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Algebra 1 : Algebra 1

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 #501 : Linear Equations

Solve for $\displaystyle x$ .

$\displaystyle x-76.19=21.89$

Possible Answers:

100.21 $\displaystyle 100.21$

98.08 $\displaystyle 98.08$

46.82 $\displaystyle 46.82$

38.02 $\displaystyle 38.02$

54.30 $\displaystyle 54.30$

Correct answer:

98.08 $\displaystyle 98.08$

Explanation:

$\displaystyle x-76.19=21.89$

Add 76.19 $\displaystyle 76.19$ to both sides.

x=98.08 $\displaystyle x=98.08$

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Example Question #501 : Linear Equations

Solve for $\displaystyle x$ .

$\displaystyle x-102.88=-90.23$

Possible Answers:

-10.23 $\displaystyle -10.23$

-11.55 $\displaystyle -11.55$

-15.75 $\displaystyle -15.75$

14.96 $\displaystyle 14.96$

12.65 $\displaystyle 12.65$

Correct answer:

12.65 $\displaystyle 12.65$

Explanation:

$\displaystyle x-102.88=-90.23$

Add 102.88 $\displaystyle 102.88$ to both sides. Since 102.88 $\displaystyle 102.88$ is greater than 90.23 $\displaystyle 90.23$ and is positive, our answer is positive. We treat as a subtraction problem.

x=12.65 $\displaystyle x=12.65$

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Example Question #502 : Linear Equations

Solve for $\displaystyle x$ .

$\displaystyle x-1024.76=-1267.98$

Possible Answers:

483.93 $\displaystyle 483.93$

-243.22 $\displaystyle -243.22$

-824.22 $\displaystyle -824.22$

-321.22 $\displaystyle -321.22$

342.10 $\displaystyle 342.10$

Correct answer:

-243.22 $\displaystyle -243.22$

Explanation:

$\displaystyle x-1024.76=-1267.98$

Add 1024.76 $\displaystyle 1024.76$ to both sides. Since 1267.98 $\displaystyle 1267.98$ is greater than 1024.76 $\displaystyle 1024.76$ and is negative, our answer is negative. We treat as a subtraction problem.

$\displaystyle x=-243.22$

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Example Question #501 : How To Solve One Step Equations

Solve for $\displaystyle x$ .

$\displaystyle 2.3x=45.54$

Possible Answers:

19.9 $\displaystyle 19.9$

18.8 $\displaystyle 18.8$

17.7 $\displaystyle 17.7$

19.6 $\displaystyle 19.6$

19.8 $\displaystyle 19.8$

Correct answer:

19.8 $\displaystyle 19.8$

Explanation:

$\displaystyle 2.3x=45.54$

Divide by 2.3 $\displaystyle 2.3$ on both sides.

x=19.8 $\displaystyle x=19.8$

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Example Question #504 : Linear Equations

Solve for $\displaystyle x$ .

$\displaystyle 9.6x=-43.2$

Possible Answers:

5.1 $\displaystyle 5.1$

-4.7 $\displaystyle -4.7$

7.2 $\displaystyle 7.2$

-4.5 $\displaystyle -4.5$

4.6 $\displaystyle 4.6$

Correct answer:

-4.5 $\displaystyle -4.5$

Explanation:

$\displaystyle 9.6x=-43.2$

Divide by 9.6 $\displaystyle 9.6$ on both sides. When dividing a negative number by a positive number, our answer is negative.

x=-4.5 $\displaystyle x=-4.5$

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Example Question #502 : Linear Equations

Solve for $\displaystyle x$ .

$\displaystyle -12.1x=-107.69$

Possible Answers:

8.9 $\displaystyle 8.9$

$\displaystyle -9$

-7.9 $\displaystyle -7.9$

-8.9 $\displaystyle -8.9$

7.9 $\displaystyle 7.9$

Correct answer:

8.9 $\displaystyle 8.9$

Explanation:

$\displaystyle -12.1x=-107.69$

Divide by -12.1 $\displaystyle -12.1$ on both sides. When dividing a negative number by another negative number, our answer is positive.

x=8.9 $\displaystyle x=8.9$

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Example Question #505 : Linear Equations

Solve for $\displaystyle x$ .

