1
Brennen was adding using a number line. He started on 12 and ended on -3. What number did he add to 12?
 a. 9 b. -9 c. 15 d. -15
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Question 2
Caleb was scuba diving. He descended, or went deeper into the water, 12.5 meters at a time, and then he would stop to check out his surroundings. After descending five times, what rational number could be used to describe his location?
 a. 17.5 meters b. -17.5 meters c. 62.5 meters d. -62.5 meters
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Question 3
Gregg owns a small store. After he purchases materials to sell, he marks up the prices by 15%. If he is selling an item for \$20.60, what did he pay for the item originally?
 a. \$17.91 b. \$17.51 c. \$20.45 d. \$23.69
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Question 4
Hannah started with \$548.92 in her checking account. In the check register she wrote -\$34.88 and -12.71 to show the amounts of money she spent at two stores. What is her new account balance?
 a. \$526.75 b. \$571.09 c. \$501.33 d. \$596.51
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Question 5
Jerod completed 32% of the yard work while Marty completed 14% of the yard work. Which decimal represents the amount of work they completed together?
 a. 0.18 b. 0.46 c. 0.046 d. 0.018
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Question 6
Marissa and Cami went on vacation. Marissa went to Alaska, where the temperature was -3 ⁰F. Cami is in Texas where it is 95 ⁰F. How much warmer is it in Texas than Alaska?
 a. 92⁰ b. -92⁰ c. 98⁰ d. -98⁰
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Question 7
Molly purchased a hat that was 20% off. She paid \$24. Which of the following amounts shows the original price?
 a. \$30 b. \$28.80 c. \$28 d. \$21.20
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Question 8
Patty placed \$4,500 in a savings account for 10 years earning a rate of 2.8%. How much interest did she earn?
 a. \$12.60 b. \$126 c. \$1,260 d. \$12,600
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Question 9
Solve the following expression: 12.4 ÷ 4 + 3.2 - 9.71 x 2.
 a. -6.82 b. -12.12 c. -13.12 d. 19.32
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Question 10
The numerical expression + (- + ) - is equal to:
 a. - b. c. - d. .
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Question 11
The water level changes by - of an inch every two years in Carlos's pond. How much will the water level have changed after six years?
 a. - b. - c. - d. - .
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Question 12
Tyron purchased a coat on sale 30% off. The original price was \$150. After the discount is taken off and 4% tax is added on, what is the final cost?
 a. \$111.00 b. \$109.20 c. \$99.00 d. \$46.80
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Question 13
Which of the following choices shows the amounts in order from least to greatest?
 a. 45%, 0.5, b. 80%, , 0.492 c. , 65%, 0.329 d. , 0.31, 49%
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Question 14
Which of the following is the final price of an item bought for \$26 with a 6% sales tax added on?
 a. \$24.44 b. \$26.06 c. \$26.60 d. \$27.56
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Question 15
Which of the following shows the decimal and fraction version of 12.5%?
 a. 0.125, b. 12.5, c. 0.125, d. 12.5, .
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Question 16
Yvonne works as a real estate agent. She earns a 3% commission on each house she sells. Last week she sold a home for \$130,000. Which of the following expressions could be used to calculate how much Yvonne earned?
 a. \$130,000(0.3) b. \$130,000(0.03) c. \$130,000 ÷ 0.3 d. \$130,000 ÷ 0.03
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Question 17
A painter was paid \$500 for 40 hours of work painting houses. What is the unit rate and what does it mean?
 a. \$12.50 per hour, which is the amount that the painter was paid each hour b. 12.50 hours, which is the amount of time spent on the job each day c. \$8 per hour, which is the amount that the painter was paid each hour d. 8 hours, which is the amount of time spent on the job each day
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Question 18
For every eight minutes that Patty runs, she completes another mile. Which of the following equations shows this proportional relationship, where x is the minutes and y is the number of miles?
 a. y = 8x b. y = x c. y = x + 8 d. y = x - 8
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Question 19
For every three dishes Kyla cleans, Makenzie cleans five. Which of the following proportions can be used to determine how many dishes Makenzie cleans if Kyla cleans 38?
 a. = b. = c. = d. = .
