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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #531 : How To Solve One Step Equations

Solve x+21=26

Possible Answers:

x=6

x=47

x=-7

x=43

x=5

Correct answer:

x=5

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 x+21=26 , we want to get x by itself. The fastest way would be to move the +21 from left of the equals sign to the right with +26 .

This can be accomplished by subtracting from both sides.

$x+21{\color{Blue} -21}=26{\color{Blue} -21}$

x+0=5

x=5

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Example Question #531 : Algebra 1

Solve for :

x+53=100

Possible Answers:

100

153

Correct answer:

Explanation:

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

x+53=100

x+0=47

x=47

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Example Question #532 : Algebra 1

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

Possible Answers:

800

343

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

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Example Question #533 : Algebra 1

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=-1

x=1

x=3

x=-3

x=0

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 #3 : 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 #533 : Linear Equations

Solve for :

$\small 7x+3=17$

Possible Answers:

$\small x=2$

$\small x=3$

$\small x=1$

$\small x=4$

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 #534 : Algebra 1

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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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #531 : How To Solve One Step Equations

Example Question #531 : Algebra 1

Example Question #532 : Algebra 1

Example Question #533 : Algebra 1

Example Question #3 : How To Solve Two Step Equations

Example Question #3 : How To Solve Two Step Equations

Example Question #5 : How To Solve Two Step Equations

Example Question #533 : Linear Equations

Example Question #534 : Algebra 1

Example Question #8 : How To Solve Two Step Equations

All Algebra 1 Resources

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