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Algebra 1 : Linear Equations

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10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #141 : Linear Equations

Solve for $\displaystyle e$:

$\displaystyle e-10=-12$

Possible Answers:

e=22 $\displaystyle e=22$

e=-2 $\displaystyle e=-2$

e=-12 $\displaystyle e=-12$

e=2 $\displaystyle e=2$

Correct answer:

e=-2 $\displaystyle e=-2$

Explanation:

$\displaystyle e-10=-12$

Add $\displaystyle 10$ to both sides of the equation.

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

e=-2 $\displaystyle e=-2$

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Example Question #142 : Linear Equations

Solve for $\displaystyle q$:

q-22=21 $\displaystyle q-22=21$

Possible Answers:

q=-1 $\displaystyle q=-1$

q=43 $\displaystyle q=43$

q=24 $\displaystyle q=24$

q=-41 $\displaystyle q=-41$

Correct answer:

q=43 $\displaystyle q=43$

Explanation:

q-22=21 $\displaystyle q-22=21$

Add $\displaystyle 22$ to both sides of the equation.

$\displaystyle q-22+22=21+22$

q=43 $\displaystyle q=43$

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Example Question #143 : Linear Equations

Solve for $\displaystyle b$:

b-19=12 $\displaystyle b-19=12$

Possible Answers:

b=-2 $\displaystyle b=-2$

b=31 $\displaystyle b=31$

b=20 $\displaystyle b=20$

b=19 $\displaystyle b=19$

Correct answer:

b=31 $\displaystyle b=31$

Explanation:

b-19=12 $\displaystyle b-19=12$

Add $\displaystyle 19$ to both sides of the equation.

$\displaystyle b-19+19=12+19$

b=31 $\displaystyle b=31$

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Example Question #144 : Linear Equations

Solve for $\displaystyle z$:

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

Possible Answers:

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

z=-36 $\displaystyle z=-36$

z=-45 $\displaystyle z=-45$

z=4 $\displaystyle z=4$

Correct answer:

z=-45 $\displaystyle z=-45$

Explanation:

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

Multiply both sides of the equation by $\displaystyle 5$.

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

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

z=-45 $\displaystyle z=-45$

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Example Question #145 : Linear Equations

Solve for $\displaystyle x$:

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

Possible Answers:

x=-32 $\displaystyle x=-32$

x=-16 $\displaystyle x=-16$

x=-2 $\displaystyle x=-2$

x=-4 $\displaystyle x=-4$

Correct answer:

x=-32 $\displaystyle x=-32$

Explanation:

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

Multiply both sides by $\displaystyle 4$.

x=-32 $\displaystyle x=-32$

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Example Question #146 : Linear Equations

Solve for $\displaystyle u$:

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

Possible Answers:

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

u=-24 $\displaystyle u=-24$

u=10 $\displaystyle u=10$

u=-12 $\displaystyle u=-12$

Correct answer:

u=-24 $\displaystyle u=-24$

Explanation:

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

Multiply both sides by $\displaystyle 12$.

u=-24 $\displaystyle u=-24$

Report an Error

Example Question #147 : Linear Equations

Solve for $\displaystyle x$:

$\displaystyle x-0.9=12.1$

Possible Answers:

x=14.5 $\displaystyle x=14.5$

x=11.2 $\displaystyle x=11.2$

x=12 $\displaystyle x=12$

x=13 $\displaystyle x=13$

Correct answer:

x=13 $\displaystyle x=13$

Explanation:

$\displaystyle x-0.9=12.1$

Add 0.9 $\displaystyle 0.9$ to both sides.

x=13 $\displaystyle x=13$

Report an Error

Example Question #148 : Linear Equations

Solve for $\displaystyle x$:

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

Possible Answers:

x=14 $\displaystyle x=14$

x=9 $\displaystyle x=9$

x=12 $\displaystyle x=12$

x=16 $\displaystyle x=16$

Correct answer:

x=16 $\displaystyle x=16$

Explanation:

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

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

x=16 $\displaystyle x=16$

Report an Error

Example Question #149 : Linear Equations

Solve for $\displaystyle x$:

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

Possible Answers:

x=4 $\displaystyle x=4$

x=124 $\displaystyle x=124$

x=144 $\displaystyle x=144$

x=30 $\displaystyle x=30$

Correct answer:

x=144 $\displaystyle x=144$

Explanation:

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

Multiply both sides by $\displaystyle 6$.

x=144 $\displaystyle x=144$

Report an Error

Example Question #150 : Linear Equations

Solve for $\displaystyle x$:

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

Possible Answers:

x=160 $\displaystyle x=160$

x=152 $\displaystyle x=152$

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

x=28 $\displaystyle x=28$

Correct answer:

x=160 $\displaystyle x=160$

Explanation:

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

Multiply both sides by $\displaystyle 8$.

x=160 $\displaystyle x=160$

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 #141 : Linear Equations

Example Question #142 : Linear Equations

Example Question #143 : Linear Equations

Example Question #144 : Linear Equations

Example Question #145 : Linear Equations

Example Question #146 : Linear Equations

Example Question #147 : Linear Equations

Example Question #148 : Linear Equations

Example Question #149 : Linear Equations

Example Question #150 : Linear Equations

All Algebra 1 Resources

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