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Question 20
Frank is planning out a design for a home. The design includes a bedroom with a rectangular floor. The length of the actual bedroom will be 15 feet. On the blueprint, the length is 3 inches. He notices that the area of the bedroom on the blueprint is 6 in . What is the actual width of the bedroom?
 a. 5 feet b. 10 feet c. 20 feet d. 30 feet
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Question 21
Given the following four shapes, which two are similar? a. Shape 1 and Shape 2 b. Shape 2 and Shape 4 c. Shape 2 and Shape 3 d. Shape 1 and Shape 3
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Question 22
Gurnaz is solving the proportion = . Which of the following sets of cross products could be used to solve for x?
 a. 15x = 4*6 b. 30x = 8*12 c. 2x = 3*30 d. 12x = 8*30
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Question 23
Henry can mow of his lawn in 15 minutes. At this rate, how much of his lawn can he mow in one hour?
 a. b. c. d. .
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Question 24
In the proportion = , the original ratio has been scaled up by a factor of:
 a. 2.5. b. 4.5. c. 7.5. d. 37.5.
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Question 25
Mark is painting the examination rooms in a medical building. The relationship between the blue and the white paint used in each room is proportional. If he uses two parts blue for every six parts white, which of the following equations compares the amount of white paint, w , to the amount of blue paint, b?
 a. w = b b. b = 3w c. b = w d. b = w
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Question 26
On a map, two cities are 5 inches apart. If the scale used to create the map is 2 inches : 30 miles, what is the actual distance between the two cities?
 a. 150 miles b. 120 miles c. 75 miles d. 65 miles
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Question 27
The following two shapes are similar. What is the scale factor that can be used to determine the length of x? a. 0.5 b. 2.5 c. 3.5 d. 4
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Question 28
There are two girls for every three boys at the concert. Which of the following ratios compares the boys to the total in three different ways?
 a. 3 : 2, 3 to 2, b. 2 to 5, , 2 x 5 c. 3 : 5, 3 to 5, d. 2 to 3, 2 x 3, .
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Question 29
Which of the following equations describes the proportional relationship shown in the graph? a. y = 3x b. y = x c. x = 3y d. x = y + 3
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Question 30
Which of the following ratios is equivalent to 30 : 45?
 a. b. 10 to 15 c. 9 : 6 d. 90 to 60
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Question 31
Which of the following shows an example of a proportion?
 a. = b. = c. = d. = .
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Question 32
Which of the following shows the better buy?
 a. Five apples for \$3.00 b. Four apples for \$2.60 c. Ten apples for \$6.60 d. Twenty apples for \$12.40
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Question 33
Caleb wants to purchase a pair of shoes and some T-shirts. He wants to spend less than \$100. The pair of shoes costs \$38 and each T-shirt costs \$10. Which of the following inequalities could be used to determine how many T-shirts Caleb can buy?
 a. 10x + 38 > 100 b. 10x + 38 < 100 c. 38x + 10 > 100 d. 38x + 10 < 100
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Question 34
DeShawn is growing a plant for a science project. The plant was x cm tall yesterday and it grows 11% each day. Which of the following expressions could represent the height of the plant today?
 a. x + 0.11x b. 0.11x c. x * 0.11x d. x + 0.11
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Question 35
Franca wants to buy a pair of shoes. There will be an additional 4% added on for tax. Which expression could be used to determine the final cost of the shoes?
 a. x + 0.04 b. 0.04x c. x + 0.04x d. x - 0.04x
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Question 36
In which of the following equations does x = -5?
 a. 2x + 9 = -19 b. 3x - 7 = -22 c. -2x - 3 = -13 d. -4x + 2 = 18
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Question 37
Maria can spend, at most, \$40 at the fair. It costs \$5 to get in and then \$0.25 per ticket. Which of the following inequalities shows how many tickets she can buy?
 a. \$0.25 + \$5 \$40 b. \$0.25x + \$5 \$40 c. \$5x + \$0.25 \$40 d. (\$5 + \$0.25) x \$40
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Question 38
Renita hired a plumber. In the estimate, she was told that the supplies for the job would cost \$120 and that there would be a \$40 per hour charge for the labor. If she only has \$280 to spend on the job, which of the following equations can be used to determine how many hours (x) she can afford?
 a. 40x + 120 = 320 b. 120x + 40 = 320 c. (120 - 40)x = 320 d. (120 + 40)x = 320
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Question 39
Simplify the following expression: 5(3x - 9) + 11x + 4.
 a. 26x - 5 b. 19x - 5 c. 26x - 41 d. 19x - 41
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Question 40
Solve the following inequality: 7x + 2x - 18 -108.
 a. x 14 b. x -14 c. x -10 d. x -10
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Question 41
The first step in solving -8x + 3 = -21 would be to:
 a. add 3 to both sides of the equation. b. subtract 3 from both sides of the equation. c. divide both sides of the equation by -8. d. add 8 to both sides of the equation.
