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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 #751 : Grade 6

Select the expression that is equal to 3(6+x)

Possible Answers:

9+3x

12x

18+3x

18+4x

Correct answer:

18+3x

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.

$3\times6=18$

$3\times x=3x$

Now we have 18+3x

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

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Example Question #293 : Expressions & Equations

Select the expression that is equal to 1(5+x)

Possible Answers:

5+x

6+1x

Correct answer:

5+x

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.

$1\times5=5$

$1\times x=x$

Now we have 5+x

This expression is simplified because we cannot add to because we cannot add a number to a variable.

Report an Error

Example Question #294 : Expressions & Equations

Select the expression that is equal to 5(2+x)

Possible Answers:

7+6x

7+5x

10+5x

10+6x

15x

Correct answer:

10+5x

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.

$5\times2=10$

$5\times x=5x$

Now we have 10+5x

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

Report an Error

Example Question #301 : Expressions & Equations

Select the expression that is equal to 6(7+x)

Possible Answers:

42+6x

48+6x

48+7x

42+7x

48x

Correct answer:

42+6x

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.

$6\times7=42$

$6\times x=6x$

Now we have 42+6x

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

Report an Error

Example Question #11 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Select the expression that is equal to 7(3+x)

Possible Answers:

28x

10+6x

21+7x

21+3x

10+7x

Correct answer:

21+7x

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.

$7\times3=21$

$7\times x=7x$

Now we have 21+7x

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

Report an Error

Example Question #303 : Expressions & Equations

Select the expression that is equal to 8(4+x)

Possible Answers:

12+9x

12+8x

40x

32+8x

24+8x

Correct answer:

32+8x

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.

$8\times4=32$

$8\times x=8x$

Now we have 32+8x

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

Report an Error

Example Question #754 : Grade 6

Select the expression that is equal to 9(5+x)

Possible Answers:

45+9x

45+10x

23x

14+9x

54x

Correct answer:

45+9x

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.

$9\times5=45$

$9\times x=9x$

Now we have 45+9x

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

Report an Error

Example Question #304 : Expressions & Equations

Select the expression that is equal to 10(3+x)

Possible Answers:

13x

40x

13+10x

30+10x

13+11x

Correct answer:

30+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.

$10\times3=30$

$10\times x=10x$

Now we have 30+10x

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

Report an Error

Example Question #305 : Expressions & Equations

Select the expression that is equal to 11(2+x)

Possible Answers:

13x

22+11x

21+11x

12+11x

33x

Correct answer:

22+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.

$11\times2=22$

$11\times x=11x$

Now we have 22+11x

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

Report an Error

Example Question #753 : Grade 6

Select the expression that is equal to 12(6+x)

Possible Answers:

18+13x

72+12x

84x

18+12x

31x

Correct answer:

72+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.

$12\times6=72$

$12\times x=12x$

Now we have 72+12x

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

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 #751 : Grade 6

Example Question #293 : Expressions & Equations

Example Question #294 : Expressions & Equations

Example Question #301 : Expressions & Equations

Example Question #11 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Example Question #303 : Expressions & Equations

Example Question #754 : Grade 6

Example Question #304 : Expressions & Equations

Example Question #305 : Expressions & Equations

Example Question #753 : Grade 6

All Common Core: 6th Grade Math Resources

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