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Pre-Algebra : Two-Step Equations

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Example Questions

Example Question #21 : Two Step Equations With Integers

Solve for :

18x - 12 = 24

Possible Answers:

Correct answer:

Explanation:

Add 12 to both sides of the equation:

18x - 12 = 24

+12=+12

The equation should now look like this:

18x=36

Divide each side by 18:

$\frac{18x}{18}=\frac{36}{18}=2$

Your result should be:

x=2

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Example Question #21 : Two Step Equations With Integers

Solve for :

2x + 3 = 75

Possible Answers:

Correct answer:

Explanation:

Subtract 3 from both sides:

2x + 3 = 75

-3=-3

The equation should now look like this:

2x=72

Divide by 2:

$\frac{2x}{2}=\frac{72}{2}=36$

Your result should be:

x=36

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Example Question #82 : Algebraic Equations

Solve for :

6x + 2 = 32

Possible Answers:

Correct answer:

Explanation:

Subtract 2 from each side:

6x + 2 = 32

-2=-2

The equation should now look like this:

6x=30

Divide by 6:

$\frac{6x}{6}=\frac{30}{6}=5$

x=5

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Example Question #22 : Two Step Equations With Integers

Solve for :

16x + 24 = 88

Possible Answers:

Correct answer:

Explanation:

Subtract 24 from both sides of the equation:

16x + 24 = 88

-24=-24

The equation should now look like this:

16x = 64

Then, isolate the variable by dividing by :

$\frac{16x}{16}=\frac{64}{16}=4$

Your result should be:

x=4

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Example Question #22 : Two Step Equations With Integers

Solve for :

2x - 6 = -12

Possible Answers:

Correct answer:

Explanation:

Add 6 to both sides:

2x - 6 = -12

+6=+6

The equation should now look like this:

2x=-6

Divide by 2:

$\frac{2x}{2}=\frac{-6}{2}=-3$

Your result should be:

x=-3

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Example Question #23 : Two Step Equations With Integers

Solve for :

62x + 12 = 50x

Possible Answers:

Correct answer:

Explanation:

Subtract 62x from both sides of the equation:

62x + 12 = 50x

-62x -62x

The equation should now look like this:

12 = -12x

Then, isolate the variable by moving the to the other side of the equation as well. Do this by dividing:

$\frac{12}{-12}=\frac{-12x}{-12}$

Your result should be:

x=-1

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Example Question #23 : Two Step Equations With Integers

Solve for :

6x = 4x + 44

Possible Answers:

Correct answer:

Explanation:

Subtract from both sides of the equation:

6x = 4x + 44

The equation should now look like this:

2x=44

Then, divide both sides by 2:

$\frac{2x}{2}=\frac{44}{2}=22$

Your result should be:

x=22

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Example Question #24 : Two Step Equations With Integers

Solve for :

4n+2=-6

Possible Answers:

n=2

n=1

n=-2

n=-1

Correct answer:

n=-2

Explanation:

4n+2=-6

Subtract 2 from both sides:

4n+2-2=-6-2

4n=-8

Divide by 4:

$\frac{4n}{4}=\frac{-8}{4}$

n=-2

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Example Question #25 : Two Step Equations With Integers

Solve for

3x-2=19

Possible Answers:

Correct answer:

Explanation:

In order to isolate , we first have to add 2 to both sides:

3x=19+2

3x=21

We then divide by 3:

$x=\frac{21}{3}=7$

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Example Question #24 : Two Step Equations With Integers

Solve for :

$\small 2x-5=3$

Possible Answers:

$\small -2$

$\small 16$

$\small 4$

$\small -1$

$\small 8$

Correct answer:

$\small 4$

Explanation:

To isolate , we must move all other numbers to the other side of the equation. Recall that the order of operations is parentheses, exponents, multiplication, division, addition, and subtraction (PEMDAS) and when solving equations, we must follow these in the reverse order. Therefore, here, we begin by moving the 5 to the right hand side.

$\small 2x-5+5=3+5$

$\small 2x=8$

Next, we must divide by 2 to solve for .

$\small \frac{2x}{2}=\frac{8}{2}$

$\small x=4$

Therefore, our answer is $\small x=4$ .

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Pre-Algebra : Two-Step Equations

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #21 : Two Step Equations With Integers

Example Question #21 : Two Step Equations With Integers

Example Question #82 : Algebraic Equations

Example Question #22 : Two Step Equations With Integers

Example Question #22 : Two Step Equations With Integers

Example Question #23 : Two Step Equations With Integers

Example Question #23 : Two Step Equations With Integers

Example Question #24 : Two Step Equations With Integers

Example Question #25 : Two Step Equations With Integers

Example Question #24 : Two Step Equations With Integers

All Pre-Algebra Resources

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