Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #531 : How To Solve One Step Equations

Solve 

Possible Answers:

Correct answer:

Explanation:

Solving for a one-step linear equation is simple. All you're being asked is to solve for x. In other words, how do you get x by itself on one side of the equals sign?

In order to solve for these kind of problems, it's important to keep in mind that what you do to one side must be done to the other. 

for , we want to get x by itself. The fastest way would be to move the  from left of the equals sign to the right with .

This can be accomplished by subtracting  from both sides. 

Example Question #531 : Linear Equations

Solve for :

Possible Answers:

53

47

100

57

153

Correct answer:

47

Explanation:

Subtract 53 from each side of the equation to get  by itself:

          

Example Question #532 : Linear Equations

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

Possible Answers:

64

343

800

2744

8000

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:

27

9

0

–3

3

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 #4 : 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 #5 : How To Solve Two Step Equations

Solve for x:

Possible Answers:

None of the available answers

Correct answer:

Explanation:

Example Question #8 : How To Solve Two Step Equations

Solve for :

Possible Answers:

None of the available answers

Correct answer:

Explanation:

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