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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 #161 : Algebra 1

Solve for :

$\frac{x}{7}=-12$

Possible Answers:

$x=-\frac{12}{7}$

x=5

x=-84

x=-19

Correct answer:

x=-84

Explanation:

$\frac{x}{7}=-12$

Multiply both sides of the equation by .

$(7)\frac{x}{7}=-12(7)$

Remember that when a negative number is multiplied by a positive number, the answer is always negative.

x=-84

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Example Question #162 : Algebra 1

Solve for :

$\frac{x}{11}=-20$

Possible Answers:

x=-9

$x=-\frac{20}{11}$

x=-220

x=-31

Correct answer:

x=-220

Explanation:

$\frac{x}{11}=-20$

Multiply both sides of the equation by .

$(11)\frac{x}{11}=-20(11)$

Remember that when a negative number is multiplied by a positive number, the answer is always negative.

x=-220

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Example Question #163 : Algebra 1

Solve for :

$\frac{x}{14}=-212$

Possible Answers:

x=-2968

x=-149

$x=-\frac{106}{7}$

x=-120

Correct answer:

x=-2968

Explanation:

$\frac{x}{14}=-212$

Multiply both sides of the equation by .

$(14)\frac{x}{14}=-212(14)$

Remember that when a negative number is multiplied by a positive number, the answer is always negative.

x=-2968

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Example Question #164 : Algebra 1

Solve for :

$-\frac{x}{9}=-67$

Possible Answers:

x=603

x=73

x=58

$x=\frac{67}{9}$

Correct answer:

x=603

Explanation:

$-\frac{x}{9}=-67$

Multiply both sides of the equation by .

$(-9)-\frac{x}{9}=-67(-9)$

Remember that when a negative number is multiplied by a negative number, the answer is always positive.

x=603

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Example Question #165 : Algebra 1

Solve for :

$-\frac{x}{13}=2$

Possible Answers:

x=-39

x=-26

x=-15

x=-13

Correct answer:

x=-26

Explanation:

$-\frac{x}{13}=2$

Multiply both sides of the equation by .

$(-13)-\frac{x}{13}=2(-13)$

Remember that when a negative number is multiplied by a positive number, the answer is always negative.

x=-26

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Example Question #166 : Algebra 1

Solve for :

$-\frac{x}{8}=-29$

Possible Answers:

x=232

x=194

x=-37

$x=\frac{29}{8}$

Correct answer:

x=232

Explanation:

$-\frac{x}{8}=-29$

Multiply both sides of the equation by .

$(-8)-\frac{x}{8}=-29(-8)$

Remember that when a negative number is multiplied by a negative number, the answer is always positive.

x=232

Report an Error

Example Question #167 : Algebra 1

Solve for :

$-\frac{x}{14}=-10$

Possible Answers:

$x=\frac{7}{5}$

x=140

x=-102

$x=\frac{5}{7}$

Correct answer:

x=140

Explanation:

$-\frac{x}{14}=-10$

Multiply both sides of the equation by .

$(-14)-\frac{x}{14}=-10(-14)$

Remember that when a negative number is multiplied by a negative number, the answer is always positive.

x=140

Report an Error

Example Question #161 : How To Solve One Step Equations

Solve for :

9x=702

Possible Answers:

x=78

x=88

x=-68

x=6318

Correct answer:

x=78

Explanation:

9x=702

Divide both sides of the equation by .

$\frac{9x}{9}=\frac{702}{9}$

x=78

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Example Question #169 : Algebra 1

Solve for :

x+4=-2

Possible Answers:

x=-6

x=-2

x=-4

x=6

x=2

Correct answer:

x=-6

Explanation:

Starting Equation

x+4=-2

Subtract 4 from both sides

(x+4)-4=(-2)-4

Group like terms

(x)+(4-4)=(-2-4)

Simplify

x+0=-6

x=-6

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Example Question #170 : Algebra 1

Solve for :

1.2+b=3.5

Possible Answers:

-2.3

-4.8

33.8

4.8

2.3

Correct answer:

2.3

Explanation:

1.2+b=3.5

Subtract 1.2 from both sides of the quation. Remember to line-up the decimals.

1.2-1.2+b=3.5-1.2

b=2.3 .

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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 #161 : Algebra 1

Example Question #162 : Algebra 1

Example Question #163 : Algebra 1

Example Question #164 : Algebra 1

Example Question #165 : Algebra 1

Example Question #166 : Algebra 1

Example Question #167 : Algebra 1

Example Question #161 : How To Solve One Step Equations

Example Question #169 : Algebra 1

Example Question #170 : Algebra 1

All Algebra 1 Resources

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