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Pre-Algebra : One-Step Equations

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Example Questions

Example Question #6 : One Step Equations With Fractions

Solve for n:

$\frac{3}{4}n=9$

Possible Answers:

$n=\frac{33}{4}$

$n=\frac{27}{4}$

n=12

n=6

Correct answer:

n=12

Explanation:

$\frac{3}{4}n=9$

$\frac{4}{3}\left(\frac{3}{4}\cdot n\right)=\left(\frac{4}{3}\right)\left(9 \right )$

$n=\frac{36}{3}=12$

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Example Question #71 : One Step Equations

Solve:

$\frac{6x}{5}= 4$

Possible Answers:

$\frac{20}{6}$

$\frac{24}{5}$

$\frac{10}{3}$

$\frac{30}{4}$

Correct answer:

$\frac{10}{3}$

Explanation:

Eliminate the denominator by multiplying both sides by 5:

$6x=5\cdot 4$

6x=20

Isolate the variable by dividing both sides by 6:

$\frac{6x}{6}=\frac{20}{6}$

$1x=\frac{20}{6}$

Reduce the fraction to it lowest terms by dividing 20 and 6 by 2:

$x= \frac{10}{3}$

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Example Question #72 : One Step Equations

Solve for :

$\frac{3}{4}x=\frac{6}{3}$

Possible Answers:

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

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

$x=\frac{10}{3}$

x=5

Correct answer:

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

Explanation:

$\frac{3}{4}x=\frac{6}{3}$

Divide both sides by $\frac{3}{4}$ :

$\frac{\frac{3}{4}x}{\frac{3}{4}}=\frac{\frac{6}{3}}{\frac{3}{4}}$

$x=\frac{\frac{6}{3}}{\frac{3}{4}}$

Simplify:

$\frac{\frac{6}{3}}{\frac{3}{4}}=\frac{6}{3}\times \frac{4}{3}=\frac{24}{9}=\frac{8}{3}=x$

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Example Question #73 : One Step Equations

Solve for :

$\frac{3}{4}x=36$

Possible Answers:

$\small 16$

$\small 48$

$\small 27$

$\small 18$

$\small 0$

Correct answer:

$\small 48$

Explanation:

To get x by itself multiply both sides by 4 to get

3x=4*36 , then divide both sides by 3 to get

$x=\left(\frac{4*36}{3}\right)$

When you simplify, you can cancel the three on bottom with the 3 in the numerator because it is a factor of 36 leaving you with:

x=4*12

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Example Question #11 : One Step Equations With Fractions

Solve for :

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

Possible Answers:

$\frac{16}{9}$

$\frac{3}{4}$

$\frac{4}{3}$

Correct answer:

$\frac{16}{9}$

Explanation:

The goal is to isolate x so to solve this you will first multiple both sides by 4

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

This gives you:

$3x=\frac{16}{3}$

You must then divide both sides by 3

$\frac{3x}{3}=\frac{16}{3}*\frac{1}{3}$

you then get your answer:

$x=\frac{16}{9}$

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Example Question #75 : One Step Equations

Solve for :

$\small \frac{3}{5}x=12$

Possible Answers:

$\small \frac{36}{5}$

$\small 12$

$\small \frac{3}{5}$

$\small 20$

$\small 16$

Correct answer:

$\small 20$

Explanation:

To solve this equation, isolate on one side.

First, move the fraction to the other side by multiplying by its reciprocal.

$\small \frac{5}{3}*\frac{3}{5}x = \frac{12}{1}*\frac{5}{3}$

$\small x = \frac{60}{3}$

Next, simplify the complex fraction.

$\small x=20$

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Example Question #11 : One Step Equations With Fractions

Solve for :

$x + \frac{1}{2} = \frac{3}{2}$

Possible Answers:

$\frac{3}{4}$

$\frac{2}{3}$

Correct answer:

Explanation:

The goal is to isolate the variable on one side.

$x + \frac{1}{2} = \frac{3}{2}$

The opposite operation of addition is subtraction so subtract $\frac{1}{2}$ from each side:

$x + \frac{1}{2} - \frac{1}{2} = \frac{3}{2} - \frac{1}{2}$

Simplifying, we get the solution:

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

Finally, reducing to simplest terms:

x = 1

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Example Question #12 : One Step Equations With Fractions

Solve for :

$x - \frac{3}{4} = \frac{7}{4}$

Possible Answers:

$\frac{5}{2}$

$\frac{21}{4}$

$-\frac{5}{2}$

Correct answer:

$\frac{5}{2}$

Explanation:

The goal is to isolate the variable on one side.

$x - \frac{7}{4} = \frac{3}{4}$

The opposite operation of subtraction is addition so add $\frac{7}{4}$ to each side:

$x - \frac{7}{4} + \frac{7}{4} = \frac{3}{4} + \frac{7}{4}$

Simplifying, we get the final solution:

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

Reducing the fraction we obtain the final solution:

$x = \frac{5}{2}$

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Example Question #78 : One Step Equations

Solve for :

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

Possible Answers:

12.75

Correct answer:

Explanation:

Explanation:

Isolate the variable to one side.

Multiply each side by $\frac{3}{4}$ :

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

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

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Example Question #79 : One Step Equations

Solve for ""

$\frac{1}{6}x=10$

Possible Answers:

x=10

x=40

x=60

x=2

x=30

Correct answer:

x=60

Explanation:

Because of the fraction, you must mulitply each side by 6, removing the $\frac{1}{6}$ .

$6\left(\frac{1}{6} \right )x=10\cdot6$

1x=60

The problem then reads x=60 .

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Pre-Algebra : One-Step Equations

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #6 : One Step Equations With Fractions

Example Question #71 : One Step Equations

Example Question #72 : One Step Equations

Example Question #73 : One Step Equations

Example Question #11 : One Step Equations With Fractions

Example Question #75 : One Step Equations

Example Question #11 : One Step Equations With Fractions

Example Question #12 : One Step Equations With Fractions

Example Question #78 : One Step Equations

Example Question #79 : One Step Equations

All Pre-Algebra Resources

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