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Algebra 1 : How to solve two-step equations

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Example Questions

Example Question #1 : How To Solve Two Step Equations

Evaluate the expression (3x + 4y)³ when x = 4 and y = 2.

Possible Answers:

343

8000

800

2744

Correct answer:

8000

Explanation:

Plug in 4 for x and 2 for y, giving you (3(4) + 4(2))³, which equals (20)³, equalling 8000.

(3x + 4y)³

(3(4) + 4(2))³

(12 + 8)³

(20)³ = 8000

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Example Question #2 : How To Solve Two Step Equations

Evaluate $(x+3)^2-\frac{18}{2}$ when x = 3.

Possible Answers:

–3

Correct answer:

Explanation:

First plug 3 in for x, giving you $(6)^2-\frac{18}{2}$ . You square 6, giving you 36, then subtract (18/2), giving you 27.

$(x+3)^2-\frac{18}{2}$

$(3+3)^2-\frac{18}{2}$

(6)^2-9

36-9=27

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Example Question #3 : How To Solve Two Step Equations

Solve for .

2x - 5 = -3x - 10

Possible Answers:

x=-3

x=3

x=0

x=-1

x=1

Correct answer:

x=-1

Explanation:

2x - 5 = -3x -10

Add 5 to each side of the equation.

2x = -3x -5

Add 3x to each side of the equation.

5x = -5

Divide each side of the equation by 5.

x = -1

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Example Question #4 : How To Solve Two Step Equations

Solve for .

3n+9=0

Possible Answers:

$-\frac{1}{3}$

$\frac{1}{3}$

Correct answer:

Explanation:

3n+9=0

Subtract 9 from both sides of the equation.

3n=-9

Divide each side of the equation by 3.

$n=\frac{-9}{3}$

n=-3

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Example Question #5 : How To Solve Two Step Equations

Solve for .

$-11 - \frac{6}{x} = 13$

Possible Answers:

$\frac{1}{4}$

$-\frac{1}{4}$

Correct answer:

$-\frac{1}{4}$

Explanation:

$-11 - \frac{6}{x} = 13$

Add 11 to each side of the equation.

$-\frac{6}{x}=24$

Multiply each side of the equation by .

-6 = 24x

Divide each side of the equation by 24.

$\frac{-6}{24} = x$

Simplify

$-\frac{1}{4}$

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Example Question #4 : How To Solve Two Step Equations

Solve for :

$\small 7x+3=17$

Possible Answers:

$\small x=4$

$\small x=2$

$\small x=3$

$\small x=1$

Correct answer:

$\small x=2$

Explanation:

First, substract 3 from both sides:

$\small 7x+3-3=17-3$

$\small 7x=14$

Next, divide each side by 7:

$\small \frac{7x}{7}= \frac{14}{7}$

$\small x=2$

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Example Question #3 : How To Solve Two Step Equations

Solve for x:

5x-32=17

Possible Answers:

$1\frac{4}{49}$

$9\frac{4}{19}$

None of the available answers

$9\frac{4}{5}$

Correct answer:

$9\frac{4}{5}$

Explanation:

5x-32=17

5x-32+32=17+32

5x=49

$x=\frac{49}{5}=9\frac{4}{5}$

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Example Question #8 : How To Solve Two Step Equations

Solve for :

$\frac{4}{5}x-12=\frac{4}{3}x+13$

Possible Answers:

$-46\frac{7}{8}$

$46\frac{7}{8}$

$-46\frac{7}{15}$

None of the available answers

$-42\frac{15}{8}$

Correct answer:

$-46\frac{7}{8}$

Explanation:

$\frac{4}{5}x-12=\frac{4}{3}x+13$

$\frac{4}{5}x-\frac{4}{3}x=25$

$\frac{12}{15}x-\frac{20}{15}x=25$

$-\frac{8}{15}x=25$

$x=\frac{-15}{8}\cdot\frac{25}{1}=\frac{-375}{8}=-46\frac{7}{8}$

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Example Question #3 : How To Solve Two Step Equations

Solve for

4m+4=8

Possible Answers:

Correct answer:

Explanation:

First subtract 4 from both sides. This gives 4m = 4 . Then divide both sides by 4 to get m=1

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Example Question #2 : How To Solve Two Step Equations

Solve for :

ax-b=c

Possible Answers:

None of the other answers

$x=\frac{a}{c+b}$

x=a(c+b)

$x=\frac{c+b}{a}$

$x=\frac{c-b}{a}$

Correct answer:

$x=\frac{c+b}{a}$

Explanation:

To solve for , add to both sides to get ax=c+b . Then, divide both sides by to get $x=\frac{c+b}{a}$ .

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Algebra 1 : How to solve two-step equations

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #1 : How To Solve Two Step Equations

Example Question #2 : How To Solve Two Step Equations

Example Question #3 : How To Solve Two Step Equations

Example Question #4 : How To Solve Two Step Equations

Example Question #5 : How To Solve Two Step Equations

Example Question #4 : How To Solve Two Step Equations

Example Question #3 : How To Solve Two Step Equations

Example Question #8 : How To Solve Two Step Equations

Example Question #3 : How To Solve Two Step Equations

Example Question #2 : How To Solve Two Step Equations

All Algebra 1 Resources

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