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Algebra 1 : Proportions

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Example Question #21 : Proportions

Solve for .

$\frac{1}{x}=\frac{7}{9}$

Possible Answers:

$\frac{7}{9}$

$\frac{18}{19}$

$\frac{9}{7}$

Correct answer:

$\frac{9}{7}$

Explanation:

Let's cross multiply.

$\frac{1}{x}=\frac{7}{9}$

We have

$\\7\cdot x=1\cdot 9\\7x=9$ .

Divide both sides by , we get

$x=\frac{9}{7}$ .

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Example Question #1151 : Linear Equations

Solve for .

$3x=\frac{5}{6}$

Possible Answers:

$\frac{5}{6}$

$\frac{18}{5}$

$\frac{6}{5}$

$\frac{7}{9}$

$\frac{5}{18}$

Correct answer:

$\frac{5}{18}$

Explanation:

Let's cross multiply.

$3x=\frac{5}{6}$

We have

$\\3x\cdot 6=5 \\18x=5$ .

Divide both sides by , we get

$x=\frac{5}{18}$ .

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Example Question #21 : Proportions

Solve for :

$4=\frac{9}{5x}$

Possible Answers:

$\frac{9}{5}$

$\frac{5}{9}$

$\frac{20}{9}$

$\frac{9}{20}$

$\frac{9}{4}$

Correct answer:

$\frac{9}{20}$

Explanation:

Let's cross multiply.

$4=\frac{9}{5x}$

We have

$\\4\cdot 5x=9\\20x=9$ .

Divide both sides by , we have

$x=\frac{9}{20}$ .

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Example Question #24 : Proportions

Solve for .

$\frac{1}{x}=3$

Possible Answers:

$\frac{1}{2}$

$\frac{2}{3}$

$\frac{1}{3}$

Correct answer:

$\frac{1}{3}$

Explanation:

Let's cross multiply.

$\frac{1}{x}=3$

We have

3x=1 .

Divide both sides by , we have

$x=\frac{1}{3}$ .

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Example Question #21 : Proportions

Solve for .

$\frac{1}{1+x}=2$

Possible Answers:

$-\frac{1}{2}{}$

$\frac{1}{2}$

$\frac{1}{3}$

Correct answer:

$-\frac{1}{2}{}$

Explanation:

Let's cross multiply and distribute the .

$\frac{1}{1+x}=2$

1=2(1+x)

We have 2x+2=1 .

Subtract both sides by and divide both sides by .

2x=1-2

2x=-1

$x=\frac{-1}{2}$

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Example Question #26 : Proportions

Solve for .

$\frac{x+1}{2}=4$

Possible Answers:

Correct answer:

Explanation:

Let's cross multiply.

$\frac{x+1}{2}=4$

We have

$2\cdot 4=x+1$

x+1=8 .

Subtract both sides by , we have

x=7 .

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Example Question #27 : Proportions

Solve for .

$\frac{1}{2}=\frac{5}{x+7}$

Possible Answers:

Correct answer:

Explanation:

Let's cross multiply.

$\frac{1}{2}=\frac{5}{x+7}$

We have

$5\cdot 2=1(x+7)$

10=x+7 .

Subtract both sides by , we have

x=3 .

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Example Question #28 : Proportions

Solve for .

$\frac{2}{3}=\frac{x+4}{x}$

Possible Answers:

$\frac{5}{12}$

$\frac{12}{5}$

Correct answer:

Explanation:

Let's cross multiply.

$\frac{2}{3}=\frac{x+4}{x}$

We have

$3(x+4)=2\cdot x$

Remember to distribute the .

3x+12=2x .

Subtract both sides by .

We now have x+12=0 .

Then subtract on both sides, we have x=-12 .

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Example Question #21 : Proportions

Solve for .

$\frac{7}{x}=\frac{6}{2x+1}$

Possible Answers:

$\frac{-7}{4}$

$\frac{4}{7}$

$\frac{-7}{8}$

$\frac{-8}{7}$

Correct answer:

$\frac{-7}{8}$

Explanation:

Let's cross multiply.

$\frac{7}{x}=\frac{6}{2x+1}$

We have

$7(2x+1)=6\cdot x$

Remember to distribute the .

14x+7=6x .

Then we subtract on both sides to get 8x+7=0 .

Then subtract both sides by , we have

$x=\frac{-7}{8}$ .

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Example Question #30 : Proportions

Find : $\frac{x+1}{x-1}=\frac{6}{5}$

Possible Answers:

Correct answer:

Explanation:

To solve this problem, cross multiply.

5(x+1)=6(x-1)

5x+5=6x-6

5=x-6

11=x

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Algebra 1 : Proportions

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #21 : Proportions

Example Question #1151 : Linear Equations

Example Question #21 : Proportions

Example Question #24 : Proportions

Example Question #21 : Proportions

Example Question #26 : Proportions

Example Question #27 : Proportions

Example Question #28 : Proportions

Example Question #21 : Proportions

Example Question #30 : Proportions

All Algebra 1 Resources

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