Algebra 1 : How to solve two-step equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

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Example Question #1 : How To Solve Two Step Equations

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

Possible Answers:

800

2744

343

8000

64

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

Example Question #2 : How To Solve Two Step Equations

Evaluate when x = 3.

Possible Answers:

0

3

–3

9

27

Correct answer:

27

Explanation:

First plug 3 in for x, giving you . You square 6, giving you 36, then subtract (18/2), giving you 27.

Example Question #3 : How To Solve Two Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

Add 5 to each side of the equation.

Add 3x to each side of the equation.

Divide each side of the equation by 5.

Example Question #4 : How To Solve Two Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

Subtract 9 from both sides of the equation.

Divide each side of the equation by 3.

Example Question #5 : How To Solve Two Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

Add 11 to each side of the equation.

Multiply each side of the equation by .

Divide each side of the equation by 24.

Simplify

Example Question #6 : How To Solve Two Step Equations

Solve for :

Possible Answers:

Correct answer:

Explanation:

First, substract 3 from both sides:

Next, divide each side by 7:

Example Question #7 : How To Solve Two Step Equations

Solve for x:

Possible Answers:

None of the available answers

Correct answer:

Explanation:

Example Question #6 : How To Solve Two Step Equations

Solve for :

Possible Answers:

None of the available answers

Correct answer:

Explanation:

Example Question #9 : How To Solve Two Step Equations

Solve for 

Possible Answers:

Correct answer:

Explanation:

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

Example Question #7 : How To Solve Two Step Equations

Solve for :

Possible Answers:

None of the other answers

Correct answer:

Explanation:

To solve for , add to both sides to get . Then, divide both sides by to get .

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