Semester Exam Review

Semester Exam Review

Multiple Choice

Identify the choice that best completes the statement or answers the question.

____ 1. Evaluate the expression for the given value of the variable.

6(x – 6) + 4 for x = 8

a. / 88 / c. / 16
b. / 6(8x – 6) + 4 / d. / 46

____ 2. The students in the astronomy club are selling snacks to raise money for a planetarium field trip. If they sell x muffins at $0.35 apiece and y bags of carrot sticks at $0.15 apiece, the total number of dollars raised will be . How many dollars will they raise if they sell 210 muffins and 120 bags of carrot sticks?

a. / $73.50 / c. / dollars
b. / $330.50 / d. / $91.50

____ 3. Simplify the expression |–3| + |–9|.

a. / –6 / c. / 12
b. / –12 / d. / 6

____ 4. The table shows the maximum diving depth five students have achieved. Write the students’ names in order from the deepest depth to the shallowest depth.

Maximum Diving Depth
Student / Depth
Jared / 2 ft
Cynan / 46 ft
Julius / 25 ft
Tamia / 31 ft
Francis / 13 ft
a. / Jared, Francis, Tamia, Julius, Cynan / c. / Jared, Francis, Julius, Tamia, Cynan
b. / Cynan, Julius, Tamia, Francis, Jared / d. / Cynan, Tamia, Julius, Francis, Jared

____ 5. During a football game, Derek’s team was penalized 5 times and lost 15 yards on each penalty. The other team was penalized 2 times, and Derek’s team gained 5 yards each time. Find the total net change in yards because of the penalties.

a. / –85 yards / c. / –325 yards
b. / –65 yards / d. / –3 yards

____ 6. Solve the equation g + 6 = –18.

a. / g = 24 / c. / g = –24
b. / g = –12 / d. / g = 12

____ 7. In 2002, the temperature on the first day of summer was 86 °F. This is 6 °F less than it was on the first day of summer the previous year. What was the temperature on the first day of summer in 2001?

a. / In 2001, the temperature was 102 °F. / c. / In 2001, the temperature was 80 °F.
b. / In 2001, the temperature was 92 °F. / d. / In 2001, the temperature was 91 °F.

____ 8. A male caribou sheds his antlers at the end of the breeding season and grows new antlers every year. If a caribou’s antlers spread 37 inches last year and they spread 44 inches this year, how many inches wider are his antlers this year than they were last year?

a. / 81 inches / c. / 6 inches
b. / 7 inches / d. / 17 inches

____ 9. Solve .

a. / q = 21 / c. / q = 39
b. / q = / d. / q = 270

____ 10. Your class earned $110.00 Saturday afternoon by washing cars to raise money for a class trip. This is of the money needed for the trip. What is the total amount needed?

a. / $114.00 / c. / $106.00
b. / $27.50 / d. / $440.00

____ 11. Solve .

a. / z = 14 / c. / z = 135
b. / z = 85 / d. / z = 45

____ 12. Solve and graph the inequality m – 3 ³ 8.

a. / m ³ 11
b. / m ³ 5
c. / m ³ 11
d. / m ³ 5

____ 13. To join the school swim team, swimmers must be able to swim at least 500 yards without stopping. Let n represent the number of yards a swimmer can swim without stopping. Write an inequality describing which values of n will result in a swimmer making the team. Graph the solution.

a. /
/ c. /

b. /
/ d. /

____ 14. The gas tank on a car holds 15.5 gallons. If the car goes 387.5 miles on a single tank, how many miles per gallon does the car get?

a. / 20 miles per gallon / c. / 25 miles per gallon
b. / 21 miles per gallon / d. / 30 miles per gallon

____ 15. Solve w = .

a. / w = / c. / w =
b. / w = / d. / w =

____ 16. Genna wants to have a magician for her birthday party. She has $189 to spend. To have a magician come, there is an initial fee of $45, plus $24 per hour. How many hours can Genna have the magician stay?

a. / 6 hours / c. / 3.7 hours
b. / 120 hours / d. / 5 hours

____ 17. Solve .

a. / y = 33 / c. / y = 40
b. / y = 48 / d. / y = 23

____ 18. Evaluate for a = 7, b = 3, c = 2, d = 6, and x = 2.

a. / 35 / c. / 7.5
b. / 48 / d. / 7.2

____ 19. Paul predicts that n stalks of corn planted together will produce () ears of corn. If Paul plants 3 corn plants, how many ears of corn does Paul expect to harvest?

a. / 24 ears / c. / 12 ears
b. / 6 ears / d. / 30 ears

____ 20. Simplify .

a. / 36 / c. /
b. / – / d. / –36

____ 21. Multiply. Write the product as one power.

a. / / c. /
b. / / d. / Cannot combine

____ 22. Divide. Write the quotient as one power.

a. / / c. /
b. / Cannot combine / d. /

____ 23. Divide. Write the quotient as a power. The variable is not equal to zero.

a. / Cannot combine / c. /
b. / / d. /

____ 24. Simplify .

a. / / c. /
b. / / d. /

____ 25. Simplify .

a. / / c. /
b. / / d. /

____ 26. Write the number 0.000000001 in scientific notation.

a. / / c. / 0
b. / / d. /

____ 27. The planet Venus has an average distance from the sun of about 67,200,000 miles. Write this number in scientific notation.

