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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 #763 : Grade 6

Select the expression that is equal to 1(6+x)

Possible Answers:

6+x

7+x

Correct answer:

6+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.

$1\times6=6$

$1\times x=x$

Now we have 6+x

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

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Example Question #761 : Grade 6

Select the expression that is equal to 5(3+x)

Possible Answers:

20x

8+6x

15+5x

8+5x

15+6x

Correct answer:

15+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.

$5\times3=15$

$5\times x=5x$

Now we have 15+5x

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

Report an Error

Example Question #762 : Grade 6

Select the expression that is equal to 6(8+x)

Possible Answers:

14+6x

54x

14+7x

48+6x

42+6x

Correct answer:

48+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.

$6\times8=48$

$6\times x=6x$

Now we have 48+6x

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

Report an Error

Example Question #311 : Expressions & Equations

Select the expression that is equal to 7(4+x)

Possible Answers:

11+8x

28+8x

11+7x

28+7x

18x

Correct answer:

28+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.

$7\times4=28$

$7\times x=7x$

Now we have 28+7x

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

Report an Error

Example Question #31 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Select the expression that is equal to 8(5+x)

Possible Answers:

13x

13+8x

40+9x

48x

40+8x

Correct answer:

40+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.

$8\times5=40$

$8\times x=8x$

Now we have 40+8x

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

Report an Error

Example Question #32 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Select the expression that is equal to 9(6+x)

Possible Answers:

63x

24x

54+9x

15+9x

15+10x

Correct answer:

54+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.

$9\times6=54$

$9\times x=9x$

Now we have 54+9x

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

Report an Error

Example Question #31 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Select the expression that is equal to 10(4+x)

Possible Answers:

40+10x

24x

50x

14+10x

14+11x

Correct answer:

40+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.

$10\times4=40$

$10\times x=10x$

Now we have 40+10x

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

Report an Error

Example Question #31 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Select the expression that is equal to 11(3+x)

Possible Answers:

12x

44x

14+11x

33+11x

14x

Correct answer:

33+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.

$11\times3=33$

$11\times x=11x$

Now we have 33+11x

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

Report an Error

Example Question #319 : Expressions & Equations

Select the expression that is equal to 12(7+x)

Possible Answers:

19+12x

96x

31x

84+12x

19x

Correct answer:

84+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.

$12\times7=84$

$12\times x=12x$

Now we have 84+12x

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

Report an Error

Example Question #311 : Expressions & Equations

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

Possible Answers:

8+4x

16+5x

12x

20x

16+4x

Correct answer:

16+4x

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.

$4\times4=16$

$4\times x=4x$

Now we have 16+4x

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 : Expressions & Equations

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

All Common Core: 6th Grade Math Resources

Example Questions

Example Question #763 : Grade 6

Example Question #761 : Grade 6

Example Question #762 : Grade 6

Example Question #311 : Expressions & Equations

Example Question #31 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Example Question #32 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Example Question #31 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Example Question #31 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Example Question #319 : Expressions & Equations

Example Question #311 : Expressions & Equations

All Common Core: 6th Grade Math Resources

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