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Algebra 1 : How to solve one-step equations

Study concepts, example questions & explanations for Algebra 1

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10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #221 : How To Solve One Step Equations

Solve for .

x-13=98

Possible Answers:

111

101

Correct answer:

111

Explanation:

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

x-13=98

Add to both sides of the equation.

x-13+13=98+13

Solve.

x=111

Report an Error

Example Question #222 : How To Solve One Step Equations

Solve for .

x-13=-24

Possible Answers:

Correct answer:

Explanation:

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

x-13=-24

Add to both sides of the equation.

x-13+13=-24+13

Since is greater than and is negative, our answer is negative. We will treat the operation as a subtraction problem.

x=-(24-13)

Solve.

x=-11

Report an Error

Example Question #223 : How To Solve One Step Equations

Solve for .

-21+x=-11

Possible Answers:

Correct answer:

Explanation:

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

-21+x=-11

Add to both sides of the equation.

-21+21+x=-11+21

Since is greater than and is positive, our answer is positive. We will treat the operation as a subtraction problem.

x=21-11

Solve.

x=10

Report an Error

Example Question #224 : How To Solve One Step Equations

Solve for .

x-13=-14

Possible Answers:

Correct answer:

Explanation:

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

x-13=-14

Add to both sides of the equation.

x-13+13=-14+13

Since is greater than and is negative, our answer is negative. We will treat the operation as a subtraction problem.

x=-(14-13)

Solve.

x=-1

Report an Error

Example Question #225 : How To Solve One Step Equations

Solve for .

7x=112

Possible Answers:

784

119

Correct answer:

Explanation:

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

7x=112

Divide both sides of the equation by .

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

Solve.

x=16

Report an Error

Example Question #226 : How To Solve One Step Equations

Solve for .

-5x=120

Possible Answers:

600

Correct answer:

Explanation:

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

-5x=120

Divide both sides of the equation by .

$\frac{-5x}{-5}=\frac{120}{-5}$

Solve. When dividing a positive number with a negative number, our answer will be negative.

x=-24

Report an Error

Example Question #227 : How To Solve One Step Equations

Solve for .

-8x=-136

Possible Answers:

Correct answer:

Explanation:

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

-8x=-136

Divide both sides of the equation by .

$\frac{-8x}{-8}=\frac{-136}{-8}$

Solve. When dividing two negative numbers, our answer is positive.

x=17

Report an Error

Example Question #228 : How To Solve One Step Equations

Solve for .

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

Possible Answers:

Correct answer:

Explanation:

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

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

Multiply both sides of the equation by .

$(3)\frac{x}{3}=18(3)$

Solve.

x=54

Report an Error

Example Question #229 : How To Solve One Step Equations

Solve for .

$\frac{x}{-9}=13$

Possible Answers:

$\frac{-13}{9}$

$\frac{-9}{13}$

$\frac{13}{9}$

117

Correct answer:

Explanation:

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

$\frac{x}{-9}=13$

Multiply both sides of the equation by .

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

Solve. When multiplying a negative number with a positive number, the answer is negative.

x=-117

Report an Error

Example Question #230 : How To Solve One Step Equations

Solve for .

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

Possible Answers:

104

$\frac{13}{8}$

$\frac{8}{13}$

$\frac{-13}{8}$

Correct answer:

104

Explanation:

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

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

Multiply both sides of the equation by .

$(-8)\frac{x}{-8}=-13(-8)$

Solve. When multiplying two negative numbers, our answer is positive.

x=104

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 #221 : How To Solve One Step Equations

Example Question #222 : How To Solve One Step Equations

Example Question #223 : How To Solve One Step Equations

Example Question #224 : How To Solve One Step Equations

Example Question #225 : How To Solve One Step Equations

Example Question #226 : How To Solve One Step Equations

Example Question #227 : How To Solve One Step Equations

Example Question #228 : How To Solve One Step Equations

Example Question #229 : How To Solve One Step Equations

Example Question #230 : How To Solve One Step Equations

All Algebra 1 Resources

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