a. / / c. / 67.2 ´ 10
b. / / d. / 0.672 ´ 10

____ 28. Find the two square roots of the number 144.

a. / 36, –36 / c. / 11, –11
b. / 72, –72 / d. / 12, –12

____ 29. A square room has a tiled floor with 81 square tiles. How many tiles are along an edge of the room?

a. / 9 tiles / c. / 40 tiles
b. / 11 tiles / d. / 20 tiles

____ 30. Simplify .

a. / 13.3 / c. / 10
b. / 44 / d. / 27

____ 31. The square root is between two consecutive integers. Name the integers.

a. / 102, 104 / c. / 10, 11
b. / 15, 16 / d. / 25, 26

____ 32. Find the length of the unknown side. Round your answer to the nearest tenth.

a. / 8 m / c. / 2 m
b. / 22.7 m / d. / 64 m

____ 33. Tell whether the given side lengths form a right triangle.

6, 11, 16

a. / Yes / b. / No

____ 34. Sal earns $480 per week. Lidia earns $300 per week. Are their salaries proportional if Sal works 40 hours per week and Lidia works 25 hours per week?

a. / no / b. / yes

____ 35. Doug and his neighbor Cindy are planting bulbs in their gardens. Doug plants 80 bulbs, 60 of which are tulips. Cindy plants 120 bulbs, 82 of which are tulips. Did the neighbors plant proportional quantities of tulips?

a. / no / b. / yes

____ 36. Gabriel got 15 out of 16 problems right on his math test. On his history test, he correctly answered 46 out of 49 questions. Were his results on the two tests proportional? Use cross products to decide.

a. / no / b. / yes

____ 37. Solve the proportion .

a. / z = 36 / c. / z = 144
b. / z = 12 / d. / z = 1

____ 38. The Anderson family is preparing for a family reunion. They think they will need 8 juice boxes for every 4 children who attend. How many juice boxes will they need if they are expecting 26 children?

a. / 208 juice boxes / c. / 32 juice boxes
b. / 52 juice boxes / d. / 8 juice boxes

____ 39. To make 6 dozen cookies, you must use 2 eggs. How many eggs are needed to make 42 dozen cookies? Use a proportion to solve.

a. / 4 eggs / c. / 126 eggs
b. / 14 eggs / d. / 7 eggs

____ 40. Which rectangles are similar?

a. / 2 and 3 / b. / 1 and 2 / c. / 1 and 3

____ 41. Mona needs to photocopy a 15 centimeters wide by 16 centimeters long picture. She wants to enlarge the picture so that its length will be 48 centimeters. How wide will the enlarged picture be?

a. / 45 cm / c. / 144 cm
b. / 47 cm / d. / 51.2 cm

____ 42. To find out how wide a river is, Jon and Sally mark an X at the spot directly across from a big rock on the other side of the river. Then they walk in a straight line along the river, perpendicular to the straight line between the X and the rock. After walking for 20 feet Jon stops while Sally continues along the straight line for another 10 feet. Then she makes a 90 degree turn and walks for 30 feet. When she stops and looks at the rock she sees that the straight line from her to the rock passes through Jon. What is the distance from X to the rock?

a. / 30 ft / c. / 60 ft
b. / 50 ft / d. / 63 ft

____ 43. Hector went shopping for a computer. At RST Store, a computer originally priced at $955 had a price reduction of 40%. What was the reduced price?

a. / $915.00 / c. / $1,337.00
b. / $573.00 / d. / $382.00

____ 44. Ms. Kuo buys and sells stocks for investors. Ms. Kuo’s salary is based on commissions from her stock sales. She receives 4% commission on each class-A security she sells and 3% on each class-B security she sells. If Ms. Kuo sells $90,100 worth of class-A securities and $56,350 worth of class-B securities in 3 months, what will her total salary be for these 3 months?

a. / $3,604.00 / c. / $1,690.50
b. / $5,294.50 / d. / $10,251.50

____ 45. Joe works in a music store and earns 18.5% commission on each sale. If Joe sells an organ and earns $82.00, what is the price of the organ? Round your answer to the nearest cent.

a. / $4.43 / c. / $508.11
b. / $443.24 / d. / $15.17

____ 46. A bank loans a customer $87,000 for a period of 15 years. The simple interest rate of the loan is 9.2%. What is the total amount that the customer will need to pay the bank over the 15 years?

a. / $1,305,000 / c. / $207,060
b. / $12,093,000 / d. / $120,060

____ 47. Oki received a statement on her Certificate of Deposit showing that her investment had returned $4,836 over its life. If the Certificate of Deposit pays a simple interest rate of 3.1% and her initial investment was $19,500, how long had the money been invested?

a. / 80 months / c. / 8 years
b. / 10.8 years / d. / 130.1 months

____ 48. Graph and find the area of the figure with vertices (–1, –1), (–2, 3), (4, 3), (5, –1).

a. /
A = 24 units2 / c. /
A = 20 units2
b. /
A = 18 units2 / d. /
A = 28 units2

____ 49. Use a composite figure to estimate the area of the figure.

a. / about 22 square units / c. / about 28 square units
b. / about 34 square units / d. / about 30 square units

____ 50. Find the perimeter of the figure.

a. / 56x3 + 12y2 / c. / 9.5x + 7y
b. / 16.5xy / d. / 56x + 12y

____ 51. Graph and find the area of the figure with the vertices (–2, 0), (–1, 4), (1, 0).

a. /
A = 11 units2 / c. /
A = 6 units2
b. /
A = 12 units2 / d. /
A = 4 units2

____ 52. Graph and find the area of the figure with the vertices (–3, –2), (–4, 2), (0, 2), (0, –2).