Solve and choose the answer to test your knowledge.
Multiple Choice: Select the correct answer on the list.
1. If 10x + 2 = 7, what is the value of 2x?
o -0.5
o 0.5
o 1
o 5
o 10
2. A long distance runner does a first lap around a track in exactly 50 seconds. As she tires, each subsequent lap takes 20% longer than the previous one. How long does she take to run 3 laps?
o 182 seconds
o 160 seconds
o 180 seconds
o 72 seconds
o 150 seconds
3. A number N is multiplied by 3. The result is the same as when N is divided by 3. What is the value of N?
o -1
o 0
o 3
o 1
o -3
4. Which of the following equations satisfies the five sets of numbers shown in the above table?
o y = 2x
o y = x3 + 4
o y = 2x2 = 7
o y = 3x + 1
o y = 6x
5. John buys 100 shares of stock at $100 per share. The price goes up by 10% and he sells 50 shares. Then, prices drop by 10% and he sells his remaining 50 shares. How much did he get for the last 50?
o $5050
o $4900
o $5000
o $5500
o $4950
6. The sides of a triangle are equal to integral numbers of units. Two sides are 4 and 6 units long, respectively; what is the minimum value for the triangle's perimeter?
o 11 units
o 13 units
o 10 units
o 9 units
o 12 units
7.
Herbert plans to use the earnings from his lemonade stand according to the table above, for the first month of operations. If he buys $70 worth of lemons, how much profit does he take home?
o $15
o $30
o $20
o $35.50
o $40
8. A teacher has 3 hours to grade all the papers submitted by the 35 students in her class. She gets through the first 5 papers in 30 minutes. How much faster does she have to work to grade the remaining papers in the allotted time?
o 20%
o 10%
o 15%
o 25%
o 30%
9.
A sailor judges the distance to a lighthouse by holding a ruler at arm's length and measuring the apparent height of the lighthouse. He knows that the lighthouse is actually 60 feet tall. If it appears to be 3 inches tall when the ruler is held 2 feet from his eye, how far away is it?
o 240 feet
o 60 feet
o 120 feet
o 480 feet
o 960 feet
10. If x2 - 4 = 45, then x could be equal to
o 9
o -7
o 5
o -4
o 3
11. Determine the volume of a rectangular box with a length of 5 inches, a height of 7 inches, and a width of 9 inches.
o 315 in.3
o 445.095 in.3
o 45 in.3
o 35 in.3
o 21 in.3
12.What is the greatest integer value of y for which 5y - 20 < 0?
o 5
o 1
o 4
o 2
o 3
13.Which equation is represented by the graph shown below?
o y = -5/3x - 2
o y = 5/3x + 2
o y = -5/3x + 2
o y = 5/3x - 2
o y = 5x + 2
14.The right circular cylinder shown in the figure above has a height of 10 units and a radius of 1 unit. Points O and P are the centers of the top and bottom surfaces, respectively. A slice is cut from the cylinder as shown, so that the angle at the top, O, is 60 degrees, and the angle at the bottom, P, is 60 degrees. What is the volume of the slice?
o 31.4 units
o 10.47 units
o 7.85 units
o 5.23 units
o 15.7 units
15.For the number set {7, 12, 5, 16, 23, 44, 18, 9, Z}, which of the following values could be equal to Z if Z is the median of the set?
o 14
o 12
o 17
o 11
o 21
Answers:
