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Pre-Algebra : One-Step Equations

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Example Questions

Example Question #51 : One Step Equations With Integers

Solve: 4x = -44

Possible Answers:

Correct answer:

Explanation:

To solve this, divide both sides by four.

$\frac{4x}{4} = \frac{-44}{4}$

The numerator of the fraction can be split into common factors.

$\frac{-44}{4} = \frac{-11\times 4} {4}$

Eliminate the in the numerator and denominator.

The answer is: x=-11

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Example Question #51 : One Step Equations

Solve: $x\div 6 = -30$

Possible Answers:

$-\frac{1}{5}$

$-\frac{1}{180}$

Correct answer:

Explanation:

Rewrite the equation.

$\frac{x}{6}=-30$

To isolate , multiply both sides by 6.

$\frac{x}{6}\times 6=-30\times 6$

The integer and the denominator are eliminated on the left side of the equation. Multiply the right side.

The answer is: x=-180

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Example Question #51 : One Step Equations

Solve the equation: 8x = 888

Possible Answers:

118

880

111

896

Correct answer:

111

Explanation:

In order to solve this equation, we must divide by eight on both sides of the equation.

$\frac{8x}{8} =\frac{ 888}{8}$

Divide each digit by eight.

x=111

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Example Question #231 : Algebraic Equations

Solve: -3x = 69

Possible Answers:

$-\frac{1}{23}$

Correct answer:

Explanation:

In order to solve for , divide both sides by negative three.

$\frac{-3x }{-3}= \frac{69}{-3}$

The negative three will cancel out on the left side. Divide each digit on the numerator by three.

The answer is: x=-23

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Example Question #52 : One Step Equations

Solve: 6x= -31

Possible Answers:

$-\frac{31}{6}$

$-\frac{31}{25}$

$-\frac{1}{25}$

Correct answer:

$-\frac{31}{6}$

Explanation:

Solve this equation by dividing six on both sides of the equation.

$\frac{6x}{6}=\frac{ -31}{6}$

The sixes will cancel out on the left side. Leave the right side as an improper fraction.

The answer is: $-\frac{31}{6}$

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Example Question #55 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Solve: -7+x = 2

Possible Answers:

$-\frac{7}{2}$

Correct answer:

Explanation:

Solve by adding seven on both sides of the equation. This will isolate on both sides of the equation.

-7+x +(7) = 2+(7)

Add the left side of the equation.

x=2+7

Add the right side of the equation.

x=9

The answer is .

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Example Question #53 : One Step Equations

Solve for :

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

Possible Answers:

x=-13

x=36

x=-5

x=0

x=-36

Correct answer:

x=-36

Explanation:

To solve this equation, we must isolate on the left side by multiplying each side by , as follows:

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

$4(\frac{x}{4})=(-9)(4)$

x=-36

Therefore, the correct answer is x=-36 .

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Example Question #52 : One Step Equations With Integers

Solve for x in the following equation.

x - 12 = 9

Possible Answers:

x = 3

x = 9

x = 19

x = 12

x = 21

Correct answer:

x = 21

Explanation:

When solving for x, we want x to be alone. Therefore, in the equation

x - 12 = 9

we add 12 to both sides.

x - 12 + 12 = 9 + 12

x = 21

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Example Question #57 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Solve:

x-241=241

Possible Answers:

482

241

Correct answer:

482

Explanation:

To solve for , we must isolate it to one side of the equation, as follows:

x-241=241

x-241+241=241+241

x=482

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Example Question #54 : One Step Equations

Find the solution for the variable m.

346 + m = 1111

Possible Answers:

m = 755

m = 764

m = 766

m = 765

m = 765.5

Correct answer:

m = 765

Explanation:

In order to find the solution we must isolate the variable m. The first step is to subtract 346 from both sides as follows:

346 - 346 + m = 1111 - 346

0 + m = 765

m = 765

We can check the answer by plugging in our solution of 765 into the original equation.

346 + 765 = 1111

1111 = 1111

It works.

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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 #51 : One Step Equations With Integers

Example Question #51 : One Step Equations

Example Question #51 : One Step Equations

Example Question #231 : Algebraic Equations

Example Question #52 : One Step Equations

Example Question #55 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Example Question #53 : One Step Equations

Example Question #52 : One Step Equations With Integers

Example Question #57 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Example Question #54 : One Step Equations

All Pre-Algebra Resources

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