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Algebra 1 : How to solve one-step equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #201 : How To Solve One Step Equations

Solve for .

x+13=26

Possible Answers:

Correct answer:

Explanation:

In order to solve for , we need to isolate the variable on the left side of the equation. We will do this by performing the same operations to both sides of the equation.

x+13=26

Subtract from both sides of the equation.

x+13-13=26-13

Solve.

x=13

Report an Error

Example Question #201 : Algebra 1

Solve for .

x+1.6=-2.3

Possible Answers:

-3.9

3.3

3.9

0.7

-0.7

Correct answer:

-3.9

Explanation:

In order to solve for , we need to isolate the variable on the left side of the equation. We will do this by performing the same operations to both sides of the equation.

x+1.6=-2.3

Subtract 1.6 from both sides of the equation. Remember to line up the decimals. When subtracting with negative numbers, we treat the operation as addition and add a negative sign to the final sum.

x+1.6-1.6=-2.3-1.6

Simplify and rewrite.

x=-(2.3+1.6)

Solve.

x=-3.9

Report an Error

Example Question #203 : How To Solve One Step Equations

Solve for .

x+16=-19

Possible Answers:

Correct answer:

Explanation:

In order to solve for , we need to isolate the variable on the left side of the equation. We will do this by performing the same operations to both sides of the equation.

x+16=-19

Subtract from both sides of the equation. Remember, when subtracting with negative numbers, we treat the operation as addition and add a negative sign to the final sum.

x+16-16=-19-16

Simplify and rewrite.

x+=-(19+16)

Solve.

x=-35

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Example Question #204 : How To Solve One Step Equations

Solve for .

x-9=18

Possible Answers:

Correct answer:

Explanation:

In order to solve for , we need to isolate the variable on the left side of the equation. We will do this by performing the same operations to both sides of the equation.

x-9=18

Add to both sides of the equation.

x-9+9=18+9

Solve.

x=27

Report an Error

Example Question #205 : How To Solve One Step Equations

Solve for .

x-21=-15

Possible Answers:

Correct answer:

Explanation:

In order to solve for , we need to isolate the variable on the left side of the equation. We will do this by performing the same operations to both sides of the equation.

x-21=-15

Add to both sides of the equation. Since is greater than and is positive, our answer is positive. We will treat the operation as a subtraction problem.

x-21+21=-15+21

Simplify and rewrite.

x=21-15

Solve.

x=6

Report an Error

Example Question #202 : Algebra 1

Solve for .

x-4.8=-0.9

Possible Answers:

3.9

-3.9

5.7

1.9

-5.7

Correct answer:

3.9

Explanation:

In order to solve for , we need to isolate the variable on the left side of the equation. We will do this by performing the same operations to both sides of the equation.

x-4.8=-0.9

Add 4.8 to both sides of the equation. Remember to line up the decimals. Since 4.8 is greater than 0.9 and is positive, our answer is positive. We will treat the operation as a subtraction problem.

x-4.8+4.8=-0.9+4.8

Simplify and rewrite.

x=4.8-0.9

Solve

x=3.9

Report an Error

Example Question #207 : How To Solve One Step Equations

Solve for .

25x=625

Possible Answers:

Correct answer:

Explanation:

In order to solve for , we need to isolate the variable on the left side of the equation. We will do this by performing the same operations to both sides of the equation.

25x=625

Divide both sides of the equation by .
$\frac{25x}{25}=\frac{625}{25}$

Solve.

x=25

Report an Error

Example Question #208 : How To Solve One Step Equations

Solve for .

-16x=112

Possible Answers:

6.4

Correct answer:

Explanation:

In order to solve for , we need to isolate the variable on the left side of the equation. We will do this by performing the same operations to both sides of the equation.

-16x=112

Divide both sides by . When dividing with one negative and one positive number, our answer is negative.

$\frac{-16x}{-16}=\frac{112}{-16}$

Solve.

x=-7

Report an Error

Example Question #209 : Algebra 1

Solve for .

-1.2x=-10.8

Possible Answers:

-0.9

$\pm9$

0.9

Correct answer:

Explanation:

In order to solve for , we need to isolate the variable on the left side of the equation. We will do this by performing the same operations to both sides of the equation.

-1.2x=-10.8

Divide both sides of the equation by -1.2 .

$\frac{-1.2x}{-1.2}=\frac{-10.8}{-1.2}$

Since each value has one decimal place, we can each shift them one place to the right. Simplify and rewrite.

$x=\frac{-108}{-12}$

Solve.

x=9

Report an Error

Example Question #201 : Linear Equations

Solve for .

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

Possible Answers:

144

Correct answer:

144

Explanation:

In order to solve for , we need to isolate the variable on the left side of the equation. We will do this by performing the same operations to both sides of the equation.

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

Multiply both sides by .

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

Solve.

x=144

Report an Error

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Algebra 1 : How to solve one-step equations

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #201 : How To Solve One Step Equations

Example Question #201 : Algebra 1

Example Question #203 : How To Solve One Step Equations

Example Question #204 : How To Solve One Step Equations

Example Question #205 : How To Solve One Step Equations

Example Question #202 : Algebra 1

Example Question #207 : How To Solve One Step Equations

Example Question #208 : How To Solve One Step Equations

Example Question #209 : Algebra 1

Example Question #201 : Linear Equations

All Algebra 1 Resources

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