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Common Core: 6th Grade Math : Grade 6

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 #731 : Grade 6

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 #231 : Algebraic Equations

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 #732 : Grade 6

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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Example Question #55 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Solve: -7+x = 2

Possible Answers:

$-\frac{7}{2}$

Correct answer:

Explanation:

Solve by adding seven on both sides of the equation. This will isolate on both sides of the equation.

-7+x +(7) = 2+(7)

Add the left side of the equation.

x=2+7

Add the right side of the equation.

x=9

The answer is .

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Example Question #241 : Algebraic Equations

Solve for :

$\frac{x}{4}=-9$

Possible Answers:

x=0

x=36

x=-36

x=-13

x=-5

Correct answer:

x=-36

Explanation:

To solve this equation, we must isolate on the left side by multiplying each side by , as follows:

$\frac{x}{4}=-9$

$4(\frac{x}{4})=(-9)(4)$

x=-36

Therefore, the correct answer is x=-36 .

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Example Question #57 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Solve:

x-241=241

Possible Answers:

482

241

Correct answer:

482

Explanation:

To solve for , we must isolate it to one side of the equation, as follows:

x-241=241

x-241+241=241+241

x=482

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Example Question #242 : Algebraic Equations

Find the solution for the variable m.

346 + m = 1111

Possible Answers:

m = 765.5

m = 766

m = 755

m = 765

m = 764

Correct answer:

m = 765

Explanation:

In order to find the solution we must isolate the variable m. The first step is to subtract 346 from both sides as follows:

346 - 346 + m = 1111 - 346

0 + m = 765

m = 765

We can check the answer by plugging in our solution of 765 into the original equation.

346 + 765 = 1111

1111 = 1111

It works.

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Example Question #1 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Expand:

5(2+y)

Possible Answers:

10 + 5y

10 +y

10y

2y+5

Correct answer:

10 + 5y

Explanation:

Distribute the by multiplying it by each term inside the parentheses.

$5\cdot 2=10$

and

$5\cdot y=5y$

Therefore, 5(2 + y) = 10 + 5y.

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Example Question #31 : Identities And Properties

Simplify the expression:

(x+2)(-2)

Possible Answers:

-2x+4

2x+4

2x-4

x+4

-2x-4

Correct answer:

-2x-4

Explanation:

To solve this question you must use the distrubitive property by multiplying x by -2 and the 2 by -2, making sure to distribute the negative as well. This gives you:

x(-2)+2(-2)

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Example Question #2 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Which answer correctly simplifies this expression? 2(3x-2)

Possible Answers:

6x-2

3x^2 - 4

6x-4

5x-4

Correct answer:

6x-4

Explanation:

To simplify this expression, use the distributive property. This means that we have to multiply the 2 times both terms inside the parentheses. 2*3x = 6x , and 2*-2 = -4 . So, our answer is 6x-4 .

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All Common Core: 6th Grade Math Resources

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Common Core: 6th Grade Math : Grade 6

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

All Common Core: 6th Grade Math Resources

Example Questions

Example Question #731 : Grade 6

Example Question #231 : Algebraic Equations

Example Question #732 : Grade 6

Example Question #55 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Example Question #241 : Algebraic Equations

Example Question #57 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Example Question #242 : Algebraic Equations

Example Question #1 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Example Question #31 : Identities And Properties

Example Question #2 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

All Common Core: 6th Grade Math Resources

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