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Pre-Algebra : One-Step Equations with Integers

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Example Questions

Example Question #41 : One Step Equations With Integers

Solve: 13x = 1313

Possible Answers:

111

101

110

112

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 #42 : One Step Equations With Integers

Solve:

10x = 6

Possible Answers:

$\frac{3}{5}$

$\frac{1}{16}$

$\frac{5}{3}$

$\frac{1}{4}$

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 #43 : One Step Equations With Integers

Solve: 12x = 1224

Possible Answers:

112

120

102

202

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 #44 : One Step Equations With Integers

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 #45 : One Step Equations With Integers

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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Example Question #46 : One Step Equations With Integers

Solve the equation:

2+x = 88

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 solve for . subtract two from both sides of the equation.

2+x -2= 88-2

x=86

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Example Question #47 : One Step Equations With Integers

Solve:

9x= 24

Possible Answers:

$\frac{8}{3}$

$\frac{3}{8}$

$\frac{1}{13}$

Correct answer:

$\frac{8}{3}$

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 nine on both sides and reduce the fraction.

$\frac{9x}{9}= \frac{24}{9}$

From here, factor the numerator and denominator to find values that can cancel.

$\frac{24}{9}=\frac{3\cdot 8}{3\cdot 3}$

Since there is a three in both the numerator and denominator it reduces to one and we are left with the final answer of,

$x=\frac{8}{3}$ .

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Example Question #48 : One Step Equations With Integers

Solve: x+19 = -19

Possible Answers:

Correct answer:

Explanation:

To solve for , simply subtract 19 from both side of the equation to isolate .

x+19 -19= -19-19

x=-38

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Example Question #49 : One Step Equations With Integers

Solve for the unknown variable:

13x = 13013

Possible Answers:

1011

110

101

1010

1001

Correct answer:

1001

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 13 to isolate the variable.

$\frac{13x }{13}= \frac{13013}{13}$

Now factor the numerator to find values that can cancel out.

$\frac{13013}{13}=\frac{13\cdot 1001}{13}$

The 13 in the numerator and denominator reduces to one and we are left with,

x=1001 .

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Example Question #50 : One Step Equations With Integers

Solve: 4 x= -64

Possible Answers:

$-\frac{1}{4}$

Correct answer:

Explanation:

To solve, divide both sides by .

$\frac{4 x}{4}= \frac{-64}{4}$

$x=-\frac{64}{4} = -16$

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Pre-Algebra : One-Step Equations with Integers

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #41 : One Step Equations With Integers

Example Question #42 : One Step Equations With Integers

Example Question #43 : One Step Equations With Integers

Example Question #44 : One Step Equations With Integers

Example Question #45 : One Step Equations With Integers

Example Question #46 : One Step Equations With Integers

Example Question #47 : One Step Equations With Integers

Example Question #48 : One Step Equations With Integers

Example Question #49 : One Step Equations With Integers

Example Question #50 : One Step Equations With Integers

All Pre-Algebra Resources

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