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Pre-Algebra : One-Step Equations with Integers

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Example Questions

Example Question #1 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Solve for $\displaystyle x$ :

x+7=2 $\displaystyle x+7=2$

Possible Answers:

$\displaystyle 5$

$\displaystyle -13$

$\displaystyle -5$

$\displaystyle 9$

Correct answer:

$\displaystyle -5$

Explanation:

Isolate the variable to one side.

Subtract $\displaystyle 7$ from both sides:

x+7=2 $\displaystyle x+7=2$

$\displaystyle x+7-7=2-7$

x=-5 $\displaystyle x=-5$

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Example Question #1 : One Step Equations With Integers

Solve for $\displaystyle x$ :

3x=27 $\displaystyle 3x=27$

Possible Answers:

$\displaystyle 30$

$\displaystyle 9$

$\displaystyle 24$

$\displaystyle 10$

$\displaystyle 8$

Correct answer:

$\displaystyle 9$

Explanation:

We need to isolate $\displaystyle x$ by dividing by 3.

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

Since you divided $\displaystyle 3x$ by $\displaystyle 3$ , you also have to divde $\displaystyle 27$ by $\displaystyle 3$ :

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

x=9 $\displaystyle x=9$

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

Solve for $\small x$ $\displaystyle \small x$ :

x+1=0 $\displaystyle x+1=0$

Possible Answers:

$\displaystyle -2$

$\small 1$ $\displaystyle \small 1$

$\small -1$ $\displaystyle \small -1$

$\displaystyle 0$

$\displaystyle 2$

Correct answer:

$\small -1$ $\displaystyle \small -1$

Explanation:

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

x=0-1 $\displaystyle x=0-1$ or x=-1 $\displaystyle x=-1$

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

Solve for x:

$\displaystyle x + 4 = -12$

Possible Answers:

x= 4 $\displaystyle x= 4$

x= -8 $\displaystyle x= -8$

x= -16 $\displaystyle x= -16$

x= -48 $\displaystyle x= -48$

x= -3 $\displaystyle x= -3$

Correct answer:

x= -16 $\displaystyle x= -16$

Explanation:

Step 1: isolate x

$\displaystyle x+4-4=-12-4$

x=-12-4 $\displaystyle x=-12-4$

Step 2: solve

x=-16 $\displaystyle x=-16$

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

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

Solve for $\small x$ $\displaystyle \small x$ :

$\small 8x = 64$ $\displaystyle \small 8x = 64$

Possible Answers:

Correct answer:

Explanation:

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

$\small 8x=64$ $\displaystyle \small 8x=64$

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

$\small x=8$ $\displaystyle \small x=8$

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

3x = 18 $\displaystyle 3x = 18$

Possible Answers:

$\displaystyle 7$

$\displaystyle 4$

$\displaystyle 5$

$\displaystyle 6$

Correct answer:

$\displaystyle 6$

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.

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

x=6 $\displaystyle x=6$

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

9x = 72 $\displaystyle 9x = 72$

Possible Answers:

$\displaystyle 8$

$\displaystyle 9$

$\displaystyle 6$

$\displaystyle 7$

Correct answer:

$\displaystyle 8$

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.

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

Your result shoud look like this:

x=8 $\displaystyle x=8$

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

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

Possible Answers:

$\displaystyle 1$

$\displaystyle 2$

$\displaystyle 4$

$\displaystyle 6$

Correct answer:

$\displaystyle 1$

Explanation:

Isolate the variable by dividng both sides by 2:

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

Your answer should be the following:

x= 1 $\displaystyle x= 1$

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Example Question #7 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

$\displaystyle 2x = -32$

Possible Answers:

$\displaystyle -15$

$\displaystyle 14$

$\displaystyle -16$

$\displaystyle 15$

Correct answer:

$\displaystyle -16$

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.

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

Your answer should look like this:

x=-16 $\displaystyle x=-16$

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Example Question #231 : Expressions & Equations

Solve for $\displaystyle x$ :

$\displaystyle 6x = -48$

Possible Answers:

$\displaystyle -6$

$\displaystyle -4$

$\displaystyle -8$

$\displaystyle 6$

Correct answer:

$\displaystyle -8$

Explanation:

Divide both sides of the equation by 6:

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

Your result should be:

x=-8 $\displaystyle x=-8$

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Pre-Algebra : One-Step Equations with Integers

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #1 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Example Question #1 : One Step Equations With Integers

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

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

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

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

Example Question #7 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Example Question #231 : Expressions & Equations

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