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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 #201 : How To Solve Two Step Equations

-22x+41=-5

Solve for .

Possible Answers:

$\frac{27}{4}$

$\frac{23}{11}$

$\frac{3}{2}$

$\frac{47}{12}$

Correct answer:

$\frac{23}{11}$

Explanation:

To solve for the variable, you must get it alone on one side of the equation and only numbers on the other by using opposite operations. Whatever is done to one side of the equation must be done to the other. In the case of:

-22x+41=-5

You first must subtract from both sides of the equation,

-22x+41-41=-5-41

Giving you,

-22x=-46

Now divide each side by ,

$\frac{-22x}{-22}=\frac{-46}{-22}$

Leaving you with,

$x=\frac{46}{22}$

Reduce,

$x=\frac{23}{11}$

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Example Question #210 : How To Solve Two Step Equations

-144=6-10b

Solve for .

Possible Answers:

Correct answer:

Explanation:

-144=6-10b

You first must subtract from both sides of the equation,

-144-6=6-10b-6

Giving you,

-150=-10b

Now divide each side by ,

$\frac{-150}{-10}=\frac{-10b}{-10}$

Leaving you with,

15=b

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Example Question #743 : Linear Equations

$\frac{9}{11}b-13=68$

Solve for .

Possible Answers:

Correct answer:

Explanation:

$\frac{9}{11}b-13=68$

You first must add to each side of the equation,

$\frac{9}{11}b-13+13=68+13$

Giving you,

$\frac{9}{11}b=81$

Now you divide each side by $\frac{9}{11}$ ,

$\frac{9}{11}b\div \frac{9}{11}=81\div \frac{9}{11}$

Leaving you with,

b=99

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Example Question #744 : Linear Equations

15x+55=115

Solve for .

Possible Answers:

Correct answer:

Explanation:

15x+55=115

You first must subtract from both sides of the equation,

15x+55-55=115-55

Giving you,

15x=60

Now divide each side by ,

$\frac{15x}{15}=\frac{60}{15}$

Leaving you with,

x=4

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Example Question #745 : Linear Equations

13a-17=100

Solve for .

Possible Answers:

Correct answer:

Explanation:

13a-17=100

You first must add to both sides as such,

13a-17+17=100+17

Giving you,

13a=117

Now divide each side by ,

$\frac{13a}{13}=\frac{117}{13}$

Leaving yo with,

a=9

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Example Question #746 : Linear Equations

$\frac{a}{12}+51=60$

Solve for .

Possible Answers:

108

116

144

Correct answer:

108

Explanation:

$\frac{a}{12}+51=60$

You first must subtract from both sides of the equation,

$\frac{a}{12}+51-51=60-51$

Giving you,

$\frac{a}{12}=9$

Now mulitiply each side by ,

$\frac{a}{12}\times12=9\times12$

Leaving you with,

a=108

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Example Question #747 : Linear Equations

Solve the following for :

2x+4=10

Possible Answers:

x=1

x=9

x=3

x=7

Correct answer:

x=3

Explanation:

To solve, first subtract from each side and then divide by in order to isolate .

2x+4-4=10-4

2x=6

x=3

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Example Question #748 : Linear Equations

Solve the following equation for x

8=4x-16

Possible Answers:

x=-6

x=4

x=6

x=-2

Correct answer:

x=6

Explanation:

Solve the following equation for x

8=4x-16

Begin by adding 16 to both sides:

8(+16)=4x-16(+16)

24=4x

Next, divide both sides by 4

$\frac{24}{4}=x=6$

So our answer is x=6

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Example Question #749 : Linear Equations

Solve: 3x+9 = 54

Possible Answers:

Correct answer:

Explanation:

To isolate , subtract nine from both sides.

3x+9 -9= 54-9

Simplify both sides.

3x=45

Divide by three on both sides.

$\frac{3x}{3}=\frac{45}{3}$

Simplify.

x=15

The answer is .

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Example Question #211 : How To Solve Two Step Equations

Solve the following equation: $\frac{x}{8}+6=4$

Possible Answers:

$\frac{1}{4}$

$-\frac{1}{4}$

$-\frac{5}{4}$

Correct answer:

Explanation:

To isolate the unknown variable, we must subtract six from both sides first.

$\frac{x}{8}+6-6=4-6$

Simplify the left and right sides.

$\frac{x}{8}=-2$

Multiply by eight on both sides to isolate the unknown variable.

$\frac{x}{8}\cdot 8=-2\cdot 8$

x=-16

The answer is:

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Algebra 1 : Linear Equations

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #201 : How To Solve Two Step Equations

Example Question #210 : How To Solve Two Step Equations

Example Question #743 : Linear Equations

Example Question #744 : Linear Equations

Example Question #745 : Linear Equations

Example Question #746 : Linear Equations

Example Question #747 : Linear Equations

Example Question #748 : Linear Equations

Example Question #749 : Linear Equations

Example Question #211 : How To Solve Two Step Equations

All Algebra 1 Resources

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