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Question 42
What is the value of x in the following equation: 3(2x + 5) = -18 + 5?
 a. -24 b. -12 c. 3 d. -3
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Question 43
Which number line shows the solution to the following inequality: 6y + 3y - 11 70? a. A b. B c. C d. D
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Question 44
Which of the following expressions could be written as 4 - 3x?
 a. 4 less than the product of 3 and x b. 4 minus the quotient of 3 and x c. 4 reduced by the difference of 3 and x d. 4 diminished by the product of 3 and x
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Question 45
Which of the following expressions is equivalent to 7(x + y)?
 a. 7(xy) b. (7 + x)(7 + y) c. 7+ xy d. 7x + 7y
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Question 46
Which of the following expressions represents the sum of (2x + 5y) and (-7x + 3y)?
 a. 3xy b. 5x + 8y c. -5x + 8y d. -5x2 + 8y2
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Question 47
Which of the following expressions will be equal to 13 when x = 4 and y = -2?
 a. 5x + 3y - 9 b. 5x + 4y + 1 c. 6x - 5y - 1 d. 3x - 2y + 5
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Question 48
Which value of y will make the following statement true: y(2x + 3) + 5 = -8x - 7?
 a. -4 b. 4 c. -6 d. 6
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Question 49
A dog is tied to a post in the middle of a large backyard. If the rope used to tie the dog is 30 feet long, what is the area of the space the dog can roam? The answer should be in terms of pi.
 a. 30π ft2 b. 225π ft2 c. 900π ft2 d. 3,000π ft2
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Question 50
A hole was drilled into a piece of wood, as shown below. What is the area of the remaining wood? a. 38 in2 b. 27.44 in2 c. 33.14 in2 d. 36.86 in2
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Question 51
A rectangle has an area of 160 ft2 and a base of 16 ft. What is the height of the rectangle?
 a. 40 feet b. 16 feet c. 10 feet d. 8 feet
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Question 52
Bella wants to create a package that has one-fourth the surface area of the original package. How would she change the lengths of the sides of the package to create the new package?
 a. Cut the sides in half b. Cut the sides in quarters c. Cut the sides in eighths d. Double the sides
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Question 53
Determine the surface area of the shape below. a. 432 in2 b. 456 in2 c. 480 in2 d. 528 in2
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Question 54
Determine the volume of the following shape. a. 24 cm3 b. 358 cm3 c. 420 cm3 d. 1257 cm3
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Question 55
Jerod is building a staircase. He needs to calculate the angles so that the wood will meet the wall correctly. What is the measure of the angle that connects the wall to the top of the staircase? a. 162° b. 72° c. 62° d. 18°
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Question 56
Name three lengths that could form a triangle.
 a. 5 cm, 6 cm, 9 cm b. 3 cm, 8 cm, 14 cm c. 3 cm, 3 cm, 14 cm d. 1 cm, 10 cm, 12 cm
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Question 57
Review the following figure and name the relationship between < 3 and < 4. a. Adjacent angles b. Supplementary angles c. Complementary angles d. Vertical angles
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Question 58
The area of a triangle is 80 in2 and the base is 10 in. What is the height of the triangle?
 a. 8 inches b. 16 inches c. 24 inches d. 80 inches
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Question 59
The surface area of a cube is 96 cm2. What is the volume of the same cube?
 a. 4 cm3 b. 16 cm3 c. 64 cm3 d. 256 cm3
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Question 60
What is the circumference of a circle with a diameter of 50 m? The answer should be in terms of pi.
 a. 50π m b. 100π m c. 200π m d. 2500π m
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Question 61
When the perimeter of a square is doubled, which expression explains what happens to the area of the square?
 a. The area is also doubled. b. The area is cut in half. c. The area is quadrupled. d. The area is cut in fourths.
