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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 #3231 : Algebra 1

What is three percent of three?

Possible Answers:

$\frac{9}{100}$

$\frac{9}{1000}$

0.9

Correct answer:

$\frac{9}{100}$

Explanation:

Rewrite three percent as a fraction.

$3\% =\frac{3}{100}$

Multiply this fraction with three.

$\frac{3}{100} \cdot 3=\frac{9}{100}$

The answer is: $\frac{9}{100}$

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Example Question #70 : Whole And Part

What is four percent of twelve?

Possible Answers:

$\frac{4}{5}$

$\frac{1}{48}$

$\frac{24}{5}$

$\frac{12}{25}$

$\frac{4}{25}$

Correct answer:

$\frac{12}{25}$

Explanation:

Write four percent as a fraction. A percent is a number out of 100 parts.

$4\% =\frac{4}{100}$

Multiply this fraction with twelve.

$\frac{4}{100}\cdot 12 = \frac{48}{100}$

Reduce this fraction.

$\frac{48}{100}=\frac{4\times 12}{4 \times 25}$

Cancel the common terms of this fraction.

The answer is: $\frac{12}{25}$

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Example Question #42 : How To Find The Part From The Whole With Percentage

What is thirty percent of sixty eight?

Possible Answers:

$\frac{17}{3}$

$\frac{153}{5}$

$\frac{68}{3}$

$\frac{102}{5}$

$\frac{51}{5}$

Correct answer:

$\frac{102}{5}$

Explanation:

Write the expression for this question.

$30\% \cdot 68$

Rewrite the percentage as a fraction.

$\frac{30}{100} \cdot 68 = \frac{3}{10}\cdot 68$

Multiply the numerator with the integer.

$\frac{204}{10}$

Write the fraction using common factors. Both the numerator and denominator are divisible by two.

$\frac{204}{10} = \frac{2\times 102}{2\times 5}$

Simplify by cancelling the like terms.

The answer is: $\frac{102}{5}$

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Example Question #43 : How To Find The Part From The Whole With Percentage

What is half a percent of sixty?

Possible Answers:

$\frac{3}{10}$

$\frac{1}{24}$

$\frac{1}{120}$

$\frac{5}{12}$

Correct answer:

$\frac{3}{10}$

Explanation:

Write the expression for half a percent.

$\frac{1\%}{2}$

Rewrite this as a decimal.

$\frac{1\%}{2} = \frac{0.01}{2} = 0.005$

Multiply this number with sixty.

$0.005\times 60 = 0.3$

This number is equivalent to $\frac{3}{10}$ .

The answer is: $\frac{3}{10}$

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Example Question #1 : Number Lines And Absolute Value

Plot the fraction $-\frac{7}{3}$ on the number line.

Possible Answers:

Question_11_correct

Question_11_incorrect_2

Question_11_incorrect_1

Question_11_incorrect_3

Correct answer:

Question_11_correct

Explanation:

The fraction $-\frac{7}{3}$ is less than and greater than , so it must fall between those points on the number line. Negative numbers are to the left of while positive numbers are to the right.

$-\frac{7}{3}=-2\frac{1}{3}$

Because $\frac{1}{3}$ is less than $\frac{1}{2}$ , the point must be closer to than .

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Example Question #2 : Number Lines And Absolute Value

What number or numbers have absolute value ?

Possible Answers:

No such numbers exist.

-7,-14,-21,-28...

-7,7

Correct answer:

No such numbers exist.

Explanation:

The absolute value of every real number is nonnegative, so no number with absolute value can exist.

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Example Question #2 : How To Find Absolute Value

What number or numbers have absolute value ?

Possible Answers:

$\left \{ -13, -26, -39, -52,...\right \}$

-13, 13

No such numbers exist.

Correct answer:

No such numbers exist.

Explanation:

The absolute value of every real number is nonnegative, so no number with absolute value can exist.

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Example Question #3 : Number Lines And Absolute Value

What number or numbers have absolute value 29?

Possible Answers:

No such number exists.

$\left \{ -29, -58,-87,-116,...\right \}$

-29, 29

Correct answer:

-29, 29

Explanation:

The absolute value of any positive number is the number itself, so 29 has 29 as an absolute value. Also, the absolute value of a negative number is its (positive) opposite, so also has 29 as an absolute value.

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Example Question #4 : How To Find Absolute Value

What number or numbers have absolute value 11?

Possible Answers:

$\left \{ -11, -22,-33,-44,-55,...\right \}$

No such numbers exist.

-11,11

Correct answer:

-11,11

Explanation:

The absolute value of any positive number is the number itself, so 11 has 11 as an absolute value. Also, the absolute value of a negative number is its (positive) opposite, so also has 11 as an absolute value.

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Example Question #1 : How To Find Absolute Value

Evaluate the expression.

$\small 3(\frac{(8-10)^2}{\left | 8-10 \right |})$

Possible Answers:

Correct answer:

Explanation:

$\small 3(\frac{(8-10)^2}{\left | 8-10 \right |})$

First, simplify the terms in parentheses and absolute value.

$3(\frac{-2^2}{\left | -2 \right |})$

Remember that the absolute value of a negative term is positive.

$3(\frac{4}{2})$

Multiply and simplify.

$\frac{3*4}{2}=\frac{12}{2}=6$

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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #3231 : Algebra 1

Example Question #70 : Whole And Part

Example Question #42 : How To Find The Part From The Whole With Percentage

Example Question #43 : How To Find The Part From The Whole With Percentage

Example Question #1 : Number Lines And Absolute Value

Example Question #2 : Number Lines And Absolute Value

Example Question #2 : How To Find Absolute Value

Example Question #3 : Number Lines And Absolute Value

Example Question #4 : How To Find Absolute Value

Example Question #1 : How To Find Absolute Value

All Algebra 1 Resources

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