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High School Math : High School Math

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #67 : How To Solve One Step Equations With Integers In Pre Algebra

Solve for when 5x=90

Possible Answers:

x=18

x=80

x=35

x=15

Correct answer:

x=18

Explanation:

To solve for , divide both sides of the equation by :

$\frac{5x}{5}=\frac{90}{5}$

x=18

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Example Question #68 : How To Solve One Step Equations With Integers In Pre Algebra

Solve for when x-918=1332

Possible Answers:

x=2575

x=2250

x=289

x=1275

Correct answer:

x=2250

Explanation:

To solve for , add 918 to both sides of the equation:

x-918+918=1332+918

x=2250

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Example Question #62 : How To Solve One Step Equations With Integers In Pre Algebra

Solve for when $\frac{x}{7}=9$

Possible Answers:

x=9

x=54

x=63

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

Correct answer:

x=63

Explanation:

To solve for , multiply both sides of the equation by :

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

$x=9\cdot 7$

x=63

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Example Question #63 : How To Solve One Step Equations With Integers In Pre Algebra

Solve for when x+15=97

Possible Answers:

x=82

x=78

x=102

x=86

Correct answer:

x=82

Explanation:

To solve for , subtract from each side of the equation:

x+15-15=97-15

x=97-15

x=82

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Example Question #351 : High School Math

Solve for if 7x=91 .

Possible Answers:

x=13

x=98

x=17

x=7

x=637

Correct answer:

x=13

Explanation:

Divide each side of the equation by to isolate x: $\frac{7x}{7}=\frac{91}{7}$

The s on the left side of the equation cancel to leave by itself.

$\frac{91}{7}=13$

The answer is therefore x=13 .

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Example Question #352 : High School Math

Solve for if x-13=32 .

Possible Answers:

x=19

x=43

x=32

x=45

Correct answer:

x=45

Explanation:

To solve for we must get all of the numbers 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 so we add to each side of the equation to make it look like this x-13+13=32+13

The s cancel on the left side and leave by itself.

Then we perform the necessary addition to get the answer of x=32+13

The answer is x=45 .

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Example Question #1 : How To Solve One Step Equations With Fractions In Pre Algebra

Solve for .

$p-\frac{2}{5}=3$

Possible Answers:

$p=\frac{13}{5}$

p=3

$p=\frac{17}{5}$

p=4

Correct answer:

$p=\frac{17}{5}$

Explanation:

Perform the same operation on both sides of the equation.

$p-\frac{2}{5}=3$

It will be easier to write the right side of the equation as a fraction.

$3=\frac{15}{5}$

$p-\frac{2}{5}=\frac{15}{5}$

Now, we add two-fifths to both sides of the equation.

$p-\frac{2}{5}+\frac{2}{5}=\frac{15}{5}+\frac{2}{5}$

$p=\frac{17}{5}$

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Example Question #2 : How To Solve One Step Equations With Fractions In Pre Algebra

is % of what number?

Possible Answers:

450

200

255

Correct answer:

200

Explanation:

To find the number of which is %, use this equation with % expressed as a fraction coefficient:

$\frac{15}{100}x = 30$

To solve this equation, multiply both sides of the equation by the reciprocal of the fraction on the left side, then reduce the result to simplest terms.

$(\frac{15}{100}x) \times \frac{100}{15} = (30) \times \frac{100}{15}$

$\rightarrow x = \frac{3000}{15} \rightarrow x = 200$

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Example Question #1 : How To Solve One Step Equations With Fractions In Pre Algebra

Solve the equation for .

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

Possible Answers:

$\small x=9$

$\small x=5$

$\small x=14$

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

Correct answer:

$\small x=14$

Explanation:

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

Multiply both sides of the equation by $\small 2$ .

$\small \frac{x}{2}(2)=7(2)$

$\small x=14$

We can check our answer by plugging it back into the equation.

$\frac{14}{2}=?$

$\frac{14}{2}=7$

We know that our answer works.

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Example Question #3 : How To Solve One Step Equations With Fractions In Pre Algebra

Solve for if $x+\frac{1}{4}=\frac{3}{8}$

Possible Answers:

$x=\frac{1}{8}$

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

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

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

Correct answer:

$x=\frac{1}{8}$

Explanation:

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

To do this in a problem where a number is being added to , we must subtract the number from both sides of the equation.

In this case the number is $\frac{1}{4}$ so we subtract $\frac{1}{4}$ from each side of the equation to make it look like this $x+\frac{1}{4}-\frac{1}{4}=\frac{3}{8}-\frac{1}{4}$

To subtract fractions we must first ensure that we have the same denominator which is the bottom part of the fraction.

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

The least common multiple is the smallest number that multiples of both of the denominators multiply to.

In this case the LCM is

We then multiply the numerator and denominator of $\frac{1}{4}$ by to get the same denominator because anything divided by itself is one so the fractions maintain their same value as the numbers change into the format we need to determine the answer.

To multiply a fraction you 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 so it would look like this $\frac{1}{4}*\frac{2}{2}=\frac{2}{8}$

After doing this we then subtract the first numerator (top part of the fraction) from the second numerator and place the result over the new denominator $x=\frac{3}{8}-\frac{2}{8}$

The final answer is $x=\frac{1}{8}$

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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 #67 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #68 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #62 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #63 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #351 : High School Math

Example Question #352 : High School Math

Example Question #1 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #2 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #1 : How To Solve One Step Equations With Fractions In Pre Algebra

Example Question #3 : How To Solve One Step Equations With Fractions In Pre Algebra

All High School Math Resources

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