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

Which expression equals

Possible Answers:

x^2

x-x

1x+1

1x-1

Correct answer:

Explanation:

is equal to 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

1(2)=2 and 2=2

Solve for x=5

1(5)=5 and 5=5

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

1x=x

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Example Question #351 : Expressions & Equations

Which expression equals x+x+x+x+x+x+x+x++x?

Possible Answers:

5x+4

12x

5+4

x^9

Correct answer:

Explanation:

is equal to 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

9(2)=18 and 2+2+2+2+2+2+2+2+2=18

Solve for x=3

9(3)=27 and 3+3+3+3+3+3+3+3+3=27

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

9x=x+x+x+x+x+x+x+x+x

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Example Question #806 : Grade 6

Which expression equals x+x+x+x+x+x+x+x?

Possible Answers:

10x+1

9x+1

10x

Correct answer:

Explanation:

is equal to 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=3

8(3)=24 and 3+3+3+3+3+3+3+3=24

Solve for x=6

8(5)=48 and 6+6+6+6+6+6+6+6=48

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

8x=x+x+x+x+x+x+x+x

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Example Question #352 : Expressions & Equations

Which expression equals x+x+x+x+x+x+x+x+x+x?

Possible Answers:

10x

x^9

9x+1

10x+1

Correct answer:

10x

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 #353 : Expressions & Equations

Which expression equals 9x?

Possible Answers:

x+x+x+x+x

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

21x

x^4

9x^3

Correct answer:

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

Explanation:

is equal to 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

9(2)=18 and 2+2+2+2+2+2+2+2+2=18

Solve for x=3

9(3)=27 and 3+3+3+3+3+3+3+3+3=27

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

9x=x+x+x+x+x+x+x+x+x

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Example Question #354 : Expressions & Equations

Which value for would make the equation below true?

36=7+x

Possible Answers:

Correct answer:

Explanation:

We can use substitution to determine the value of .

${\color{Teal} 7+29=36}$

7+30=37

7+28=35

7+27=34

7+26=33

Because we are looking for the number that when added to equals , our correct answer is

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Example Question #1 : Understand What Makes An Equation Or Inequality True And Why: Ccss.Math.Content.6.Ee.B.5

Which value for would make the equation below true?

21=18+x

Possible Answers:

Correct answer:

Explanation:

We can use substitution to determine the value of .

${\color{Teal} 18+3=21}$

18+2=20

18+1=19

18+4=22

18+5=23

Because we are looking for the number that when added to equals 3621 , our correct answer is

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Example Question #1 : Understand What Makes An Equation Or Inequality True And Why: Ccss.Math.Content.6.Ee.B.5

Which value for would make the equation below true?

26=19+x

Possible Answers:

Correct answer:

Explanation:

We can use substitution to determine the value of .

${\color{Teal} 19+7=26}$

19+6=25

19+5=24

19+4=23

19+3=22

Because we are looking for the number that when added to equals , our correct answer is

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Example Question #3 : Understand What Makes An Equation Or Inequality True And Why: Ccss.Math.Content.6.Ee.B.5

Which value for would make the equation below true?

52=28+x

Possible Answers:

Correct answer:

Explanation:

We can use substitution to determine the value of .

${\color{Teal} 28+24=52}$

28+23=51

28+25=53

28+26=54

28+27=55

Because we are looking for the number that when added to equals , our correct answer is

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Example Question #5 : Understand What Makes An Equation Or Inequality True And Why: Ccss.Math.Content.6.Ee.B.5

Which value for would make the equation below true?

36=14+x

Possible Answers:

Correct answer:

Explanation:

We can use substitution to determine the value of .

${\color{Teal} 14+22=36}$

14+23=37

14+24=38

14+25=39

14+26=40

Because we are looking for the number that when added to equals , our correct answer is

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

Example Question #351 : Expressions & Equations

Example Question #806 : Grade 6

Example Question #352 : Expressions & Equations

Example Question #353 : Expressions & Equations

Example Question #354 : Expressions & Equations

Example Question #1 : Understand What Makes An Equation Or Inequality True And Why: Ccss.Math.Content.6.Ee.B.5

Example Question #1 : Understand What Makes An Equation Or Inequality True And Why: Ccss.Math.Content.6.Ee.B.5

Example Question #3 : Understand What Makes An Equation Or Inequality True And Why: Ccss.Math.Content.6.Ee.B.5

Example Question #5 : Understand What Makes An Equation Or Inequality True And Why: Ccss.Math.Content.6.Ee.B.5

All Common Core: 6th Grade Math Resources

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