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Algebra 1 : Linear Equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #81 : Algebra 1

Solve for :

x+9=-10

Possible Answers:

x=-1

x=-19

x=13

x=1

Correct answer:

x=-19

Explanation:

To solve for , you must get it alone on one side of the equation. To do so, subtract from both sides.

x+9=-10

x+9-9=-10-9

x=-19

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Example Question #81 : Linear Equations

Ashley and friends ate dinner at a restaurant together, and they split the bill evenly. If each person paid $\$14$ , how much was the total bill?

Possible Answers:

$\$72$

$\$70$

$\$64$

$\$66$

Correct answer:

$\$70$

Explanation:

Let be the total bill.

Since there is a total of people, we can write the following equation:

$\frac{x}{5}=14$

To solve for , multiply both sides by .

$\frac{x}{5}\cdot5=14\cdot5$

x=70

The total bill cost $\$70$ .

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Example Question #82 : Linear Equations

Aaron was baking cupcakes. The recipe calls for cups of flour. If he has already put in cups of flour, how many more cups of flour does he need?

Possible Answers:

Correct answer:

Explanation:

Let be the number of cups of flour he needs to still add.

Since he has already added cups, we can write the following equation:

x+5=12

To solve for , subtract both sides by :

x+5-5=12-5

x=7

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Example Question #83 : Linear Equations

Last Monday, Adam had $\$12$ . Over the course of the week, he earned some money babysitting. He now has $\$27$ . How much money did he earn babysitting?

Possible Answers:

$\$12$

$\$15$

$\$9$

$\$22$

Correct answer:

$\$15$

Explanation:

Let be the amount he earned babysitting.

Since he started out with $\$12$ , we can write the following equation:

x+12=27

To solve for , subtract from both sides.

x+12-12=27-12

x=15

Adam earned $\$15$ babysitting.

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Example Question #84 : Linear Equations

Anna ran more miles than Nelson ran. If Anna ran miles, how many miles did Nelson run?

Possible Answers:

The miles that Nelson ran cannot be determined.

Correct answer:

Explanation:

Let be the number of miles that Nelson ran.

Since we know that Anna ran more miles than Nelson did, we can write the following expression to tell us how many miles Anna ran in terms of :

x+12

Since we know that Anna ran a total of miles, we can then write the following equation:

x+12=77

x=65

Nelson ran miles.

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Example Question #85 : Linear Equations

Steve has $\$87.12$ remaining after paying $\$7.89$ for a salad. How much money did Steve have before buying the salad?

Possible Answers:

$\$78.21$

$\$90.56$

$\$95.01$

$\$79.23$

Correct answer:

$\$95.01$

Explanation:

Let be the amount of money Steve had before he paid for the salad.

Since he spent $\$7.89$ , we can then write the following equation:

x-7.89=87.12

To solve for , add 7.89 to both sides.

x-7.89+7.89=87.12+7.89

x=95.01

Steve had $\$95.01$ before paying for the salad.

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Example Question #86 : Linear Equations

If a box of chocolates costs $\$6$ , how many boxes of chocolate can you buy with $\$108$ ?

Possible Answers:

Correct answer:

Explanation:

Let be the number of boxes of chocolate that you can buy.

Since we know that each box costs $\$6$ , we can write the following equation:

6x=108

To solve for , divide both sides by .

$6x\div6=108\div6$

x=18

You can buy boxes of chocolate with $\$108$ .

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Example Question #87 : Linear Equations

Solve for :

$\frac{e}{4}=\frac{2}{3}$

Possible Answers:

$e=\frac{1}{2}$

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

$e=\frac{1}{6}$

$e=\frac{8}{3}$

Correct answer:

$e=\frac{8}{3}$

Explanation:

To solve for , multiply both sides by .

$\frac{e}{4}=\frac{2}{3}$

$\frac{e}{4}\times4=\frac{2}{3}\times4$

$e=\frac{8}{3}$

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Example Question #88 : Linear Equations

Solve for :

h-9=127

Possible Answers:

h=107

h=182

h=136

h=118

Correct answer:

h=136

Explanation:

To solve for , add to both sides of the equation.

h-9=127

h-9+9=127+9

h=136

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Example Question #89 : Linear Equations

Solve for :

$8y=\frac{2}{3}$

Possible Answers:

$y=\frac{1}{8}$

$y=\frac{1}{4}$

$y=\frac{1}{12}$

$y=\frac{16}{3}$

Correct answer:

$y=\frac{1}{12}$

Explanation:

To solve for , divide both sides by .

$8y=\frac{2}{3}$

$8y\div8=\frac{2}{3}\div8=\frac{2}{3}\times\frac{1}{8}$

$y=\frac{1}{12}$

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Algebra 1 : Linear Equations

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #81 : Algebra 1

Example Question #81 : Linear Equations

Example Question #82 : Linear Equations

Example Question #83 : Linear Equations

Example Question #84 : Linear Equations

Example Question #85 : Linear Equations

Example Question #86 : Linear Equations

Example Question #87 : Linear Equations

Example Question #88 : Linear Equations

Example Question #89 : Linear Equations

All Algebra 1 Resources

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