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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 #4 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Solve for x:

x + 4 = -12

Possible Answers:

x= -48

x= -16

x= 4

x= -8

x= -3

Correct answer:

x= -16

Explanation:

Step 1: isolate x

x+4-4=-12-4

x=-12-4

Step 2: solve

x=-16

If it's helpful, when you subtract a positive integer from a negative integer, you can think of it in terms of absolute value:

$-12-4=-\left | 12+4\right |=-\left | 16\right |=-16$

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Example Question #5 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Solve for $\small x$ :

$\small 8x = 64$

Possible Answers:

Correct answer:

Explanation:

To solve this equation, isolate $\small x$ by dividing both sides of the equation by 8:

$\small 8x=64$

$\small \frac{8x}{8}= \frac{64}{8}$

$\small x=8$

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Example Question #1 : One Step Equations

3x = 18

Possible Answers:

Correct answer:

Explanation:

To solve this equation, isolate the variable. Since 3x is a multiplication operation, do the opposite (division) to remove the 3. Keep in mind that you must do the same step on each side of the equation every time you change something.

$\frac{3x}{3} = \frac{18}{3} = 6$

x=6

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Example Question #7 : One Step Equations

9x = 72

Possible Answers:

Correct answer:

Explanation:

To solve this equation, you must isolate the variable. In order to do this, do the opposite operation (division) to move the 9 to the other side of the equation. Keep in mind you must do the same step on each side of the equation every time you change something.

$\frac{9x}{9}=\frac{72}{9}=8$

Your result shoud look like this:

x=8

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Example Question #8 : One Step Equations

2=2x

Possible Answers:

Correct answer:

Explanation:

Isolate the variable by dividng both sides by 2:

$\frac{2}{2}=\frac{2x}{2} =1$

Your answer should be the following:

x= 1

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Example Question #9 : One Step Equations

2x = -32

Possible Answers:

Correct answer:

Explanation:

To solve this equation, isolate the variable. To do this, move the 2 to the other side of the equation. Do this by doing the opposite operation (division). Keep in mind you must do the same step on each side of the equation every time you change something.

$\frac{2x}{2}=\frac{-32}{2}=-16$

Your answer should look like this:

x=-16

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Example Question #681 : Grade 6

Solve for : -7x=-35

Possible Answers:

$x=\frac{7}{35}$

x=5

x=-5

$x=-\frac{7}{35}$

Correct answer:

x=5

Explanation:

-7x=-35

$\frac{-7x}{-7}=\frac{-35}{-7}$

x=5

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Example Question #11 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Solve for :

6x = -48

Possible Answers:

Correct answer:

Explanation:

Divide both sides of the equation by 6:

$\frac{6x}{6}=\frac{-48}{6}=-8$

Your result should be:

x=-8

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Example Question #232 : Expressions & Equations

Solve for :

2x + 5 = 3x

Possible Answers:

Correct answer:

Explanation:

Subtract from both sides:

2x + 5 = 3x

-2x -2x

Your result should be:

x=5

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Example Question #191 : Algebraic Equations

Solve for :

x + 23 = 43

Possible Answers:

Correct answer:

Explanation:

Subtract 23 from both sides:

x + 23 = 43

Your result should be:

x=20

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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 #4 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Example Question #5 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Example Question #1 : One Step Equations

Example Question #7 : One Step Equations

Example Question #8 : One Step Equations

Example Question #9 : One Step Equations

Example Question #681 : Grade 6

Example Question #11 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Example Question #232 : Expressions & Equations

Example Question #191 : Algebraic Equations

All Common Core: 6th Grade Math Resources

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