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Algebra 1 : Linear 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 #111 : Linear Equations

Solve for :

6x=108

Possible Answers:

x=16

x=648

x=29

x=18

Correct answer:

x=18

Explanation:

6x=108

Divide both sides of the equation by .

$\frac{6x}{6}=\frac{108}{6}$

x=18

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Example Question #112 : How To Solve One Step Equations

Solve for :

15x=20

Possible Answers:

x=300

$x=\frac{5}{3}$

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

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

Correct answer:

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

Explanation:

15x=20

Divide both sides of the equation by .

$\frac{15x}{15}+\frac{20}{15}$

$x=\frac{20}{15}$

Reduce.

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

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Example Question #112 : Linear Equations

Solve for :

$\frac{1}{3}x=20$

Possible Answers:

$x=\frac{20}{3}$

x=60

x=23

x=17

Correct answer:

x=60

Explanation:

$\frac{1}{3}x=20$

Multiply both sides of the equation by .

$(3)\frac{1}{3}x=20(3)$

x=60

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Example Question #113 : Linear Equations

Solve for :

x-9=-10

Possible Answers:

x=-1

x=1

x=-19

x=-10

Correct answer:

x=-1

Explanation:

x-9=-10

Add to both sides of the equation.

x-9+9=(-10)+9

x=-1

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Example Question #114 : Linear Equations

Solve for :

x+9=-2

Possible Answers:

x=-11

x=-18

x=7

x=-9

Correct answer:

x=-11

Explanation:

x+9=-2

Subtract from both sides of the equation.

x+9-9=(-2)-9

x=-11

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Example Question #115 : Linear Equations

Solve for :

-9x=-27

Possible Answers:

x=3

x=-3

x=11

x=4

Correct answer:

x=3

Explanation:

-9x=-27

Divide both sides of the equation by .

$\frac{-9x}{(-9)}=\frac{-27}{(-9)}$

x=3

Report an Error

Example Question #116 : Linear Equations

Solve for :

x-2=-10

Possible Answers:

x=-12

x=-8

x=20

x=8

Correct answer:

x=-8

Explanation:

x-2=-10

Add to both sides of the equation.

x-2+2=(-10)+2

x=-8

Report an Error

Example Question #117 : Linear Equations

Solve for :

x-19=-19

Possible Answers:

x=1

x=0

x=-2

x=38

Correct answer:

x=0

Explanation:

x-19=-19

Add to both sides of the equation.

x-19+19=(-19)+19

x=0

Report an Error

Example Question #119 : How To Solve One Step Equations

Solve for :

$5x=-\frac{1}{5}$

Possible Answers:

x=-1

x=1

$x=-\frac{1}{25}$

$x=\frac{6}{5}$

Correct answer:

$x=-\frac{1}{25}$

Explanation:

$5x=-\frac{1}{5}$

Divide both sides of the equation by . Remember that dividing by a number is the same as multiplying by its reciprocal.

$\left ( \frac{1}{5} \right )5x=-\frac{1}{5}\left ( \frac{1}{5} \right )$

$x=-\frac{1}{25}$

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Example Question #120 : How To Solve One Step Equations

Solve for :

$-\frac{1}{4}x=\frac{2}{3}$

Possible Answers:

$x=-\frac{8}{3}$

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

$x=-\frac{1}{6}$

$x=-\frac{2}{7}$

Correct answer:

$x=-\frac{8}{3}$

Explanation:

$-\frac{1}{4}x=\frac{2}{3}$

Multiply both sides of the equation by .

$(-4)-\frac{1}{4}x=\frac{2}{3}(-4)$

$x=-\frac{8}{3}$

Report an Error

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Algebra 1 : Linear Equations

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #111 : Linear Equations

Example Question #112 : How To Solve One Step Equations

Example Question #112 : Linear Equations

Example Question #113 : Linear Equations

Example Question #114 : Linear Equations

Example Question #115 : Linear Equations

Example Question #116 : Linear Equations

Example Question #117 : Linear Equations

Example Question #119 : How To Solve One Step Equations

Example Question #120 : How To Solve One Step Equations

All Algebra 1 Resources

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