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

Which expression equals 1x? $\displaystyle 1x?$

Possible Answers:

x-x $\displaystyle x-x$

$\displaystyle x$

10x $\displaystyle 10x$

x^2 $\displaystyle x^2$

x+x $\displaystyle x+x$

Correct answer:

$\displaystyle x$

Explanation:

$\displaystyle 1x$ is equal to $\displaystyle x$ because both expressions will name the same number, no matter which number $\displaystyle x$ stands for.

Let's do a couple of samples!

Solve for x=2 $\displaystyle x=2$

1(2)=2 $\displaystyle 1(2)=2$ and 2=2 $\displaystyle 2=2$

Solve for x=5 $\displaystyle x=5$

1(5)=5 $\displaystyle 1(5)=5$ and 5=5 $\displaystyle 5=5$

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

1x=x $\displaystyle 1x=x$

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Example Question #341 : Expressions & Equations

Which expression equals 8x? $\displaystyle 8x?$

Possible Answers:

4x+4 $\displaystyle 4x+4$

x^8 $\displaystyle x^8$

x^4 $\displaystyle x^4$

$\displaystyle x+x+x+x+x+x+x+x$

x+x+x+x $\displaystyle x+x+x+x$

Correct answer:

$\displaystyle x+x+x+x+x+x+x+x$

Explanation:

$\displaystyle 8x$ is equal to $\displaystyle x+x+x+x+x+x+x+x$ because both expressions will name the same number, no matter which number $\displaystyle x$ stands for.

Let's do a couple of samples!

Solve for x=3 $\displaystyle x=3$

8(3)=24 $\displaystyle 8(3)=24$ and $\displaystyle 3+3+3+3+3+3+3+3=24$

Solve for x=6 $\displaystyle x=6$

8(5)=48 $\displaystyle 8(5)=48$ and $\displaystyle 6+6+6+6+6+6+6+6=48$

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

$\displaystyle 8x=x+x+x+x+x+x+x+x$

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Example Question #342 : Expressions & Equations

Which expression equals $\displaystyle x+x+x+x?$

Possible Answers:

x^4 $\displaystyle x^4$

3x+1 $\displaystyle 3x+1$

$\displaystyle 2x$

8x-6 $\displaystyle 8x-6$

$\displaystyle 4x$

Correct answer:

$\displaystyle 4x$

Explanation:

$\displaystyle 4x$ is equal to x+x+x+x $\displaystyle x+x+x+x$ because both expressions will name the same number, no matter which number $\displaystyle x$ stands for.

Let's do a couple of samples!

Solve for x=2 $\displaystyle x=2$

4(2)=8 $\displaystyle 4(2)=8$ and $\displaystyle 2+2+2+2=8$

Solve for x=5 $\displaystyle x=5$

4(5)=20 $\displaystyle 4(5)=20$ and $\displaystyle 5+5+5+5=20$

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

$\displaystyle 4x=x+x+x+x$

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Example Question #343 : Expressions & Equations

Which expression equals x+x? $\displaystyle x+x?$

Possible Answers:

2x+2 $\displaystyle 2x+2$

4x-2 $\displaystyle 4x-2$

x+x+x+x $\displaystyle x+x+x+x$

$\displaystyle 4x$

$\displaystyle 2x$

Correct answer:

$\displaystyle 2x$

Explanation:

$\displaystyle 2x$ is equal to x+x $\displaystyle x+x$ because both expressions will name the same number, no matter which number $\displaystyle x$ stands for.

Let's do a couple of samples!

Solve for x=2 $\displaystyle x=2$

2(2)=4 $\displaystyle 2(2)=4$ and 2+2=4 $\displaystyle 2+2=4$

Solve for x=5 $\displaystyle x=5$

2(5)=10 $\displaystyle 2(5)=10$ and 5+5=10 $\displaystyle 5+5=10$

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

2x=x+x $\displaystyle 2x=x+x$

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Example Question #344 : Expressions & Equations

Which expression equals x+x+x? $\displaystyle x+x+x?$

Possible Answers:

$\displaystyle 3x$

4x+1 $\displaystyle 4x+1$

x+x $\displaystyle x+x$

3x+1 $\displaystyle 3x+1$

x^4 $\displaystyle x^4$

Correct answer:

$\displaystyle 3x$

Explanation:

$\displaystyle 3x$ is equal to x+x+x $\displaystyle x+x+x$ because both expressions will name the same number, no matter which number $\displaystyle x$ stands for.

Let's do a couple of samples!

Solve for x=2 $\displaystyle x=2$

3(2)=6 $\displaystyle 3(2)=6$ and 2+2+2=6 $\displaystyle 2+2+2=6$

Solve for x=4 $\displaystyle x=4$

3(4)=12 $\displaystyle 3(4)=12$ and $\displaystyle 4+4+4=12$

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

$\displaystyle 3x=x+x+x$

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Example Question #341 : Expressions & Equations

Which expression equals $\displaystyle x+x+x+x+x+x+x+x+x+x+x+x?$

Possible Answers:

10x $\displaystyle 10x$

12x $\displaystyle 12x$

$x^{12}$ $\displaystyle x^{12}$

9x+1 $\displaystyle 9x+1$

$x^{10}$ $\displaystyle x^{10}$

Correct answer:

12x $\displaystyle 12x$

Explanation:

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

Let's do a couple of samples!

