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

Solve for when x-71=64 $\displaystyle x-71=64$

Possible Answers:

x=132 $\displaystyle x=132$

x=151 $\displaystyle x=151$

x=135 $\displaystyle x=135$

x=-7 $\displaystyle x=-7$

Correct answer:

x=135 $\displaystyle x=135$

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 $\displaystyle 71$ so we add $\displaystyle 71$ to each side of the equation to make it look like this

$\displaystyle x-71+71=64+71$

The $\displaystyle 71$'s cancel on the left side and leave by itself

x=64+71 $\displaystyle x=64+71$

Then we perform the necessary addition to get the answer of x=135 $\displaystyle x=135$.

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Example Question #181 : Pre Algebra

Solve for when $\displaystyle x+93=151$.

Possible Answers:

x=58 $\displaystyle x=58$

x=93 $\displaystyle x=93$

x=51 $\displaystyle x=51$

x=244 $\displaystyle x=244$

Correct answer:

x=58 $\displaystyle x=58$

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 a number is being added to , we must subtract the number from both sides of the equation.

In this case the number is $\displaystyle 93$ so we subtract $\displaystyle 93$ from each side of the equation to make it look like this

$\displaystyle x+93-93=151-93$

The $\displaystyle 93$'s on the left side cancel to get

$\displaystyle x=151-93$

Then we perform the necessary subtraction to get the answer of x=58 $\displaystyle x=58$.

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Example Question #341 : High School Math

Solve for $\displaystyle p$:

4=7-p $\displaystyle 4=7-p$

Possible Answers:

p=0 $\displaystyle p=0$

p=2 $\displaystyle p=2$

p=3 $\displaystyle p=3$

p=1 $\displaystyle p=1$

Correct answer:

p=3 $\displaystyle p=3$

Explanation:

4=7-p $\displaystyle 4=7-p$

$\displaystyle 4+p=7-p+p$

$\displaystyle 4+p-4=7-4$

p=3 $\displaystyle p=3$

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Example Question #91 : Algebraic Equations

Solve for $\displaystyle x$.

$\displaystyle x - 3 = 12$

Possible Answers:

There are infinite solutions

x = 15 $\displaystyle x = 15$

There is no solution

x = 9 $\displaystyle x = 9$

x = 36 $\displaystyle x = 36$

Correct answer:

x = 15 $\displaystyle x = 15$

Explanation:

When solving a one-step equation it is important to remember to isolate $\displaystyle x$ by performing the inverse operations. Note that in our original equation, $\displaystyle 3$ is being added to $\displaystyle x$. Thus, we want to subtract $\displaystyle 3$ from both sides to do the inverse operation.

Then, $\displaystyle x - 3 + 3 = 12 + 3$.

So, x = 15 $\displaystyle x = 15$

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Example Question #342 : High School Math

x+15=6 $\displaystyle x+15=6$

Solve for $\displaystyle x$.

Possible Answers:

$\displaystyle -9$

$\displaystyle -21$

$\displaystyle 21$

$\frac{2}{5}$ $\displaystyle \frac{2}{5}$

$\displaystyle 9$

Correct answer:

$\displaystyle -9$

Explanation:

To solve x+15=6 $\displaystyle x+15=6$, we need to subtract $\displaystyle 15$ from both sides.

$\displaystyle x+15-15=6-15$

x=6-15 $\displaystyle x=6-15$

x=-9 $\displaystyle x=-9$

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Example Question #343 : High School Math

x+5=34 $\displaystyle x+5=34$

Solve for $\displaystyle x$.

Possible Answers:

$\displaystyle 29$

$\frac{34}{5}$ $\displaystyle \frac{34}{5}$

$\displaystyle 39$

170 $\displaystyle 170$

$\displaystyle 24$

Correct answer:

$\displaystyle 29$

Explanation:

To solve x+5=34 $\displaystyle x+5=34$, subtract $\displaystyle 5$ from both sides.

$\displaystyle x+5-5=34-5$

x=34-5 $\displaystyle x=34-5$

x=29 $\displaystyle x=29$

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Example Question #344 : High School Math

Solve for when x+9=32 $\displaystyle x+9=32$

Possible Answers:

x=23 $\displaystyle x=23$

x=21 $\displaystyle x=21$

x=41 $\displaystyle x=41$

x=39 $\displaystyle x=39$

Correct answer:

x=23 $\displaystyle x=23$

Explanation:

To solve for , subtract $\displaystyle 9$ from both sides of the equation:

$\displaystyle x+9-9=32-9$

x=32-9 $\displaystyle x=32-9$

x=23 $\displaystyle x=23$

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Example Question #345 : High School Math

Solve for when $\frac{x}{16}=4$ $\displaystyle \frac{x}{16}=4$

Possible Answers:

x=4 $\displaystyle x=4$

x=64 $\displaystyle x=64$

x=48 $\displaystyle x=48$

x=8 $\displaystyle x=8$

Correct answer:

x=64 $\displaystyle x=64$

Explanation:

To solve for , multiply both sides of the equation by $\displaystyle 16$:

$\frac{x}{16}\cdot 16=4\cdot 16$ $\displaystyle \frac{x}{16}\cdot 16=4\cdot 16$

$x=4\cdot 16$ $\displaystyle x=4\cdot 16$

x=64 $\displaystyle x=64$

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Example Question #346 : High School Math

Solve for when x-18=72 $\displaystyle x-18=72$

Possible Answers:

x=80 $\displaystyle x=80$

x=54 $\displaystyle x=54$

x=75 $\displaystyle x=75$

x=90 $\displaystyle x=90$

Correct answer:

x=90 $\displaystyle x=90$

Explanation:

To solve for , add $\displaystyle 18$ to both sides of the equation:

$\displaystyle x-18+18=72+18$

x=72+18 $\displaystyle x=72+18$

x=90 $\displaystyle x=90$

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Example Question #347 : High School Math

Solve for when 12x=156 $\displaystyle 12x=156$

Possible Answers:

x=13 $\displaystyle x=13$

x=3124 $\displaystyle x=3124$

x=181 $\displaystyle x=181$

x=81 $\displaystyle x=81$

Correct answer:

x=13 $\displaystyle x=13$

Explanation:

To solve for , divide each side of the equation by $\displaystyle 12$:

$\frac{12x}{12}=\frac{156}{12}$ $\displaystyle \frac{12x}{12}=\frac{156}{12}$

$x=\frac{156}{12}$ $\displaystyle x=\frac{156}{12}$

x=13 $\displaystyle x=13$

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

Example Question #181 : Pre Algebra

Example Question #341 : High School Math

Example Question #91 : Algebraic Equations

Example Question #342 : High School Math

Example Question #343 : High School Math

Example Question #344 : High School Math

Example Question #345 : High School Math

Example Question #346 : High School Math

Example Question #347 : High School Math

All High School Math Resources

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