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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 #621 : Algebra 1

Solve for :

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

Possible Answers:

b=-2

b=-4

b=0

b=8

Correct answer:

b=0

Explanation:

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

Add to both sides of the equation.

$\frac{1}{2}b-2+2=(-2)+2$

$\frac{1}{2}b=0$

Multiply both sides of the equation by .

$(2)\frac{1}{2}b=0(2)$

b=0

Report an Error

Example Question #81 : How To Solve Two Step Equations

Solve for :

$\frac{2}{3}d-5=1$

Possible Answers:

d=4

d=9

d=6

d=-5

Correct answer:

d=9

Explanation:

$\frac{2}{3}d-5=1$

Add to both sides of the equation.

$\frac{2}{3}d-5+5=1+5$

$\frac{2}{3}d=6$

Divide both sides of the equation by $\frac{2}{3}$ . Remember that dividing by a fraction is the same as multiplying by its reciprocal; therefore, multiply both sides of the equation by $\frac{3}{2}$ .

$\left ( \frac{3}{2} \right )\frac{2}{3}d=6\left ( \frac{3}{2} \right )$

$d=\frac{6}{1}\times\frac{3}{2}$

$d=\frac{18}{2}$

d=9

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Example Question #91 : How To Solve Two Step Equations

Solve for :

7e-1=13

Possible Answers:

e=12

$e=\frac{13}{7}$

e=2

e=-2

Correct answer:

e=2

Explanation:

7e-1=13

Add to both sides of the equation.

7e-1+1=13+1

7e=14

Divide both sides of the equation by .

$\frac{7e}{7}=\frac{14}{7}$

e=2

Report an Error

Example Question #92 : How To Solve Two Step Equations

Solve for :

12f+15=183

Possible Answers:

f=13

f=15

f=14

f=16

Correct answer:

f=14

Explanation:

12f+15=183

Subtract from both sides of the equation.

12f+15-a5=183-15

12f=168

Divide both sides of the equation by .

$\frac{12f}{12}=\frac{168}{12}$

f=14

Report an Error

Example Question #93 : How To Solve Two Step Equations

Solve for :

2g-5=-11

Possible Answers:

g=1

g=-4

g=-8

g=3

Correct answer:

g=3

Explanation:

2g-5=-11

Add to both sides of the equation.

2g-5+5=-11+5

2g=-6

Divide both sides of the equation by .

$\frac{2g}{2}=\frac{(-6)}{2}$

g=-3

Report an Error

Example Question #94 : How To Solve Two Step Equations

Solve for :

-2h+6=18

Possible Answers:

h=10

h=4

h=-6

h=-12

Correct answer:

h=-6

Explanation:

-2h+6=18

Subtract from both sides of the equation.

-2h+6-6=18-6

-2h=12

Divide both sides of th equation by .

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

h=-6

Report an Error

Example Question #95 : How To Solve Two Step Equations

Solve for :

-3j+19=-2

Possible Answers:

j=6

$j=-\frac{17}{3}$

$j=-\frac{19}{3}$

j=7

Correct answer:

j=7

Explanation:

-3j+19=-2

Subtract from both sides of the equation.

-3j+19-19=(-2)-19

-3j=-21

Divide both sides of the equation by .

$\frac{-3j}{(-3)}=\frac{-21}{(-3)}$

j=7

Report an Error

Example Question #96 : How To Solve Two Step Equations

Solve for :

3k+5=-22

Possible Answers:

k=-4

$k=\frac{17}{3}$

k=-6

k=-9

Correct answer:

k=-9

Explanation:

3k+5=-22

Subtract from both sides of the equation.

3k+5-5=(-22)-5

3k=-27

Divide both sides of the equation by .

$\frac{3k}{3}=\frac{(-27)}{3}$

k=-9

Report an Error

Example Question #97 : How To Solve Two Step Equations

Solve for :

-4m+10=16

Possible Answers:

$m=\frac{3}{2}$

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

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

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

Correct answer:

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

Explanation:

-4m+10=16

Subtract from both sides of the equation.

-4m+10-10=16-10

-4m=6

Divide both sides of the equation by .

$\frac{-4m}{(-4)}=\frac{6}{(-4)}$

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

Report an Error

Example Question #98 : How To Solve Two Step Equations

Solve for :

9-6n=45

Possible Answers:

n=-6

n=10

n=5

n=-2

Correct answer:

n=-6

Explanation:

9-6n=45

Subtract from both sides of the equation.

9-9-6n=45-9

-6n=36

Divide both sides of the equation by .

$\frac{-6n}{(-6)}=\frac{36}{(-6)}$

n=-6

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 #621 : Algebra 1

Example Question #81 : How To Solve Two Step Equations

Example Question #91 : How To Solve Two Step Equations

Example Question #92 : How To Solve Two Step Equations

Example Question #93 : How To Solve Two Step Equations

Example Question #94 : How To Solve Two Step Equations

Example Question #95 : How To Solve Two Step Equations

Example Question #96 : How To Solve Two Step Equations

Example Question #97 : How To Solve Two Step Equations

Example Question #98 : How To Solve Two Step Equations

All Algebra 1 Resources

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