Questions

1) Which net represents a surface area of approximately 113.04 square inches? State the letter of the correct answer. (Use 3.14 for “pi”.)

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2) At Alicia’s home-decorating store, she sells a glass angel paperweight that is shaped like a pyramid. What is the surface area of the five glass panels of the pyramid that has the dimensions given in the figure below?

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3) A puzzle cube and its net are displayed in the given figure. Each square is one unit in length. What is the surface area of the cube?

a.) 54 square units

b.) 45 square units

c.) 36 square units

d.) 63 square units

4) How many unit cubes (1 ft by ft by 1 ft) can be packed in a box that has a length, width, and height of 4 feet?

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5) In an hour glass the sand falls into a cone-shaped pile. What is the volume of the sand that forms a cone with a radius of 2 inches and a height of 3 inches? Express the answer rounded to the nearest hundredth and label the answer correctly.

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6) If 18 dogs are housed in 4 kennels comfortably, how many dogs can be housed in 10 kennels? Use a proportion to solve.

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7) The ratio of weight on the Earth to weight on the moon is 6 : 1. If Jeremy weighs 162 pounds on the Earth, how much would he weigh on the moon?

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8) The price of grapes at the local grocery store is $2.88 for 2 pounds. At this rate, what is the cost of 5 pounds of grapes? (Image: digitalart / FreeDigitalPhotos.net)

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9) What comparison symbol can be placed in the circle to make the math statement true?

a.) <

b.) >

c.) =

10) What is a good estimate for 33% of 48?

a.) 6

b.) 24

c.) 12

d.) 16

11) A computer dealer was offering a weekend special on computer notebooks discounted at 20% off the original price. The original price of the notebook was $1,139. What was the sale price of the notebook? (Image: krishnan / FreeDigitalPhotos.net)

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12) James is purchasing a truck. The one he likes is priced at $31,275 with a $2500 rebate. The rebate is what percent of the original price of the truck? Express the answer rounded to the nearest whole percent.

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13) Peggy bought an ATV for $6200 and sold it for $7,130. Peggy sold the ATV for what percent of increase?

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14) Sharon bought a Rottweiler puppy at the pet store for $450. She also bought a stuffed toy for $12.99, puppy food for $39.99, and a collar for $5.79. The sales tax was 7%. What was the total price plus tax at checkout? Express the answer rounded to the nearest cent.

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15) Greg works for an equipment company and earns a monthly salary of $1,600 plus 8% commission on all sales over $10,000. If his monthly sales total $25,575, what are his total earnings for the month (salary + commission)?

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16) Shelly deposited $1,000 in a savings account that pays 6% interest compounded quarterly. How much money will she have in the account after two years? Express the answer rounded to the nearest cent.

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17) What is the median of the data?

a.) 2.97

b.) 2.19

c.) 3.51

d.) 3.11

18) What are the lower and upper quartiles?

a.) 1.75 and 3.13

b.) 1.87 and 4.32

c.) 2.81 and 4.93

d.) 2.19 and 3.92

19) What is the range and interquartile range? (Hint: Range = Highest Value – Lowest Value. Interquartile Range = UQ – LQ.)

a.) 3.18 and 1.73

b.) 3.18 and 2.12

c.) 3.18 and 3.18

d.) 3.18 and 1.38

20) Make a box-and-whiskers plot from the data collected in the previous problems. Be sure to plot the median, LQ, UQ, lower extreme, and upper extreme. Which box-and-whiskers plot matches the graph? State the letter of the correct answer.

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21) Stacia's track season lasts for ten weeks. She participates in the 100-meter hurdles, the 100-meter dash, and the 200-meter dash. The graph shows Stacia’s recorded times for the three events over the ten-week period. In which event did Stacia show the most improvement?

a.) 100-Meter Dash

b.) 200-Meter Dash

c.) 100-Meter Hurdles

d.) Stacia did not improve in any of the events.

22) Solve: –9 + 24 = ?

a.) 33

b.) 15

c.) –33

d.) –15

23) What is the difference between the absolute values of the two given numbers?

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24) Follow the order of operations to evaluate: 4 [2(3 + 7) – 2(8 – 5)]

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25) Compare the lengths of the smaller picture with its dilation (image). What is the scale factor comparing the smaller picture to the larger picture?

a.) 1 : 2

b.) 1 : 3

c.) 3 : 4

d.) 3 : 2

26) The vertices of the triangle are J(–4, –1), K(–5, 2), and L(–1, 5). Reflect the triangle across the y-axis and name the image J'K'L'. What are the coordinates of the image?

a.) J'(1, –4), K'(–2, –5), L'(–5, –1)

b.) J'(–1, 4), K'(2, 5), L'(5, 1)

c.) J'(4, 1), K'(5, –2), L'(1, –5)

d.) J'(4, –1), K'(5, 2), L'(1, 5)

27) The figure of the rainbow is translated from rainbow A to rainbow A'. Which notation denotes the translation correctly? State the letter of the correct answer.

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28) Stephanie's mother is buying her a dress for the Honors Banquet. She used a 25% coupon and paid $51 for the dress. This amount was 75% of the original price of the dress. What was the original price of the dress? (Image: Suat Eman / FreeDigitalPhotos.net)

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29) Solve the inequality for “x”. State the letter of the correct answer.

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30) Solve the inequality for “s”, and then graph the solution. Which graph represents the solution to the inequality? State the letter of the correct answer.

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31) Collect the like terms to simplify. State the letter of the correct answer.

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32) Find the x-and y-intercepts of 2x – 5y = 10. Use the x- and y-intercepts to graph the line. State the letter of the correct answer. (Hint: To find the y-intercept, let x = 0, and to find the x-intercept, let y = 0.)

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33) What is the slope of the line?

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34) Solve the system of equations. State the answer as an ordered pair.

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35) A surveillance helicopter reported a fire to the central dispatch. The dispatcher located the fire on a map grid and determined that the fire was 12 miles due east and 9 miles due north from central dispatch. The closest fire station was located at 4 miles due east and 3 miles due north from the central dispatch. Use the distance formula to determine the shortest distance between the fire station and the fire.

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36) The table shows the number of months required to build a house based on the size of the work crew. Which equation represents the information in the table? State the letter of the correct answer.

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37) Which parabola is the graph for the given equation? State the letter of the correct answer.

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38) Trent is ordering a Dodge Ram 1500 truck and must make the following choices for his vehicle: color, wheels, and fabric with trim. Refer to the picture to view Doug's choices. Based on these options, how many different ways could Douglas order his vehicle?

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39) From a group of 15, four people are chosen at random to receive a free cell phone and free service for a limited time. In how many ways can these people be chosen?

a.) 32,760

b.) 972,972,000

c.) 11,000,000

d.) 1365

40) Jennifer spins a spinner, and then tosses a coin. What is the probability of Jennifer spinning a number less than 5 and tossing heads on the coin?

a.) 1/5

b.) 1/2

c.) 9/10

d.) 2/5

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