car that is worth \$13,875 at the end of one year?

25)

Solve the problem. Assume that simple interest is being calculated in each case. Round your answer to the nearest cent if necessary.

26) John forgot to pay his \$371.00 income tax on time. The IRS charged a penalty of 17% for the 58 days the money was late. Find the penalty that was paid. (Use a 365 day year.)

26)

Complete. 27) 23 yd = in. 27)

28) 761 cm = m 28)

29) 928 oz = lb 29)

30) 23 kg = mg 30)

31) 9 12 gal = fl. oz. 31)

32) 10 mL = L 32)

33) 2 m = in. (Round to the nearest tenth.) 33)

34) 4250 ft = cm (Round to the nearest tenth.) 34)

Convert to Celsius. Round your answer to the nearest tenth if necessary. 35) 23°F 35)

Convert to Fahrenheit. Round your answer to the nearest tenth if necessary. 36) -7°C 36)

4

Find the perimeter of the polygon. 37) 8 m

2 m

18 m 14 m 21 m 19 m

11 m

21 m

37)

38) A square with side length 9.5 cm. Sketch and label a diagram for full credit. 38)

Find the perimeter. 39)

4 in.

4 in.

39)

Find the area of the circle. 40) Use 3.14 for .

41 mi

40)

Find the area of the shaded region. 41) 10 m

8 m

10 m

41)

Find the area. 42) 8 ft

7 ft

16 ft

42)

5

Simplify. 43) 36 43)

44) 196 44)

45) 32 is between the numbers _____ and _____. 45)

Approximate to three decimal places. 46) 800 46)

6

Final Exam Part 2

Complete the chart. Be sure to show your work, even if you use the calculator to verify answers.

47.

48.

49.

50.

Fraction (reduced) Decimal Percent

33 1

3 %

.35

6

25

.1872

Last Updated on March 17, 2020