Mathematical Relationships

Practice Questions

SAT Subject Test in Math I › Mathematical Relationships

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1

varies directly with and inversely with the square root of . Find values for and that will give , for a constant of variation .

2

The number of slices of pizza you get varies indirectly with the total number of people in the restaurant. If you get slices when there are people, how many slices would you get if there are people?

3

If an object is hung on a spring, the elongation of the spring varies directly as the mass of the object. A 20 kg object increases the length of a spring by exactly 7.2 cm. To the nearest tenth of a centimeter, by how much does a 32 kg object increase the length of the same spring?

4

varies inversely as the square root of . If , then . Find if (nearest tenth, if applicable).

5

Sarah notices her map has a scale of . She measures between Beaver Falls and Chipmonk Cove. How far apart are the cities?

6

Sarah notices her map has a scale of . She measures between Beaver Falls and Chipmonk Cove. How far apart are the cities?

7

If an object is hung on a spring, the elongation of the spring varies directly as the mass of the object. A 20 kg object increases the length of a spring by exactly 7.2 cm. To the nearest tenth of a centimeter, by how much does a 32 kg object increase the length of the same spring?

8

x varies inversely with y. When x=10, y=6. When x=3, what is y?

9

The number of slices of pizza you get varies indirectly with the total number of people in the restaurant. If you get slices when there are people, how many slices would you get if there are people?

10

varies inversely with and the square root of . When and , . Find when and .

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