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1. |
Express the ratio in simplest form.
number of shaded squares: total number of squares |
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A. |
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B. |
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C. |
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D. |
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Hint |
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2. |
Express the ratio 12 inches to 2 yards in simplest form. |
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A. |
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B. |
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C. |
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D. |
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3. |
If 1 yard equals 3 feet, 12 yards equals x feet. Write a proportion and solve. |
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A. |
36 feet |
B. |
4 feet |
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C. |
12 feet |
D. |
8 feet |
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Hint |
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4. |
A pentagon is a polygon with five sides. If pentagons ABCDE and HIJKL are similar, find the length of side JK. |
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A. |
12 m |
B. |
2 m |
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C. |
1.5 m |
D. |
3 m |
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Hint |
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5. |
A model plane has a scale of 1:75. If the length of the model is 7 inches, how long is the real plane? |
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A. |
5.25 inches |
B. |
52.5 inches |
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C. |
525 inches |
D. |
5,250 inches |
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Hint |
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6. |
A guy wire is attached to the top of a telephone pole and goes to the ground 8 feet from the base. When Jim stands under the guy wire so that his head touches it, he is 3 feet from where the wire goes into the ground. If Jim is 6 feet tall, how tall is the telephone pole? |
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A. |
16 feet |
B. |
12 feet |
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C. |
24 feet |
D. |
20 feet |
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Hint |
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7. |
A lakefront building that is 30 feet high casts a shadow on the water. How long is that shadow if a 16-foot high truck parked nearby casts an 8-foot shadow? |
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A. |
13 ft |
B. |
12 ft |
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C. |
15 ft |
D. |
9 ft |
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Hint |
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8. |
If the actual distance between two airports is 375 kilometers and the distance on a map is 8 centimeters, what is the scale for the map? |
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A. |
1:46,875 |
B. |
1:4,687.5 = 2:9,375 |
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C. |
1:468,750 |
D. |
1:4,687,500 |
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Hint |
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9. |
Graph  with vertices A(1, 2), B(4, 1), C(5, 3). Graph the image of with a scale factor of 2. |
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A. |
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B. |
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C. |
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D. |
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10. |
Find the coordinates of the image of the point A(3, 9) for a dilation with the scale factor of  |
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A. |
A'(4.5, 13.5) |
B. |
A'(2, 6) |
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C. |
A'(6, 18) |
D. |
A'(9, 27) |
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Hint |
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11. |
A restaurant claims that two slices of their Grande Pizza will serve 1 person. According to this claim, how many people would be served by 36 slices of Grande Pizza? |
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A. |
18 people |
B. |
36 people |
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C. |
20 people |
D. |
15 people |
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Hint |
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12. |
The scale on a map reads inch = 10 miles. How far apart are two cities if their map distance is 3 inches? |
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A. |
65 miles |
B. |
55 miles |
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C. |
70 miles |
D. |
60 miles |
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Hint |
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13. |
The table compares the age of a cat to the age of a human. Find the rate of change in human years between a cat’s age of 1 and 6? |
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A. |
5 human years per year |
B. |
5.7 human years per year |
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C. |
4 human years per year |
D. |
4.5 human years per year |
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Hint |
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14. |
Mitchell is on a diet. The table shows his weight from the start of the diet. Find the rate of change in his weight from the third week to the seventh week. |
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A. |
-2 pounds per week |
B. |
-1 pound per week |
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C. |
-1.5 pounds per week |
D. |
-1.4 pounds per week |
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Hint |
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15. |
Find the slope of the line. |
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A. |
-4 |
B. |
4 |
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C. |
- |
D. |
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Hint |
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16. |
The graph shows the fees charged by a plumber. Interpret the meaning of the slope as a rate of change. |
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A. |
The plumber charges $80 for each hour worked. |
B. |
The plumber charges $80 for each job. |
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C. |
The plumber charges $40 for each hour worked. |
D. |
The plumber charges $40 for each job. |
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Hint |
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