Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #141 : Algebra 1

Solve for \displaystyle e:

\displaystyle e-10=-12

Possible Answers:

\displaystyle e=-12

\displaystyle e=22

\displaystyle e=-2

\displaystyle e=2

Correct answer:

\displaystyle e=-2

Explanation:

\displaystyle e-10=-12

Add \displaystyle 10 to both sides of the equation.

\displaystyle e-10+10=-12+10

\displaystyle e=-2

Example Question #142 : Algebra 1

Solve for \displaystyle q:

\displaystyle q-22=21

Possible Answers:

\displaystyle q=24

\displaystyle q=43

\displaystyle q=-41

\displaystyle q=-1

Correct answer:

\displaystyle q=43

Explanation:

\displaystyle q-22=21

Add \displaystyle 22 to both sides of the equation.

\displaystyle q-22+22=21+22

\displaystyle q=43

Example Question #143 : Algebra 1

Solve for \displaystyle b:

\displaystyle b-19=12

Possible Answers:

\displaystyle b=19

\displaystyle b=31

\displaystyle b=20

\displaystyle b=-2

Correct answer:

\displaystyle b=31

Explanation:

\displaystyle b-19=12

Add \displaystyle 19 to both sides of the equation.

\displaystyle b-19+19=12+19

\displaystyle b=31

Example Question #144 : Linear Equations

Solve for \displaystyle z:

\displaystyle \frac{z}{5}=-9

Possible Answers:

\displaystyle z=-\frac{9}{5}

\displaystyle z=-36

\displaystyle z=-45

\displaystyle z=4

Correct answer:

\displaystyle z=-45

Explanation:

\displaystyle \frac{z}{5}=-9

Multiply both sides of the equation by \displaystyle 5.

\displaystyle (5)\frac{z}{5}=-9(5)

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

\displaystyle z=-45

Example Question #144 : Algebra 1

Solve for \displaystyle x:

\displaystyle \frac{x}{4}=-8

 

Possible Answers:

\displaystyle x=-2

\displaystyle x=-32

\displaystyle x=-4

\displaystyle x=-16

Correct answer:

\displaystyle x=-32

Explanation:

\displaystyle \frac{x}{4}=-8

Multiply both sides by \displaystyle 4.

\displaystyle x=-32

Example Question #145 : Algebra 1

Solve for \displaystyle u:

\displaystyle \frac{u}{12}=-2

Possible Answers:

\displaystyle u=-24

\displaystyle u=-\frac{1}{6}

\displaystyle u=-12

\displaystyle u=10

Correct answer:

\displaystyle u=-24

Explanation:

\displaystyle \frac{u}{12}=-2

Multiply both sides by \displaystyle 12.

\displaystyle u=-24

Example Question #146 : Algebra 1

Solve for \displaystyle x:

\displaystyle x-0.9=12.1

Possible Answers:

\displaystyle x=14.5

\displaystyle x=12

\displaystyle x=11.2

\displaystyle x=13

Correct answer:

\displaystyle x=13

Explanation:

\displaystyle x-0.9=12.1

Add \displaystyle 0.9 to both sides.

\displaystyle x=13

Example Question #147 : Algebra 1

Solve for \displaystyle x:

\displaystyle \frac{3}{4}x=12

Possible Answers:

\displaystyle x=9

\displaystyle x=14

\displaystyle x=12

\displaystyle x=16

Correct answer:

\displaystyle x=16

Explanation:

\displaystyle \frac{3}{4}x=12

Multiply both sides by \displaystyle \frac{4}{3}.

\displaystyle x=16

Example Question #148 : Algebra 1

Solve for \displaystyle x:

\displaystyle \frac{x}{6}=24

Possible Answers:

\displaystyle x=124

\displaystyle x=30

\displaystyle x=144

\displaystyle x=4

Correct answer:

\displaystyle x=144

Explanation:

\displaystyle \frac{x}{6}=24

Multiply both sides by \displaystyle 6.

\displaystyle x=144

Example Question #149 : Algebra 1

Solve for \displaystyle x:

\displaystyle \frac{x}{8}=20

Possible Answers:

\displaystyle x=152

\displaystyle x=\frac{5}{2}

\displaystyle x=28

\displaystyle x=160

Correct answer:

\displaystyle x=160

Explanation:

\displaystyle \frac{x}{8}=20

Multiply both sides by \displaystyle 8.

\displaystyle x=160

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