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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 #321 : How To Solve One Step Equations

Solve for $\displaystyle x$:

$\displaystyle -19x=-304$

Possible Answers:

$\displaystyle 26$

$\displaystyle 31$

$\displaystyle 21$

$\displaystyle 36$

$\displaystyle 16$

Correct answer:

$\displaystyle 16$

Explanation:

$\displaystyle -19x=-304$ Divide $\displaystyle -19$ on both sides. When dividing with another negative number, our answer is positive.

x=16 $\displaystyle x=16$.

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Example Question #321 : How To Solve One Step Equations

Solve for $\displaystyle x$:

$\frac{x}{23}=42$ $\displaystyle \frac{x}{23}=42$

Possible Answers:

996 $\displaystyle 996$

966 $\displaystyle 966$

946 $\displaystyle 946$

1006 $\displaystyle 1006$

956 $\displaystyle 956$

Correct answer:

966 $\displaystyle 966$

Explanation:

$\frac{x}{23}=42$ $\displaystyle \frac{x}{23}=42$ Multiply $\displaystyle 23$ on both sides.

x=966 $\displaystyle x=966$

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Example Question #321 : Linear Equations

Solve for $\displaystyle x$:

$\frac{x}{26}=-29$ $\displaystyle \frac{x}{26}=-29$

Possible Answers:

$\displaystyle -904$

$\displaystyle -754$

$\displaystyle -734$

$\displaystyle -764$

$\displaystyle -824$

Correct answer:

$\displaystyle -754$

Explanation:

$\frac{x}{26}=-29$ $\displaystyle \frac{x}{26}=-29$ Multiply $\displaystyle 26$ on both sides. When multiplying with a negative number, our answer is negative.

x=-754 $\displaystyle x=-754$

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Example Question #321 : Linear Equations

Solve for $\displaystyle x$:

$\frac{x}{-37}=-39$ $\displaystyle \frac{x}{-37}=-39$

Possible Answers:

1543 $\displaystyle 1543$

1343 $\displaystyle 1343$

1293 $\displaystyle 1293$

1443 $\displaystyle 1443$

$\displaystyle -2$

Correct answer:

1443 $\displaystyle 1443$

Explanation:

$\frac{x}{-37}=-39$ $\displaystyle \frac{x}{-37}=-39$ Multiply $\displaystyle -37$ on both sides. When multiplying with another negative number, our answer is positive.

x=1443 $\displaystyle x=1443$

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Example Question #321 : Algebra 1

Solve the following for $\displaystyle x$:

x-2=13 $\displaystyle x-2=13$

Possible Answers:

x=26 $\displaystyle x=26$

x=15 $\displaystyle x=15$

x=11 $\displaystyle x=11$

$x=\frac{13}{2}$ $\displaystyle x=\frac{13}{2}$

Correct answer:

x=15 $\displaystyle x=15$

Explanation:

To solve, simply add $\displaystyle 2$ to both sides in order to isolate $\displaystyle x$. Thus,

$\displaystyle x-2+2=13+2$

x=15 $\displaystyle x=15$

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Example Question #322 : Algebra 1

Solve the following equation for b

-4b=0 $\displaystyle -4b=0$

Possible Answers:

b=-4 $\displaystyle b=-4$

b=1 $\displaystyle b=1$

b=-1 $\displaystyle b=-1$

b=0 $\displaystyle b=0$

Correct answer:

b=0 $\displaystyle b=0$

Explanation:

Solve the following equation for b

-4b=0 $\displaystyle -4b=0$

This is a one-step equation, we can solve it in only one step.

That step is to divide by negative 4

$\frac{-4b}{-4}=\frac{0}{-4}$ $\displaystyle \frac{-4b}{-4}=\frac{0}{-4}$

b=0 $\displaystyle b=0$

Which is our answer.

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Example Question #325 : Linear Equations

Solve: $\frac{4x}{6}=2$ $\displaystyle \frac{4x}{6}=2$

Possible Answers:

$\frac{1}{12}$ $\displaystyle \frac{1}{12}$

$\displaystyle 3$

$\frac{2}{3}$ $\displaystyle \frac{2}{3}$

$\frac{1}{3}$ $\displaystyle \frac{1}{3}$

$\frac{3}{2}$ $\displaystyle \frac{3}{2}$

Correct answer:

$\displaystyle 3$

Explanation:

In order to isolate the unknown variable, multiply both sides by the reciprocal of the coefficient in front of the $\displaystyle x$.

$\frac{4x}{6} \cdot \frac{6}{4}=2\cdot \frac{6}{4}$ $\displaystyle \frac{4x}{6} \cdot \frac{6}{4}=2\cdot \frac{6}{4}$

Simplify both sides.

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

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Example Question #326 : Linear Equations

Solve for $\displaystyle x$.

$\frac{3}{x-2}=\frac{10}{50}$ $\displaystyle \frac{3}{x-2}=\frac{10}{50}$

Possible Answers:

$\displaystyle 16$

$\displaystyle 17$

$\displaystyle 13$

$\displaystyle 11$

$\displaystyle 19$

Correct answer:

$\displaystyle 17$

Explanation:

$\frac{3}{x-2}=\frac{10}{50}$ $\displaystyle \frac{3}{x-2}=\frac{10}{50}$ Cross-multiply. Don't forget to distribute since the denominator of that fraction is an expression.

$\displaystyle 10x-20=150$ Add $\displaystyle 20$ on both sides.

10x=17 $\displaystyle 10x=17$ Divide $\displaystyle 10$ on both sides.

x=17 $\displaystyle x=17$

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Example Question #323 : Algebra 1

Solve the following equation: $\displaystyle x-11=100$

Possible Answers:

$\displaystyle 91$

111 $\displaystyle 111$

109 $\displaystyle 109$

$\displaystyle 99$

112 $\displaystyle 112$

Correct answer:

111 $\displaystyle 111$

Explanation:

In order to solve for $\displaystyle x$, add 11 on both sides in order to isolate the unknown variable.

$\displaystyle x-11+11=100+11$

Simplify both sides of the equation.

x=111 $\displaystyle x=111$

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Example Question #324 : How To Solve One Step Equations

$300\%$ $\displaystyle 300\%$ of $\displaystyle 48$ is

Possible Answers:

144 $\displaystyle 144$

0.144 $\displaystyle 0.144$

1.44 $\displaystyle 1.44$

14.4 $\displaystyle 14.4$

1440 $\displaystyle 1440$

Correct answer:

144 $\displaystyle 144$

Explanation:

First convert the percent to a decimal. Just shift the decimal place two places to the left. $300\%$ $\displaystyle 300\%$ =3.00 $\displaystyle =3.00$. Next, when we see of, it means multiplication.

$\displaystyle 3.00*48=144.00=144$ Remember to shift two decimal places to the left because of decimal placement.

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Algebra 1 : Linear Equations

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #321 : How To Solve One Step Equations

Example Question #321 : How To Solve One Step Equations

Example Question #321 : Linear Equations

Example Question #321 : Linear Equations

Example Question #321 : Algebra 1

Example Question #322 : Algebra 1

Example Question #325 : Linear Equations

Example Question #326 : Linear Equations

Example Question #323 : Algebra 1

Example Question #324 : How To Solve One Step Equations

All Algebra 1 Resources

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