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High School Math : High School Math

Study concepts, example questions & explanations for High School Math

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All High School Math Resources

8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #25 : How To Solve One Step Equations With Fractions In Pre Algebra

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

Solve for .

Possible Answers:

3.5

Correct answer:

Explanation:

To solve $7=\frac{1}{2}x$ , we need to isolate . That means we want all the numbers on one side and the on the other side.

For this problem, that means we need to get rid of $\frac{1}2{}$ on the right side. To divide by a fraction, we multiply by the reciprocal.

$\frac{2}{1}*7=\frac{1}{2}x*\frac{2}{1}$

$\frac{2*7}{1}=\frac{2}{2}x$

$\frac{14}{1}=1*x$

14=x

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Example Question #26 : How To Solve One Step Equations With Fractions In Pre Algebra

$10=\frac{1}{4}x$

Solve for .

Possible Answers:

$\frac{1}{40}$

$2\tfrac{1}{2}$

$10\tfrac{1}{4}$

Correct answer:

Explanation:

To solve $10=\frac{1}{4}x$ , we need to isolate . Therefore, we want all the numbers on one side and the on the other side.

For this problem, we need to get rid of $\frac{1}4{}$ on the right side. To divide by a fraction, we multiply by the reciprocal.

$\frac{4}{1}*10=\frac{1}{4}x*\frac{4}{1}$

$\frac{4*10}{1}*=\frac{4}{4}x$

40=x

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Example Question #27 : How To Solve One Step Equations With Fractions In Pre Algebra

Solve for if $x-\frac{7}{5}=\frac{5}{8}$ .

Possible Answers:

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

$x=\frac{8}{5}$

$x=\frac{81}{40}$

$x=\frac{38}{9}$

Correct answer:

$x=\frac{81}{40}$

Explanation:

To solve for we must get all of the constants on the other side of the equation as .

To do this in a problem where is being subtracted by a number, we must add the number to both sides of the equation.

In this case the number is $\frac{7}{5}$ so we add $\frac{7}{5}$ to each side of the equation: $x-\frac{7}{5}+\frac{7}{5}=\frac{5}{8}+\frac{7}{5}$

To add fractions we must first ensure that we have the same denominator.

To do this we must find the least common multiple of the denominators.

In this case the LCM is .

We then multiply $\frac{5}{8}*\frac{5}{5}$ and $\frac{7}{5}*\frac{8}{8}$ to get the same denominator for both fractions.

To multiply a fraction, multiply the top number of the first fraction by the top number of the second fraction and the bottom number of the first fraction by the bottom number of the second fraction.

$x=\frac{25}{40}+\frac{56}{40}$

We then add the numerators together and place the result over the new denominator.

$x=\frac{81}{40}$

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Example Question #28 : How To Solve One Step Equations With Fractions In Pre Algebra

$\frac{2}{7}x=18$

Solve for .

Possible Answers:

5.14

126

Correct answer:

Explanation:

Our goal here is to isolate . That means we want just on the left side.

For our problem, $\frac{2}{7}x=18$ , we need to get rid of the fraction. Dividing by a fraction is the same as multiplying by the reciprocal.

$\frac{2}{7}x=18$

$\frac{7}{2}*\frac{2}{7}x=18*\frac{7}{2}$

$\frac{14}{14}x=\frac{18*7}{2}$

$x=\frac{126}{2}$

x=63

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Example Question #29 : How To Solve One Step Equations With Fractions In Pre Algebra

$32=\frac{1}2{}x$

Solve for .

Possible Answers:

Correct answer:

Explanation:

When solving for , we want to isolate it. That means we want only on the right side of the equation.

For our given equation, $32=\frac{1}2{}x$ , we need to divide both sides by $\frac{1}{2}$ .

Dividing by a fraction is the same as multiplying by the reciprocal so this will look like:

$\frac{2}{1}*32=\frac{1}2{}x*\frac{2}{1}$

$\frac{2}{1}*\frac{32}{1}=\frac{1}2{}x*\frac{2}{1}$

$\frac{2*32}{1}=\frac{1*2}{2*1}x$

$\frac{64}{1}=\frac{2}{2}x$

64=x

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Example Question #30 : How To Solve One Step Equations With Fractions In Pre Algebra

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

Solve for .

Possible Answers:

$4\tfrac{1}{2}$

4.2

Correct answer:

Explanation:

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

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

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

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

x=2

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Example Question #31 : How To Solve One Step Equations With Fractions In Pre Algebra

$x=20*\frac{3}{2}$

Solve for .

Possible Answers:

$13\tfrac{2}{3}$

Correct answer:

Explanation:

$x=20*\frac{3}{2}$

$x=\frac{20}{1}*\frac{3}{2}$

$x=\frac{20*3}{1*2}$

$x=\frac{60}{2}$

x=30

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Example Question #381 : High School Math

$x=5*\frac{1}{5}$

What is ?

Possible Answers:

$5\tfrac{1}{5}$

Correct answer:

Explanation:

For this problem, multiply across on the right side:

$x=5*\frac{1}{5}$

$x=\frac{5}{1}*\frac{1}{5}=\frac{5}{5}=1$

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Example Question #382 : High School Math

$x=12*\frac{1}{3}$

What is ?

Possible Answers:

Correct answer:

Explanation:

To solve this problem, multiply across on the right side:

$x=12*\frac{1}{3}=\frac{12}{1}*\frac{1}{3}=\frac{12}{3}=4$

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Example Question #34 : How To Solve One Step Equations With Fractions In Pre Algebra

$\frac{2}{3}x=8$ .

Solve for .

Possible Answers:

$\frac{16}{3}$

Correct answer:

Explanation:

To divide both sides by a fraction, we multiply both sides by the reciprocal.

$\frac{3}{2}*\frac{2}{3}x=8*\frac{3}{2}$

$\frac{3*2}{2*3}x=\frac{8*3}{2}$

$\frac{6}{6}x=\frac{24}{2}$

$x=\frac{24}{2}$

x=12

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High School Math : High School Math

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #25 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #26 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #27 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #28 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #29 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #30 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #31 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #381 : High School Math

Example Question #382 : High School Math

Example Question #34 : How To Solve One Step Equations With Fractions In Pre Algebra

All High School Math Resources

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