Ratios and Proportions

SAT Subject Test in Math II · Learn by Concept

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SAT Subject Test in Math II › Ratios and Proportions

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1

Solve the proportion: $\frac{3x}{4} = \frac{8}{3}$

$\frac{32}{9}$

CORRECT

0

$\frac{1}{2}$

0

$\frac{2}{9}$

0

$\frac{9}{2}$

0

Explanation

Cross multiply the two fractions.

Divide by nine on both sides.

$\frac{9x}{9}=\frac{32}{9}$

The answer is: $\frac{32}{9}$

2

Solve the proportion: $\frac{2x}{9} = \frac{7}{3}$

$\frac{21}{2}$

CORRECT

$\frac{3}{2}$

0

$\frac{6}{7}$

0

$\frac{7}{6}$

0

$\frac{14}{3}$

0

Explanation

Cross multiply the two fractions.

Divide by six on both sides.

$\frac{6x }{6}= \frac{63}{6}$

The answer is: $\frac{21}{2}$

3

Solve the proportion: $\frac{x}{3} = \frac{2}{5}$

$\frac{6}{5}$

CORRECT

0

$\frac{15}{2}$

0

$\frac{5}{2}$

0

0

Explanation

Cross multiply both sides.

Simplify and solve for x.

$\frac{5x}{5}=\frac{6}{5}$

The answer is: $\frac{6}{5}$

4

Solve the ratio: $\frac{5}{9} = \frac{x}{6}$

$\frac{10}{3}$

CORRECT

$\frac{3}{10}$

0

$\frac{54}{5}$

0

$\frac{5}{54}$

0

$\frac{11}{9}$

0

Explanation

To solve the proportion, cross multiply.

Divide by 9 on both sides.

$\frac{30}{9}=\frac{9x}{9}$

Reduce the fractions.

The answer is: $\frac{10}{3}$

5

Determine the value of : $\frac{2x-2}{8} = \frac{8x-2}{3}$

$\frac{5}{29}$

CORRECT

$-\frac{5}{4}$

0

$-\frac{1}{3}$

0

$-\frac{5}{29}$

0

$-\frac{11}{29}$

0

Explanation

Cross multiply the fractions.

Simplify both sides.

Subtract on both sides.

Add 16 on both sides.

Divide by 58 on both sides.

$\frac{10}{58}= \frac{58x}{58}$

Reduce both fractions.

The answer is: $x = \frac{5}{29}$

6

Solve the proportion: $\frac{3x}{5} = \frac{1}{3}$

$\frac{5}{9}$

CORRECT

$\frac{5}{6}$

0

$\frac{3}{2}$

0

$\frac{2}{3}$

0

0

Explanation

Cross multiply both sides.

Divide by 9 on both sides.

$\frac{9x}{9}=\frac{5}{9}$

The answer is: $\frac{5}{9}$

7

Solve the proportion: $\frac{2x+3}{2} = \frac{1}{3}$

$-\frac{7}{6}$

CORRECT

0

0

$\frac{7}{6}$

0

$-\frac{1}{6}$

0

Explanation

To solve the proportion, cross multiply the terms.

Subtract 9 on both sides.

Divide by 6 on both sides.

$\frac{6x}{6}=\frac{-7}{6}$

The answer is: $-\frac{7}{6}$

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