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Algebra 1 : Linear Equations

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Example Questions

Example Question #131 : Algebra 1

Solve for :

$-\frac{2}{3}x=102$

Possible Answers:

x=142

x=-153

x=-143

x=-192

Correct answer:

x=-153

Explanation:

$-\frac{2}{3}x=102$

Multiply both sides of the equation by the reciprocal of $-\frac{2}{3}$ .

$-\frac{2}{3}\rightarrow-\frac{3}{2}$

Rewrite and simplify.

$\left ( -\frac{3}{2} \right )-\frac{2}{3}x=102\left ( -\frac{3}{2} \right )$

$x=\left ( \frac{102}{1} \right )\left ( -\frac{3}{2} \right )$

$x=-\frac{306}{2}$

x=-153

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Example Question #131 : Linear Equations

Solve for :

x-10=-222

Possible Answers:

x=-232

x=200

x=-212

$x=-\frac{111}{5}$

Correct answer:

x=-212

Explanation:

x-10=-222

Add to both sides of the equation.

x-10+10=-222+10

x=-212

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Example Question #132 : How To Solve One Step Equations

Solve for :

0.10x=10

Possible Answers:

x=4

x=2

x=100

x=1

Correct answer:

x=100

Explanation:

0.1x=10

Divide both sides of the equation by 0.1 .

$\frac{0.1x}{0.1}=\frac{10}{0.1}$

Convert 0.1 to a fraction.

$0.1\ = \frac{1}{10}$

Dividing by a fraction is the same as multiplying by its reciprocal.

$\frac{1}{10} \rightarrow \frac{10}{1}$

Rewrite and simplify.

$x=10\left ( \frac{10}{1} \right )$

$x=\frac{100}1{}$

x=100

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Example Question #132 : How To Solve One Step Equations

Solve for :

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

Possible Answers:

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

$r=-\frac{1}{2}$

r=-96

r=-20

Correct answer:

r=-96

Explanation:

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

Multiply both sides of the equation by .

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

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

r=-96

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Example Question #132 : Linear Equations

Solve for :

a-9=-12

Possible Answers:

a=3

a=-21

$a=-\frac{5}{3}$

a=-3

Correct answer:

a=-3

Explanation:

a-9=-12

Add to both sides of the equation.

a-9+9=-12+9

a=-3

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Example Question #135 : Algebra 1

Solve for :

-4w=12

Possible Answers:

w=9

w=12

w=-3

w=1

Correct answer:

w=-3

Explanation:

-4w=12

Divide both sides of the equation by .

$\frac{-4w}{-4}=\frac{12}{-4}$

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

w=-3

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Example Question #133 : Linear Equations

Solve for :

g-4=-12

Possible Answers:

g=-16

g=3

g=12

g=-8

Correct answer:

g=-8

Explanation:

g-4=-12

Add to both sides of the equation.

g-4+4=-12+4

g=-8

Report an Error

Example Question #137 : Algebra 1

Solve for :

$-\frac{t}{5}=-20$

Possible Answers:

t=-4

t=50

t=100

t=20

Correct answer:

t=100

Explanation:

$-\frac{t}{5}=-20$

Multiply both sides of the equation by .

$(-5)-\frac{t}{5}=-20(-5)$

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

t=100

Report an Error

Example Question #135 : How To Solve One Step Equations

Solve for :

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

Possible Answers:

x=6

x=-24

x=8

x=-10

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 #136 : How To Solve One Step Equations

Solve for :

$-9h=-\frac{2}{3}$

Possible Answers:

$h=-\frac{18}{3}$

$h=-\frac{18}{29}$

$h=-\frac{5}{9}$

$h=\frac{2}{27}$

Correct answer:

$h=\frac{2}{27}$

Explanation:

$-9h=-\frac{2}{3}$

Divide both sides of the equation by .

$-9h \div -9=-\frac{2}{3} \div -9$

Dividing by a number is the same as multiplying by its reciprocal. Rewrite and simplify.

$h=-\frac{2}{3} \times -\frac{1}{9}$

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

$h=\frac{2}{27}$

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 #131 : Algebra 1

Example Question #131 : Linear Equations

Example Question #132 : How To Solve One Step Equations

Example Question #132 : How To Solve One Step Equations

Example Question #132 : Linear Equations

Example Question #135 : Algebra 1

Example Question #133 : Linear Equations

Example Question #137 : Algebra 1

Example Question #135 : How To Solve One Step Equations

Example Question #136 : How To Solve One Step Equations

All Algebra 1 Resources

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