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1. John drives from his house to a beach 150 miles away, and at the end of the day drives home. If he drives at an average of 50 miles per hour, how long does the round trip take?
2. If 4x + 10 = 34, then x - 4 =
3. What is the slope of 3x + 4y = 24?
4. A line segment containing the points (0, 0) and (12, 6) also contains:
5. If y = 6x + 4 and 6x + 8 = 44, then y =
6. If 5a = 20b, then b/a =
7. If Jane has 5 pairs of pants and 7 shirts, how many different combinations of pants and shirts are possible?
8. 18 is approximately what percent of 44?
9. If the median of x consecutive odd integers is 9, then the average is:
10. If a cube has a volume of 64, the perimeter of one face of the cube is:
Answer Key
1. C. The trip will be 300 miles in total. Divide the total distance by the speed in miles per hour to determine the duration of the trip.
2. D. Solve the first equation for x, and then substitute the value in the second equation.
3. A. The equation for slope is y = mx + b, in which m is slope.
4. C. The line will have an x-intercept of zero and a slope of 2, so it will pass through points in which the x-coordinate is twice as much as the y-coordinate.
5. D. Solve the second equation for x, and then substitute the value for x into the first equation.
6. B. Substitute any values for a and b that make the first equation correct, and then determine the ratio between a and b.
7. D. For each pair of pants, there are seven different combinations: 5 x 7 = 35.
8. A. The problem can be solved with the following equation: 18/44 = x/100
9. B. The median of a set is the value that is in the middle when the entire set is arranged from least to greatest. In this set, then, the median will be the same as the average, because the values on either side of the median will be the same distance from the median, as for instance: 1, 3, 5, in which the median and average are both 3.
10. D. In a cube, the length, width, and height will be the same, and so they will be the cube root of 64, or 4. Each side, then, will be a square with both length and width of four, and so the perimeter will be 16 for each side.
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