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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 #511 : Linear Equations

Solve the following equation: $\frac{3}{7}x = -7$

Possible Answers:

$-\frac{49}{3}$

$-\frac{1}{3}$

$-\frac{14}{3}$

Correct answer:

$-\frac{49}{3}$

Explanation:

In order to isolate the $\textup{x-variable}$ , we will need to multiply both sides by the reciprocal of the coefficient in front of the .

$\frac{3}{7}x \cdot \frac{7}{3}= -7\cdot \frac{7}{3}$

Simplify both sides. Multiply the whole number with the numerator on the right side.

The answer is: $x=-\frac{49}{3}$

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Example Question #511 : How To Solve One Step Equations

Solve the following equation: $\frac{3}{4} = x+\frac{1}{8}$

Possible Answers:

$\frac{7}{8}$

$\frac{1}{2}$

$-\frac{1}{2}$

$\frac{5}{8}$

$-\frac{5}{8}$

Correct answer:

$\frac{5}{8}$

Explanation:

To isolate the x-variable, subtract one eighth from both sides.

$\frac{3}{4}- \frac{1}{8} = x+\frac{1}{8}- \frac{1}{8}$

Change the fractions on the left side to a common denominator and simplify both sides.

$\frac{6}{8}- \frac{1}{8} = x$

The answer is: $\frac{5}{8}$

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Example Question #513 : Linear Equations

Solve the equation: $\frac{2}{3}x = 17$

Possible Answers:

$\frac{2}{51}$

$\frac{34}{3}$

$\frac{51}{2}$

$\frac{3}{34}$

Correct answer:

$\frac{51}{2}$

Explanation:

Multiply both sides by the reciprocal of the fraction in front of the x-variable.

$\frac{2}{3}x \cdot \frac{3}{2}= 17 \cdot \frac{3}{2}$

The left side will simplify to only the x-variable. Multiply the integer with numerator on the right side of the equation.

$x=\frac{51}{2}$

The answer is: $\frac{51}{2}$

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Example Question #514 : Linear Equations

Solve the following equation: x-16 =-99

Possible Answers:

115

Correct answer:

Explanation:

Add on both sides in order to isolate the $\textup{x-variable}$ .

x-16+16 =-99+16

Simplify both sides.

x=-83

The answer is:

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Example Question #511 : Linear Equations

Solve the equation: x-17 =-67

Possible Answers:

Correct answer:

Explanation:

To isolate the x-variable, we will need to add 17 on both sides.

x-17 +17=-67+17

When adding a positive number with a negative number, the final number will be closer to zero.

Simplify both sides.

The answer is: x=-50

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Example Question #516 : Linear Equations

Solve the equation: x+9 = -37

Possible Answers:

Correct answer:

Explanation:

Isolate the $\textup{x-variable}$ by subtracting on both sides.

x+9-9 = -37-9

Simplify both sides.

The answer is: x=-46

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Example Question #512 : Linear Equations

Solve the equation: x-55 =-13

Possible Answers:

Correct answer:

Explanation:

In order to isolate the variable, add 55 on both sides.

x-55 +55=-13+55

Simplify both sides of the equation.

x= 42

The answer is:

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Example Question #518 : Linear Equations

Solve the equation: 6x=63

Possible Answers:

$\frac{22}{3}$

$\frac{33}{2}$

$\frac{21}{2}$

$\frac{33}{2}$

Correct answer:

$\frac{21}{2}$

Explanation:

To isolate the x-variable, divide both sides by six.

$\frac{6x}{6}=\frac{63}{6}$

Cancel the sixes on the left and rewrite the right side using common factors.

$x=\frac{3\times 21}{3 \times 2}$

Cancel the threes.

The answer is: $\frac{21}{2}$

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Example Question #519 : Linear Equations

Solve the equation: $\frac{3}{8}x = 2$

Possible Answers:

$\frac{1}{12}$

$\frac{3}{4}$

$\frac{3}{16}$

$\frac{4}{3}$

$\frac{16}{3}$

Correct answer:

$\frac{16}{3}$

Explanation:

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

$\frac{3}{8}x \cdot \frac{8}{3}= 2 \cdot \frac{8}{3}$

The left will simplify to a lone variable. Multiply the integer with the numerator on the right side.

The answer is: $x=\frac{16}{3}$

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Example Question #513 : Linear Equations

Solve the equation: z -23 = -23

Possible Answers:

Correct answer:

Explanation:

Solve this equation by adding 23 on both sides of the equation.

z -23+23 = -23+23

Simplify both sides of the equation.

The answer is: z=0

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Algebra 1 : Linear Equations

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #511 : Linear Equations

Example Question #511 : How To Solve One Step Equations

Example Question #513 : Linear Equations

Example Question #514 : Linear Equations

Example Question #511 : Linear Equations

Example Question #516 : Linear Equations

Example Question #512 : Linear Equations

Example Question #518 : Linear Equations

Example Question #519 : Linear Equations

Example Question #513 : Linear Equations

All Algebra 1 Resources

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