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High School Math : Algebraic Equations

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Example Questions

Example Question #8 : How To Solve One Step Equations With Fractions In Pre Algebra

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

Solve for .

Possible Answers:

$2\tfrac{1}{3}$

Correct answer:

Explanation:

To solve $\frac{x}{3}=7$ , we need to isolate . That means we need to multiply both sides by .

$(\frac{x}{3})*3=(7)*3$

x=7*3

x=21

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Example Question #9 : How To Solve One Step Equations With Fractions In Pre Algebra

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

Solve for .

Possible Answers:

$\frac{3}{8}$

$4\tfrac{2}{3}$

$2\tfrac{2}{3}$

Correct answer:

Explanation:

To solve $x*\frac{2}{3}=4$ , we need to isolate . That means we need to divide by $\frac{2}3{}$ .

Remember, dividing by a fraction is the same as multiplying by the reciprocal. The reciprocal of $\frac{2}{3}$ is $\frac{3}{2}$ .

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

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

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

From here you can either plug this into your calculator or work in pieces:

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

$x=\frac{12}{2}$

x=6

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Example Question #10 : How To Solve One Step Equations With Fractions In Pre Algebra

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

What is ?

Possible Answers:

Correct answer:

Explanation:

To get rid of a fraction, we multiply by the reciprocal. So we take $\frac{1}{2}x=6$ and multiply both sides by $\frac{2}{1}$ :

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

$\frac{2}{1}*\frac{1}{2}x=6*\frac{2}{1}$

$\frac{2}{1}$ and $\frac{1}{2}$ cancel each other out, so we are left with $x=6*\frac{2}{1}$ or x=12 .

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Example Question #11 : How To Solve One Step Equations With Fractions In Pre Algebra

$\frac{3}{5}x=9$

What is ?

Possible Answers:

$5\tfrac{2}{5}$

Correct answer:

Explanation:

To get rid of a fraction, we multiply by the reciprocal. So we take $\frac{3}{5}x=9$ and multiply both sides by $\frac{5}{}3}$ :

$\frac{3}{5}x=9$

$\frac{5}{3}*\frac{3}{5}x=9*\frac{5}{3}$

Notice that $\frac{5}{}3}$ and $\frac{3}{5}$ cancel out, leaving us with $x=9*\frac{5}{3}$ .

At this point, you can either plug $9*\frac{5}{3}$ into your calculator, or you can solve this in pieces.

We can do some manipulation to get: $9*\frac{5}{3}=\frac{9*5}{3}=\frac{9}{3}*5$

$\frac{9}{3}=3$ , so we can plug that into $x=\frac{9}{3}*5$ .

$x=\frac{9}{3}*5$

x=3*5=15

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Example Question #11 : How To Solve One Step Equations With Fractions In Pre Algebra

$\frac{1}{3}x=7$

What is ?

Possible Answers:

$\frac{7}{3}$

$7\tfrac{1}{3}$

Correct answer:

Explanation:

To get rid of a fraction, we multiply by the reciprocal, so we take $\frac{1}{3}x=7$ and multiply both sides by $\frac{3}{1}$ :

$\frac{1}{3}x=7$

$\frac{3}{1}*\frac{1}{3}x=7*\frac{3}{1}$

Since $\frac{3}{1}*\frac{1}{3}=1$ , we can simplify that equation to $x=7*\frac{3}{1}$ .

Therefore, x=7*3=21 .

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Example Question #12 : How To Solve One Step Equations With Fractions In Pre Algebra

$\frac{1}{9}x=4$

What is ?

Possible Answers:

$\frac{4}{9}$

Correct answer:

Explanation:

To get rid of a fraction, we multiply by the reciprocal. So we take $\frac{1}{9}x=4$ and multiply both sides by $\frac{9}{1}$ :

$\frac{1}{9}x=4$

$\frac{9}{1}*\frac{1}{9}x=4*\frac{9}{1}$

Since $\frac{9}{1}*\frac{1}{9}=1$ , we can simplify that equation to $x=4*\frac{9}{1}$ .

Therefore, x=4*9=36 .

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Example Question #12 : How To Solve One Step Equations With Fractions In Pre Algebra

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

What is

Possible Answers:

$\frac{1}{2}$

Correct answer:

Explanation:

To get rid of the $\frac{x}{4}$ , we multiply both sides by :

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

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

x=2*4

x=8

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Example Question #11 : How To Solve One Step Equations With Fractions In Pre Algebra

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

What is ?

Possible Answers:

Correct answer:

Explanation:

To solve this problem we need to reduce $x=\frac{8}{2}$ . Both the top and the bottom of $\frac{8}{2}$ are divisible by , so we can reduce it to $\frac{4}{1}$ . Anything divided by is itself, so $x=\frac{8}{2}$ is the same as x=4 .

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Example Question #81 : How To Solve One Step Equations

$x=9*\frac{2}{3}$

What is ?

Possible Answers:

$\frac{11}{3}$

Correct answer:

Explanation:

To solve, multiply the right side:

$x=9*\frac{2}{3}$

$x=\frac{18}{3}$

x=6

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Example Question #371 : High School Math

$x=13*\frac{1}{2}$

What is ?

Possible Answers:

$6\tfrac{1}{2}$

$7\tfrac{1}{2}$

Correct answer:

$6\tfrac{1}{2}$

Explanation:

To solve this problem, multiply across: $x=13*\frac{1}{2}=\frac{13}{1}*\frac{1}{2}=\frac{13}{2}$ .

is a prime number, so we cannot reduce further. From here, covert $\frac{13}{2}$ into a mixed fraction: $x=6\tfrac{1}{2}$

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High School Math : Algebraic Equations

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #8 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #9 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #10 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #11 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #11 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #12 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #12 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #11 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #81 : How To Solve One Step Equations

Example Question #371 : High School Math

All High School Math Resources

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