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Common Core: 6th Grade Math : Identify Equivalent Expressions: CCSS.Math.Content.6.EE.A.4

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Example Questions

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

Which expression equals 2x? $\displaystyle 2x?$

Possible Answers:

x+x $\displaystyle x+x$

2x^2 $\displaystyle 2x^2$

x^4 $\displaystyle x^4$

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

$\displaystyle 4x$

Correct answer:

x+x $\displaystyle x+x$

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

Which expression equals 3x? $\displaystyle 3x?$

Possible Answers:

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

$\displaystyle 6x$

x^3 $\displaystyle x^3$

$\displaystyle 9x$

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

Correct answer:

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

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

Which expression equals 4x? $\displaystyle 4x?$

Possible Answers:

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

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

$\displaystyle 2x$

$\displaystyle 5x$

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

Correct answer:

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

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

Which expression equals 10x? $\displaystyle 10x?$

Possible Answers:

x^5 $\displaystyle x^5$

x^2+x^5 $\displaystyle x^2+x^5$

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

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

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

Correct answer:

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

Explanation:

10x $\displaystyle 10x$ is equal to $\displaystyle x+x+x+x+x+x+x+x+x+x$ 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 $\displaystyle x=2$

$\displaystyle 10(2)=20$ and $\displaystyle 2+2+2+2+2+2+2+2++2+2=20$

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

$\displaystyle 10(3)=30$ and $\displaystyle 3+3+3+3+3+3+3+3+3+3+=30$

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

$\displaystyle 10x=x+x+x+x+x+x+x+x++x+x$

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

Which expression equals 12x? $\displaystyle 12x?$

Possible Answers:

$\displaystyle 9x$

72x $\displaystyle 72x$

$\displaystyle 6x$

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

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

Correct answer:

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

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

Which expression equals 5x? $\displaystyle 5x?$

Possible Answers:

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

10x $\displaystyle 10x$

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

x^5 $\displaystyle x^5$

x^2 $\displaystyle x^2$

Correct answer:

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

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.

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

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Example Question #7 : Identify Equivalent Expressions: Ccss.Math.Content.6.Ee.A.4

Which expression equals 11x? $\displaystyle 11x?$

Possible Answers:

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

$\displaystyle x$

22x $\displaystyle 22x$

33x $\displaystyle 33x$

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

Correct answer:

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

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.

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

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Example Question #8 : Identify Equivalent Expressions: Ccss.Math.Content.6.Ee.A.4

Which expression equals 6x? $\displaystyle 6x?$

Possible Answers:

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

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

x^3 $\displaystyle x^3$

x^6 $\displaystyle x^6$

3x^2 $\displaystyle 3x^2$

Correct answer:

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

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.

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

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Example Question #2 : Identify Equivalent Expressions: Ccss.Math.Content.6.Ee.A.4

Which expression equals 7x? $\displaystyle 7x?$

Possible Answers:

x^7 $\displaystyle x^7$

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

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

4x^3 $\displaystyle 4x^3$

14x $\displaystyle 14x$

Correct answer:

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

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.

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

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

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

Possible Answers:

x-x $\displaystyle x-x$

$\displaystyle x$

x^2 $\displaystyle x^2$

x+x $\displaystyle x+x$

10x $\displaystyle 10x$

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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Common Core: 6th Grade Math : Identify Equivalent Expressions: CCSS.Math.Content.6.EE.A.4

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

All Common Core: 6th Grade Math Resources

Example Questions

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

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All Common Core: 6th Grade Math Resources

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