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

Select the expression that is equal to 10(5+x)

Possible Answers:

50x

60x

15+10x

50+10x

15+x

Correct answer:

50+10x

Explanation:

To solve this problem we need to use the distributive property. This property is used to multiply a term outside of a set of parentheses by each of the terms in the parentheses.

$10\times5=50$

$10\times x=10x$

Now we have 50+10x

This expression is simplified because we cannot add to because has a variable (x) attached to it.

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Example Question #45 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Select the expression that is equal to 11(4+x)

Possible Answers:

26+x

44+11x

15+11x

26x

55x

Correct answer:

44+11x

Explanation:

To solve this problem we need to use the distributive property. This property is used to multiply a term outside of a set of parentheses by each of the terms in the parentheses.

$11\times4=44$

$11\times x=11x$

Now we have 44+11x

This expression is simplified because we cannot add to because has a variable (x) attached to it.

Report an Error

Example Question #46 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Select the expression that is equal to 12(8+x)

Possible Answers:

108x

96+12x

20+x

96x

108+x

Correct answer:

96+12x

Explanation:

To solve this problem we need to use the distributive property. This property is used to multiply a term outside of a set of parentheses by each of the terms in the parentheses.

$12\times8=96$

$12\times x=12x$

Now we have 96+12x

This expression is simplified because we cannot add to because has a variable (x) attached to it.

Report an Error

Example Question #47 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Select the expression that is equal to 2(9+x)

Possible Answers:

18+2x

11+2x

21x

11x

13x

Correct answer:

18+2x

Explanation:

To solve this problem we need to use the distributive property. This property is used to multiply a term outside of a set of parentheses by each of the terms in the parentheses.

$2\times9=18$

$2\times x=2x$

Now we have 18+2x

This expression is simplified because we cannot add to because has a variable (x) attached to it.

Report an Error

Example Question #1 : Identify Equivalent Expressions: Ccss.Math.Content.6.Ee.A.4

Which expression equals 2x?

Possible Answers:

x+x+x+x

x+x

2x^2

x^4

Correct answer:

x+x

Explanation:

is equal to x+x because both expressions will name the same number, no matter which number stands for.

Let's do a couple of samples!

Solve for x=2

2(2)=4 and 2+2=4

Solve for x=5

2(5)=10 and 5+5=10

As you can see, both expressions equaled the same value.

2x=x+x

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Example Question #1 : Identify Equivalent Expressions: Ccss.Math.Content.6.Ee.A.4

Which expression equals 3x?

Possible Answers:

x^3

x+x+x

x+x+x+x

Correct answer:

x+x+x

Explanation:

is equal to x+x+x because both expressions will name the same number, no matter which number stands for.

Let's do a couple of samples!

Solve for x=2

3(2)=6 and 2+2+2=6

Solve for x=4

3(4)=12 and 4+4+4=12

As you can see, both expressions equaled the same value.

3x=x+x+x

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Example Question #3 : Identify Equivalent Expressions: Ccss.Math.Content.6.Ee.A.4

Which expression equals 4x?

Possible Answers:

x+x+x+x+x

x+x+x+x

x+x+x

Correct answer:

x+x+x+x

Explanation:

is equal to x+x+x+x because both expressions will name the same number, no matter which number stands for.

Let's do a couple of samples!

Solve for x=2

4(2)=8 and 2+2+2+2=8

Solve for x=5

4(5)=20 and 5+5+5+5=20

As you can see, both expressions equaled the same value.

4x=x+x+x+x

Report an Error

Example Question #1 : Identify Equivalent Expressions: Ccss.Math.Content.6.Ee.A.4

Which expression equals 10x?

Possible Answers:

9x+1

x+x+x+x+x+x+x+x+x+x

$x^{10}$

x^5

x^2+x^5

Correct answer:

x+x+x+x+x+x+x+x+x+x

Explanation:

10x is equal to x+x+x+x+x+x+x+x+x+x because both expressions will name the same number, no matter which number stands for.

Let's do a couple of samples!

Solve for x=2

10(2)=20 and 2+2+2+2+2+2+2+2++2+2=20

Solve for x=3

10(3)=30 and 3+3+3+3+3+3+3+3+3+3+=30

As you can see, both expressions equaled the same value.

10x=x+x+x+x+x+x+x+x++x+x

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Example Question #5 : Identify Equivalent Expressions: Ccss.Math.Content.6.Ee.A.4

Which expression equals 12x?

Possible Answers:

x+x+x+x+x+x+x+x+x+x+x+x

72x

$x^{12}$

Correct answer:

x+x+x+x+x+x+x+x+x+x+x+x

Explanation:

12x is equal to x+x+x+x+x+x+x+x+x+x+x+x because both expressions will name the same number, no matter which number stands for.

Let's do a couple of samples!

Solve for x=4

12(4)=48 and 4+4+4+4+4+4+4+4+4+4+4+4=48

Solve for x=6

12(6)=72 and 6+6+6+6+6+6+6+6+6+6+6+6=72

As you can see, both expressions equaled the same value.

12x=x+x+x+x+x+x+x+x+x+x+x+x

Report an Error

Example Question #6 : Identify Equivalent Expressions: Ccss.Math.Content.6.Ee.A.4

Which expression equals 5x?

Possible Answers:

x^2

10x

x^5

x+x+x+x+x

4x+1

Correct answer:

x+x+x+x+x

Explanation:

is equal to x+x+x+x+x because both expressions will name the same number, no matter which number stands for.

Let's do a couple of samples!

Solve for x=3

5(3)=15 and 3+3+3+3+3=15

Solve for x=5

5(5)=25 and 5+5+5+5+5=25

As you can see, both expressions equaled the same value.

5x=x+x+x+x+x

Report an Error

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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 : Grade 6

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

All Common Core: 6th Grade Math Resources

Example Questions

Example Question #41 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Example Question #45 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Example Question #46 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Example Question #47 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Example Question #1 : Identify Equivalent Expressions: Ccss.Math.Content.6.Ee.A.4

Example Question #1 : Identify Equivalent Expressions: Ccss.Math.Content.6.Ee.A.4

Example Question #3 : Identify Equivalent Expressions: Ccss.Math.Content.6.Ee.A.4

Example Question #1 : Identify Equivalent Expressions: Ccss.Math.Content.6.Ee.A.4

Example Question #5 : Identify Equivalent Expressions: Ccss.Math.Content.6.Ee.A.4

Example Question #6 : Identify Equivalent Expressions: Ccss.Math.Content.6.Ee.A.4

All Common Core: 6th Grade Math Resources

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