$\frac{x}{14.2}=7.8$ $\displaystyle \frac{x}{14.2}=7.8$

Possible Answers:

108.66 $\displaystyle 108.66$

120.86 $\displaystyle 120.86$

99.66 $\displaystyle 99.66$

110.76 $\displaystyle 110.76$

124.23 $\displaystyle 124.23$

Correct answer:

110.76 $\displaystyle 110.76$

Explanation:

$\frac{x}{14.2}=7.8$ $\displaystyle \frac{x}{14.2}=7.8$

Multiply by 14.2 $\displaystyle 14.2$ on both sides.

$\displaystyle x=110.76$

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Example Question #506 : Linear Equations

Solve for $\displaystyle x$ .

$\frac{x}{13.5}=-9.7$ $\displaystyle \frac{x}{13.5}=-9.7$

Possible Answers:

116.23 $\displaystyle 116.23$

131.25 $\displaystyle 131.25$

-132.55 $\displaystyle -132.55$

-130.95 $\displaystyle -130.95$

129.95 $\displaystyle 129.95$

Correct answer:

-130.95 $\displaystyle -130.95$

Explanation:

$\frac{x}{13.5}=-9.7$ $\displaystyle \frac{x}{13.5}=-9.7$

Multiply by 13.5 $\displaystyle 13.5$ on both sides. When multiplying a negative number by a positive number, answer is negative.

$\displaystyle x=-130.95$

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Example Question #507 : Linear Equations

Solve for $\displaystyle x$ .

$\frac{x}{-19.8}=-6.5$ $\displaystyle \frac{x}{-19.8}=-6.5$

Possible Answers:

198.2 $\displaystyle 198.2$

131.6 $\displaystyle 131.6$

156.7 $\displaystyle 156.7$

128.7 $\displaystyle 128.7$

142.8 $\displaystyle 142.8$

Correct answer:

128.7 $\displaystyle 128.7$

Explanation:

$\frac{x}{-19.8}=-6.5$ $\displaystyle \frac{x}{-19.8}=-6.5$

Multiply both sides by -19.8 $\displaystyle -19.8$ . When multiplying with a negative number by another negative number, the answer is positive.

x=128.7 $\displaystyle x=128.7$

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Example Question #508 : Linear Equations

Solve the following equation: $6x = \frac{5}{7}$ $\displaystyle 6x = \frac{5}{7}$

Possible Answers:

$\frac{30}{7}$ $\displaystyle \frac{30}{7}$

$\frac{13}{5}$ $\displaystyle \frac{13}{5}$

$\frac{5}{13}$ $\displaystyle \frac{5}{13}$

$\frac{42}{5}$ $\displaystyle \frac{42}{5}$

$\frac{5}{42}$ $\displaystyle \frac{5}{42}$

Correct answer:

$\frac{5}{42}$ $\displaystyle \frac{5}{42}$

Explanation:

In order to isolate the x-variable, multiply both sides of the equation by the reciprocal of the number in front of the x.

$6x \cdot \frac{1}{6} = \frac{5}{7}\cdot \frac{1}{6}$ $\displaystyle 6x \cdot \frac{1}{6} = \frac{5}{7}\cdot \frac{1}{6}$

Simplify both sides of the equation.

$x=\frac{5}{42}$ $\displaystyle x=\frac{5}{42}$

The answer is: $\frac{5}{42}$ $\displaystyle \frac{5}{42}$

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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #501 : Linear Equations

Example Question #501 : Linear Equations

Example Question #502 : Linear Equations

Example Question #501 : How To Solve One Step Equations

Example Question #504 : Linear Equations

Example Question #502 : Linear Equations

Example Question #505 : Linear Equations

Example Question #506 : Linear Equations

Example Question #507 : Linear Equations

Example Question #508 : Linear Equations

All Algebra 1 Resources

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