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Algebra 1 : How to solve one-step equations

Study concepts, example questions & explanations for Algebra 1

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All Algebra 1 Resources

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

Example Questions

Example Question #121 : Algebra 1

Solve for :

$\frac{x}{7}=124$

Possible Answers:

x=117

x=868

x=100

$x=\frac{124}{7}$

Correct answer:

x=868

Explanation:

$\frac{x}{7}=124$

Multiply both sides of the equation by .

$\left ( 7\right )\frac{x}{7}=124\left ( 7\right )$

x=868

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Example Question #122 : Algebra 1

Solve for :

$\frac{x}{4}=122$

Possible Answers:

x=118

x=500

x=488

$x=\frac{61}{2}$

Correct answer:

x=488

Explanation:

$\frac{x}{4}=122$

Multiply both sides of the equation by .

$\left ( 4\right )\frac{x}{4}=122(4)$

x=488

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Example Question #123 : Linear Equations

Solve for :

$\frac{x}{12}=-8$

Possible Answers:

x=-100

$x=-\frac{2}{3}$

x=-96

x=96

Correct answer:

x=-96

Explanation:

$\frac{x}{12}=-8$

Multiply both sides of the equation by .

$(12)\frac{x}{12}=-8(12)$

Remember when a positive number is multiplied by a negative number then the answer is negative.

x=-96

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Example Question #124 : Linear Equations

Solve for :

$\frac{x}{4}=-10$

Possible Answers:

x=-40

x=-36

$x=-\frac{5}{2}$

x=-6

Correct answer:

x=-40

Explanation:

$\frac{x}{4}=-10$

Multiply both sides of the equation by .

$(4)\frac{x}{4}=-10(4)$

Remember when a negative number is multiplied by a positive number then the answer is negative.

x=-40

Report an Error

Example Question #125 : Linear Equations

Solve for :

$-\frac{x}{2}=12$

Possible Answers:

x=-144

x=-24

x=24

x=6

Correct answer:

x=-24

Explanation:

$-\frac{x}{2}=12$

Multiply both sides of the equation by .

$(-2)-\frac{x}{2}=12(-2)$

Remember when a positive number is multiplied by a negative number then the answer is negative.

x=-24

Report an Error

Example Question #126 : Linear Equations

Solve for :

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

Possible Answers:

x=-20

x=-25

x=15

x=0

Correct answer:

x=-25

Explanation:

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

Multiply both sides of the equation by .

$(5)\frac{x}{5}=-5(5)$

Remember when a negative number is multiplied by a positive number then the answer is negative.

x=-25

Report an Error

Example Question #127 : Linear Equations

Solve for :

$\frac{x}{12}=-\frac{4}{3}$

Possible Answers:

x=-16

x=-21

x=-24

x=-48

Correct answer:

x=-16

Explanation:

$\frac{x}{12}=-\frac{4}{3}$

Multiply both sides of the equation by .

$\left ( 12\right )\frac{x}{12}=-\frac{4}{3}\left ( 12\right )$

Rewrite and simplify.

$\left ( \frac{12}{1}\right )\frac{x}{12}=-\frac{4}{3}\left ( \frac{12}{1}\right )$

$x=-\frac{48}{3}$

x=-16

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Example Question #128 : Linear Equations

Solve for :

$-\frac{x}{11}=-2$

Possible Answers:

x=22

$x=-\frac{11}{2}$

$x=-\frac{2}{11}$

x=-2

Correct answer:

x=22

Explanation:

$-\frac{x}{11}=-2$

Multiply both sides of the equation by .

$(-11)-\frac{x}{11}=-2(-11)$

Remember that when two negative numbers are multiplied together then the answer is positive.

x=22

Report an Error

Example Question #126 : How To Solve One Step Equations

Solve for :

$\frac{x}{14}=-20$

Possible Answers:

x=-246

x=-108

$x=-\frac{10}{7}$

x=-280

Correct answer:

x=-280

Explanation:

$\frac{x}{14}=-20$

Multiply both sides of the equation by .

$(14)\frac{x}{14}=-20(14)$

Remember when a negative number is multiplied by a positive number then the answer is negative.

x=-280

Report an Error

Example Question #127 : How To Solve One Step Equations

Solve for :

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

Possible Answers:

x=-481

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

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

x=-186

Correct answer:

x=-186

Explanation:

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

Multiply both sides of the equation by .

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

Remember when a negative number is multiplied by a positive number then the answer is negative.

x=-186

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 #121 : Algebra 1

Example Question #122 : Algebra 1

Example Question #123 : Linear Equations

Example Question #124 : Linear Equations

Example Question #125 : Linear Equations

Example Question #126 : Linear Equations

Example Question #127 : Linear Equations

Example Question #128 : Linear Equations

Example Question #126 : How To Solve One Step Equations

Example Question #127 : How To Solve One Step Equations

All Algebra 1 Resources

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