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Algebra 1 : Linear Equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #731 : Linear Equations

Solve for .

34=-1+7x

Possible Answers:

Correct answer:

Explanation:

In order to solve for , you first must get it by itself on one side of the equal sign using opposite operations. Whatever you do to one side of the equation you must do to the other. In the case of:

34=-1+7x

You must first add to both sides of the equation.

34+1=-1+1+7x

Giving you,

35=7x

Now, divide each side of the equation by .

$\frac{35}{7}=\frac{7x}{7}$

Solve.

5=x

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Example Question #193 : How To Solve Two Step Equations

Solve for .

41=3y+11

Possible Answers:

Correct answer:

Explanation:

In order to solve for , you first must get it by itself on one side of the equal sign using opposite operations. Whatever you do to one side of the equation you must do to the other. In the case of:

41=3y+11

You must first subtract from both sides of the equation.

41-11=3y+11-11

Giving you,

30=3y

Now, divide each side of the equation by .

$\frac{30}{3}=\frac{3y}{3}$

Solve.

10=y

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Example Question #201 : How To Solve Two Step Equations

Solve for .

$-25=17-\frac{b}{6}$

Possible Answers:

622

542

210

252

310

Correct answer:

252

Explanation:

In order to solve for , you first must get it by itself on one side of the equal sign using opposite operations. Whatever you do to one side of the equation you must do to the other. In the case of:

$-25=17-\frac{b}{6}$

You first must subtract from both sides of the equation.

$-25-17=17-17-\frac{b}{6}$

Giving you,

$-42=-\frac{b}{6}$

Now multiply each side of the equation by . Remember that when you multiply a negative number by a negative number, the answer is positive.

$-42\times-6=-\frac{b}{6}\times-6$

Solve.

252=b

Report an Error

Example Question #202 : How To Solve Two Step Equations

$\frac{x}{6}-11=5$

Solve for .

Possible Answers:

102

Correct answer:

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:

$\frac{x}{6}-11=5$

You first must add to both sides of the equation as such,

$\frac{x}{6}-11+11=5+11$

Giving you,

$\frac{x}{6}=16$

Now multiply each side of the equation by ,

$\frac{x}{6}\times 6=16\times6$

Leaving you with,

x=96

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Example Question #203 : How To Solve Two Step Equations

Solve the following equation:

-4x + 18 = 74

Possible Answers:

x=14

x=-14

x=-23

x=23

x=-9

Correct answer:

x=-14

Explanation:

To solve the equation, we must get by itself.

-4x + 18 = 74

To do this, we substract on both sides

-4x + 18 - 18 = 74 - 18

-4x = 56

Now, we divide both sides by .

$\frac{-4x}{-4} = \frac{56}{-4}$

x = -14

Report an Error

Example Question #204 : How To Solve Two Step Equations

$\frac{a}{11}+61=72$

Solve for .

Possible Answers:

171

313

151

121

Correct answer:

121

Explanation:

$\frac{a}{11}+61=72$

You first must subtract from both sides of the equation as such,

$\frac{a}{11}+61-61=72-61$

Giving you,

$\frac{a}{11}=11$

Now multiply both sides by ,

$\frac{a}{11}\times 11=11\times11$

Leaving you with,

a=121

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Example Question #205 : How To Solve Two Step Equations

22b-14=426

Solve for

Possible Answers:

Correct answer:

Explanation:

22b-14=426

You first must add to both sides of the equation,

22b-14+14=426+14

Giving you,

22b=440

Now divide each side of the equation by ,

$\frac{22b}{22}=\frac{440}{22}$

Leaving you with,

b=20

Report an Error

Example Question #206 : How To Solve Two Step Equations

160=-4+4b

Solve for .

Possible Answers:

Correct answer:

Explanation:

160=-4+4b

You first must add to both sides of the equation,

160+4=-4+4b+4

Giving you,

164=4b

Now divide each side by ,

$\frac{164}{4}=\frac{4b}{4}$

Leaving you with,

41=b

Report an Error

Example Question #207 : How To Solve Two Step Equations

17=-7-12a

Solve for .

Possible Answers:

Correct answer:

Explanation:

17=-7-12a

You first must add to both sides of the equation,

17+7=-7-12a+7

Giving you,

24=-12a

Now divide each side by ,

$\frac{24}{-12}=\frac{-12a}{-12}$

Leaving you with,

-2=a

Report an Error

Example Question #208 : How To Solve Two Step Equations

$\frac{b}{14}+113=121$

Solve for .

Possible Answers:

108

112

134

Correct answer:

112

Explanation:

$\frac{b}{14}+113=121$

You first must subtract 113 from both sides of the equation,

$\frac{b}{14}+113-113=121-113$

Giving you,

$\frac{b}{14}=8$

Now multiply each side by ,

$\frac{b}{14}\times14=8\times14$

Leaving you with,

b=112

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 #731 : Linear Equations

Example Question #193 : How To Solve Two Step Equations

Example Question #201 : How To Solve Two Step Equations

Example Question #202 : How To Solve Two Step Equations

Example Question #203 : How To Solve Two Step Equations

Example Question #204 : How To Solve Two Step Equations

Example Question #205 : How To Solve Two Step Equations

Example Question #206 : How To Solve Two Step Equations

Example Question #207 : How To Solve Two Step Equations

Example Question #208 : How To Solve Two Step Equations

All Algebra 1 Resources

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