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High School Math : High School Math

Study concepts, example questions & explanations for High School Math

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

Example Questions

Example Question #75 : How To Solve Two Step Equations With Integers In Pre Algebra

Solve for when $\frac{x}{13}-8=6$

Possible Answers:

x=64

x=80

x=28

x=182

Correct answer:

x=182

Explanation:

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

$\frac{x}{13}-8+8=6+8$

$\frac{x}{13}=14$

Then multiply both sides of the equation by :

$\frac{x}{13}\cdot 13=14\cdot 13$

x=182

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Example Question #76 : How To Solve Two Step Equations With Integers In Pre Algebra

Solve for when -6(x-3)=30

Possible Answers:

x=8

x=4

x=-2

x=2

Correct answer:

x=-2

Explanation:

To solve for , first distribute the outside the parentheses to both values inside the parentheses:

-6x+18=30

Then subtract from both sides of the equation:

-6x+18-18=30-18

-6x=12

Then divide both sides by :

$\frac{-6x}{-6}=\frac{12}{-6}$

x=-2

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Example Question #77 : How To Solve Two Step Equations With Integers In Pre Algebra

Solve for when $7x^{2}=112$

Possible Answers:

$x=\pm3$

$x=\pm6$

$x=\pm4$

$x=\pm7$

Correct answer:

$x=\pm4$

Explanation:

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

$\frac{7x^{2}}{7}=\frac{112}{7}$

$x^{2}=16$

Then take the square root of both sides of the equation:

$\sqrt{x^{2}}=\sqrt{16}$

x=4

However, remember that $(-4)^{2}$ is also equal to , so the answer is both positive and negative .

$x=\pm4$

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Example Question #81 : How To Solve Two Step Equations With Integers In Pre Algebra

Solve for when $4x^{2}=144$

Possible Answers:

x=6

$x=\pm4$

x=-6

$x=\pm6$

Correct answer:

$x=\pm6$

Explanation:

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

$\frac{4x^{2}}{4}=\frac{144}{4}$

$x^{2}=36$

Take the square root of both sides of the equation:

$\sqrt{x^{2}}=\sqrt{36}$

x=6

However, remember that $(-6)^{2}$ is also equal to , so the answer is both positive and negative .

$x=\pm6$

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Example Question #491 : High School Math

What is 5+2x-3x+10 if x=5 ?

Possible Answers:

Correct answer:

Explanation:

Plugging in for gives 5 + 2(5)-3(5) +10 .

= 5+10-15+10

= .

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Example Question #492 : High School Math

Solve for :

$\frac{12}{x} + 9 = 13$

Possible Answers:

$\frac{1}{4}$

$\frac{1}{3}$

Correct answer:

Explanation:

This equation can be solved in three steps.

First, subtract from both sides of the equation to isolate the variable and its coefficient on the left side of the equation.

$\frac{12}{x} + 9 = 13$

$\rightarrow (\frac{12}{x} + 9) - 9 = (13) - 9$

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

Now multiply both sides by since cannot be solved for while it is in the denominator.

$(\frac{12}{x}) \times x = (4) \times x$

$\rightarrow 12 = 4x$

Finally, divide both sides by to isolate and find the solution.

$\frac{(12)}{4} = \frac{(4x)}{4}$

$\rightarrow 3 = x$

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

Solve for $\small a$ .

$\frac{12}{a}-7=-1$

Possible Answers:

a=2

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

a=3

a=1

Correct answer:

a=2

Explanation:

$\frac{12}{a}-7=-1$

Add 7 to both sides.

$\frac{12}{a}-7+7=-1+7$

$\frac{12}{a}=6$

Multiply both sides by $\small a$ .

$\frac{12}{a}(a)=6a$

12=6a

Divide both sides by 6.

$\frac{12}{6}=\frac{6a}{6}$

2=a

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

Solve for $\small x$ .

$(2x\div4) +5 = 25$

Possible Answers:

x=0

x=25

x=20

x=2/6

x=40

Correct answer:

x=40

Explanation:

$(2x\div4) +5 = 25$

We need to isolate $\small x$ . First, subtract $\small 5$ from both sides.

$(2x\div4) +5-5 = 25-5$

$(2x\div4) = 20$

Multiply both sides by $\small 4$ .

$2x\div4 *4= 20*4$

2x=80

Finally, divide both sides by $\small 2$ .

$\frac{2x}{2}=\frac{80}{2}$

x=40

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

Solve for the value of $\small a$ .

$\frac{a}{4}+3=12$

Possible Answers:

$a=\frac{15}{4}$

a=36

a=60

$a=\frac{9}{4}$

Correct answer:

a=36

Explanation:

$\frac{a}{4}+3=12$

We need to work to isolate the variable using inverse functions.

Subtract $\small 3$ from both sides.
$\frac{a}{4}+3-3=12-3$

$\frac{a}{4}=9$

Multiply both sides by $\small 4$ .

$(4)\frac{a}{4}=(4)(9)$

a=36

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

$x=\frac{2}{3}*18$

Solve for .

Possible Answers:

Correct answer:

Explanation:

$x=\frac{2}{3}*18$

From here, you can either plug this into your calculator, or take the equation in pieces:

$x=\frac{2*18}{3}$

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

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 #75 : How To Solve Two Step Equations With Integers In Pre Algebra

Example Question #76 : How To Solve Two Step Equations With Integers In Pre Algebra

Example Question #77 : How To Solve Two Step Equations With Integers In Pre Algebra

Example Question #81 : How To Solve Two Step Equations With Integers In Pre Algebra

Example Question #491 : High School Math

Example Question #492 : High School Math

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

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

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

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

All High School Math Resources

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