Solve for x=4 $\displaystyle x=4$

$\displaystyle 12(4)=48$ and $\displaystyle 4+4+4+4+4+4+4+4+4+4+4+4=48$

Solve for x=6 $\displaystyle x=6$

$\displaystyle 12(6)=72$ and $\displaystyle 6+6+6+6+6+6+6+6+6+6+6+6=72$

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

$\displaystyle 12x=x+x+x+x+x+x+x+x+x+x+x+x$

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Example Question #346 : Expressions & Equations

Which expression equals $\displaystyle x+x+x+x+x?$

Possible Answers:

x^6 $\displaystyle x^6$

$\displaystyle 5x$

$\displaystyle 4x$

x^4 $\displaystyle x^4$

$\displaystyle 6x$

Correct answer:

$\displaystyle 5x$

Explanation:

$\displaystyle 5x$ is equal to $\displaystyle x+x+x+x+x$ because both expressions will name the same number, no matter which number $\displaystyle x$ stands for.

Let's do a couple of samples!

Solve for x=3 $\displaystyle x=3$

5(3)=15 $\displaystyle 5(3)=15$ and $\displaystyle 3+3+3+3+3=15$

Solve for x=5 $\displaystyle x=5$

5(5)=25 $\displaystyle 5(5)=25$ and $\displaystyle 5+5+5+5+5=25$

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

$\displaystyle 5x=x+x+x+x+x$

Report an Error

Example Question #347 : Expressions & Equations

Which expression equals $\displaystyle x+x+x+x+x+x+x+x+x+x+x?$

Possible Answers:

13x $\displaystyle 13x$

$x^{11}$ $\displaystyle x^{11}$

12x $\displaystyle 12x$

11x $\displaystyle 11x$

$x^{12}$ $\displaystyle x^{12}$

Correct answer:

11x $\displaystyle 11x$

Explanation:

11x $\displaystyle 11x$ is equal to $\displaystyle x+x+x+x+x+x+x+x+x+x+x$ because both expressions will name the same number, no matter which number $\displaystyle x$ stands for.

Let's do a couple of samples!

Solve for x=2 $\displaystyle x=2$

$\displaystyle 11(2)=22$ and $\displaystyle 2+2+2+2+2+2+2+2+2+2+2=22$

Solve for x=3 $\displaystyle x=3$

1(3)=33 $\displaystyle 1(3)=33$ and $\displaystyle 3+3+3+3+3+3+3+3+3+3+3=33$

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

$\displaystyle 11x=x+x+x+x+x+x+x+x+x+x+x$

Report an Error

Example Question #348 : Expressions & Equations

Which expression equals $\displaystyle x+x+x+x+x+x?$

Possible Answers:

5x+1 $\displaystyle 5x+1$

$\displaystyle 6x$

x^6 $\displaystyle x^6$

$\displaystyle 5x$

4x+1 $\displaystyle 4x+1$

Correct answer:

$\displaystyle 6x$

Explanation:

$\displaystyle 6x$ is equal to $\displaystyle x+x+x+x+x+x$ because both expressions will name the same number, no matter which number $\displaystyle x$ stands for.

Let's do a couple of samples!

Solve for x=2 $\displaystyle x=2$

6(2)=12 $\displaystyle 6(2)=12$ and $\displaystyle 2+2+2+2+2+2=12$

Solve for x=4 $\displaystyle x=4$

6(4)=24 $\displaystyle 6(4)=24$ and $\displaystyle 4+4+4+4+4+4=24$

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

$\displaystyle 6x=x+x+x+x+x+x$

Report an Error

Example Question #349 : Expressions & Equations

Which expression equals $\displaystyle x+x+x+x+x+x+x?$

Possible Answers:

$\displaystyle 6x$

5x+1 $\displaystyle 5x+1$

x^5 $\displaystyle x^5$

x^7 $\displaystyle x^7$

$\displaystyle 7x$

Correct answer:

$\displaystyle 7x$

Explanation:

$\displaystyle 7x$ is equal to $\displaystyle x+x+x+x+x+x+x$ because both expressions will name the same number, no matter which number $\displaystyle x$ stands for.

Let's do a couple of samples!

Solve for x=3 $\displaystyle x=3$

7(3)=21 $\displaystyle 7(3)=21$ and $\displaystyle 3+3+3+3+3+3+3=21$

Solve for x=4 $\displaystyle x=4$

7(4)=28 $\displaystyle 7(4)=28$ and $\displaystyle 4+4+4+4+4+4+4=28$

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

$\displaystyle 7x=x+x+x+x+x+x+x$

Report an Error

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

Example Question #341 : Expressions & Equations

Example Question #342 : Expressions & Equations

Example Question #343 : Expressions & Equations

Example Question #344 : Expressions & Equations

Example Question #341 : Expressions & Equations

Example Question #346 : Expressions & Equations

Example Question #347 : Expressions & Equations

Example Question #348 : Expressions & Equations

Example Question #349 : Expressions & Equations

All Common Core: 6th Grade Math Resources

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