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Question 62
Which of the following equations could be used to solve for x in the given diagram? a. 43 + x = 98 b. 43 + 98 + x = 180 c. x = 43 d. 43 + 98 + x = 360
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Question 63
Which of the following is an example of a quadrilateral that is impossible to draw?
 a. Trapezoid with only two right angles b. Parallelogram with obtuse and acute angles c. Trapezoid with three right angles d. Rhombus with obtuse and acute angles
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Question 64
Which of the following shapes can hold more? a. A b. B c. C d. D
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Question 65
Carlos is developing an experiment to represent people choosing from six different flavors of soup. Which of the following objects could be used to help model the situation?
 a. Number cube b. Spinner c. Deck of cards d. Coin
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Question 66
Emma made a line plot of all of her grades in math class this month. What are the mean and median of her scores? a. Mean = 80.5, median 80 b. Mean = 80.5, median = 81.5 c. Mean = 81.5, median = 80.5 d. Mean = 81.5, median = 83
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Question 67
Enoch threw a number cube 600 times. It landed on a number greater than 4, 420 times. Enoch claims that his results were different from what he had predicted. Which of the following expressions explains what Enoch meant?
 a. Enoch was expecting to get a number greater than 4 only about 50% of the time and instead he rolled a number greater than 4 70% of the time. b. Enoch was expecting to get a number greater than 4 only about 25% of the time and instead he rolled a number greater than 4 70% of the time. c. Enoch was expecting to get a number greater than 4 only about 33% of the time and instead he rolled a number greater than 4 70% of the time. d. Enoch was expecting to get a number greater than 4 only about 17% of the time and instead he rolled a number greater than 4 70% of the time.
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Question 68
Henry has eight cards numbered 1 through 8. He is going to choose two cards from the deck without replacement. What is the probability that he will choose two odd-numbered cards? a. b. c. d. .
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Question 69
How many different possible outcomes are there when a fair coin and a number cube are both tossed at the same time?
 a. 2 b. 8 c. 12 d. 36
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Question 70
If a fair number cube, labeled with the numbers 1 - 6, is rolled 90 times, which result is most likely to occur?
 a. The number cube will land on an odd number about 45 times. b. The number cube will land on an odd number exactly 45 times. c. The number cube will land on a number larger than 4 about 15 times. d. The number cube will land on a number larger than 4 exactly 15 times.
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Question 71
Kyla has 100 songs randomly playing in her "wake up" playlist on her MP3 player. Five of those songs are by her favorite artist. What is the probability that one of the next three songs are by her favorite artist?
 a. 86% b. 45% c. 5% d. 0.45%
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Question 72
Mrs. Colton is in charge of ordering yearbooks. She conducts a survey of 50 students to see who is planning to purchase a yearbook in the spring. Thirty-five of the students indicate that they plan to make the purchase. If there are 1,200 students in the school, how many should Mrs. Colton plan on purchasing a yearbook?
 a. 35 students b. 420 students c. 600 students d. 840 students
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Question 73
One out of every six students in a seventh-grade class is left-handed. Which of the following could be used to find the experimental probability that we will get a left-handed student when choosing randomly?
 a. Use a coin. Heads is right-handed, tails is left-handed. b. Use a spinner with four colors. Red represents right-handed. Yellow, blue, and green are left-handed. c. Use a number cube. Even numbers represent right-handed and odd numbers represent left-handed. d. Use a number cube. Landing on 1 represents left-handed. Landing on 2 - 6 represents-right handed.
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Question 74
Sarah and Pardik are comparing the number of home runs per game for each of their baseball teams. Compare the mean absolute deviation (MAD) of number of home runs for the different teams. a. Sarah's team has a smaller mean but a larger MAD. b. Sarah's team has a smaller mean and a smaller MAD. c. Sarah's team has a larger mean but a smaller MAD. d. Sarah's team has a larger mean and a larger MAD.
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Question 75
Sunil is randomly tossing shoes onto her rug. Using the following graphic, what is the probability that the shoes will land in the center area of the rug? a. b. c. d. .
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Question 76
The following box-and-whisker plots show the average daily temperatures in spring and summer. Which of the following describes the variability between the two seasons? a. The summer season has a smaller range and a smaller interquartile range than the spring season. b. The spring has a larger interquartile range; however, the summer has a larger range. c. The summer has a smaller MAD and a smaller range than the spring season. d. The spring has a larger interquartile range and a larger MAD than the summer season.
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Question 77
The net below shows the sides of an unusual number cube. What is the sample space for this number cube? a. {1, 2, 3, 4, 5, 6} b. {1, 2, 3} c. {3, 3, 9, 9, 9, 17} d. {3, 9, 17}
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Question 78
Use the table to answer the question. Which of the following math sentences shows how many ways you can make a pizza with one topping? a. 5 + 4 + 3 = 12 b. 5 x 4 x 3 = 60 c. (5 + 4) x 3 = 27 d. (5 x 4) + (5 x 3) = 35
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Question 79
What is another name for the interquartile range (IQR)? 