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Pre-Algebra : One-Step Equations

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #1 : One Step Equations With Integers

Solve for :

x+7=2

Possible Answers:

Correct answer:

Explanation:

Isolate the variable to one side.

Subtract from both sides:

x+7=2

x+7-7=2-7

x=-5

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

Solve for :

3x=27

Possible Answers:

Correct answer:

Explanation:

We need to isolate by dividing by 3.

Remember, what you do on one side, you must do on the other side.

Since you divided by , you also have to divde by :

$\frac{3x}{3}= \frac{27}{3}$

x=9

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Example Question #3 : One Step Equations With Integers

Solve for $\small x$ :

x+1=0

Possible Answers:

$\small 1$

$\small -1$

Correct answer:

$\small -1$

Explanation:

To solve this you must isolate your $\small x$ by subtracting 1 from both sides to get

x=0-1 or x=-1

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Example Question #3 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Solve for x:

x + 4 = -12

Possible Answers:

x= -3

x= -48

x= -16

x= 4

x= -8

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 : One Step Equations With Integers

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 #6 : One Step Equations With Integers

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 With Integers

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 With Integers

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 With Integers

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 #10 : One Step Equations With Integers

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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Pre-Algebra : One-Step Equations

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #1 : One Step Equations With Integers

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

Example Question #3 : One Step Equations With Integers

Example Question #3 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Example Question #5 : One Step Equations With Integers

Example Question #6 : One Step Equations With Integers

Example Question #7 : One Step Equations With Integers

Example Question #8 : One Step Equations With Integers

Example Question #9 : One Step Equations With Integers

Example Question #10 : One Step Equations With Integers

All Pre-Algebra Resources

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