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Common Core: 6th Grade Math : Expressions & Equations

Study concepts, example questions & explanations for Common Core: 6th Grade Math

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All Common Core: 6th Grade Math Resources

6 Diagnostic Tests 186 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #34 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

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 #31 : 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 #35 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Solve: 9x = 40

Possible Answers:

$\frac{40}{9}$

360

$\frac{9}{40}$

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 #261 : Expressions & Equations

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 #264 : Expressions & Equations

Solve: 13x = 1313

Possible Answers:

101

1001

112

110

111

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 #264 : Expressions & Equations

Solve: 12x = 1224

Possible Answers:

120

102

202

112

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 #262 : Expressions & Equations

Solve: 3+x = 103

Possible Answers:

100

103

106

Correct answer:

100

Explanation:

Subtract from both sides of the equation.

3+x-3 = 103-3

x=100

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Example Question #263 : Expressions & 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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All Common Core: 6th Grade Math Resources

6 Diagnostic Tests 186 Practice Tests Question of the Day Flashcards Learn by Concept

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Common Core: 6th Grade Math : Expressions & Equations

Study concepts, example questions & explanations for Common Core: 6th Grade Math

All Common Core: 6th Grade Math Resources

Example Questions

Example Question #34 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

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

Example Question #31 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Example Question #35 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Example Question #261 : Expressions & Equations

Example Question #264 : Expressions & Equations

Example Question #42 : One Step Equations With Integers

Example Question #264 : Expressions & Equations

Example Question #262 : Expressions & Equations

Example Question #263 : Expressions & Equations

All Common Core: 6th Grade Math Resources

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