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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 #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 #231 : Algebraic Equations

Solve:

9x= 24

Possible Answers:

$\frac{3}{8}$

$\frac{8}{3}$

$\frac{1}{13}$

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 #271 : Expressions & Equations

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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Example Question #51 : One Step Equations With Integers

Solve: 4x = -44

Possible Answers:

Correct answer:

Explanation:

To solve this, divide both sides by four.

$\frac{4x}{4} = \frac{-44}{4}$

The numerator of the fraction can be split into common factors.

$\frac{-44}{4} = \frac{-11\times 4} {4}$

Eliminate the in the numerator and denominator.

The answer is: x=-11

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Example Question #51 : One Step Equations With Integers

Solve: $x\div 6 = -30$

Possible Answers:

$-\frac{1}{5}$

$-\frac{1}{180}$

Correct answer:

Explanation:

Rewrite the equation.

$\frac{x}{6}=-30$

To isolate , multiply both sides by 6.

$\frac{x}{6}\times 6=-30\times 6$

The integer and the denominator are eliminated on the left side of the equation. Multiply the right side.

The answer is: x=-180

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Example Question #272 : Expressions & Equations

Solve the equation: 8x = 888

Possible Answers:

880

118

896

111

Correct answer:

111

Explanation:

In order to solve this equation, we must divide by eight on both sides of the equation.

$\frac{8x}{8} =\frac{ 888}{8}$

Divide each digit by eight.

x=111

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Example Question #53 : One Step Equations With Integers

Solve: -3x = 69

Possible Answers:

$-\frac{1}{23}$

Correct answer:

Explanation:

In order to solve for , divide both sides by negative three.

$\frac{-3x }{-3}= \frac{69}{-3}$

The negative three will cancel out on the left side. Divide each digit on the numerator by three.

The answer is: x=-23

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Example Question #273 : Expressions & Equations

Solve: 6x= -31

Possible Answers:

$-\frac{1}{25}$

$-\frac{31}{6}$

$-\frac{31}{25}$

Correct answer:

$-\frac{31}{6}$

Explanation:

Solve this equation by dividing six on both sides of the equation.

$\frac{6x}{6}=\frac{ -31}{6}$

The sixes will cancel out on the left side. Leave the right side as an improper fraction.

The answer is: $-\frac{31}{6}$

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All Common Core: 6th Grade Math Resources

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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 #46 : One Step Equations With Integers

Example Question #231 : Algebraic Equations

Example Question #48 : One Step Equations With Integers

Example Question #49 : One Step Equations With Integers

Example Question #271 : Expressions & Equations

Example Question #51 : One Step Equations With Integers

Example Question #51 : One Step Equations With Integers

Example Question #272 : Expressions & Equations

Example Question #53 : One Step Equations With Integers

Example Question #273 : Expressions & Equations

All Common Core: 6th Grade Math Resources

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