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Pre-Algebra : Algebraic Equations

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11 Diagnostic Tests 177 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #36 : One Step Equations With Integers

Solve: $\frac{x}{8}=8$

Possible Answers:

$\frac{1}{16}$

Correct answer:

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

To eliminate the fraction, multiply both sides by eight to cancel the denominator.

$\frac{x}{8} \times 8=8\times 8$

x=64

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Example Question #38 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Solve: -2x= -26

Possible Answers:

$\frac{1}{13}$

$-\frac{1}{13}$

Correct answer:

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

Divide both sides by negative two.

$\frac{-2x}{-2}= \frac{-26}{-2}$

Simplify. A double negative will eliminate each other when dividing.

x=13

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Example Question #38 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Solve for :

5-x-6=0

Possible Answers:

Correct answer:

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

To determine what the unknown variable is in this particular equation, add on both sides of the equation.

5-x-6 + (x)=0 + (x)

x=5-6= -1

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Example Question #37 : One Step Equations With Integers

Solve: 9x = 40

Possible Answers:

360

$\frac{40}{9}$

$\frac{9}{40}$

Correct answer:

$\frac{40}{9}$

Explanation:

To isolate the variable, divide both sides of the equation by nine.

$\frac{9x }{9}= \frac{40}{9}$

$x=\frac{40}{9}$

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Example Question #38 : One Step Equations With Integers

Solve: -6 +x =75

Possible Answers:

$-\frac{25}{2}$

Correct answer:

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

To isolate the unknown variable, add six on both sides.

-6 +x +6=75+6

x=81

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Example Question #41 : One Step Equations With Integers

Solve: 13x = 1313

Possible Answers:

112

101

110

111

1001

Correct answer:

101

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

To isolate , divide both sides by 13.

$\frac{13x}{13} = \frac{1313}{13}$

x=101

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Example Question #41 : One Step Equations

Solve:

10x = 6

Possible Answers:

$\frac{1}{16}$

$\frac{3}{5}$

$\frac{1}{4}$

$\frac{5}{3}$

Correct answer:

$\frac{3}{5}$

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

To solve this equation, divide both sides by ten.

$\frac{10x}{10} = \frac{6}{10}$

Once we divide, then factor the numerator to find any common factors that can cancel out. Since there is a two in the numerator and in the denominator, they cancel out and we are left with out final, simplified answer.

$x=\frac{6}{10} = \frac{2\cdot 3}{2\cdot 5}=\frac{3}{5}$

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Example Question #224 : Algebraic Equations

Solve: 12x = 1224

Possible Answers:

112

102

202

120

Correct answer:

102

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

Divide both sides by twelve.

$\frac{12}{12}x = \frac{1224}{12}$

From here, factor the numerator to further simplify.

$x=\frac{1224}{12}=\frac{12\cdot 102}{12}$

The twelve in the numerator and the denominator cancel out and we arrive at the final solution.

x=102

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Example Question #41 : One Step Equations

Solve: 3+x = 103

Possible Answers:

106

100

103

Correct answer:

100

Explanation:

Subtract from both sides of the equation.

3+x-3 = 103-3

x=100

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Example Question #42 : One Step Equations

Solve: 7x = 91

Possible Answers:

Correct answer:

Explanation:

Divide by seven on both sides of the equation.

$\frac{7x}{7} =\frac{ 91}{7}$

x=13

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Pre-Algebra : Algebraic Equations

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #36 : One Step Equations With Integers

Example Question #38 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Example Question #38 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Example Question #37 : One Step Equations With Integers

Example Question #38 : One Step Equations With Integers

Example Question #41 : One Step Equations With Integers

Example Question #41 : One Step Equations

Example Question #224 : Algebraic Equations

Example Question #41 : One Step Equations

Example Question #42 : One Step Equations

All Pre-Algebra Resources

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