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Pre-Algebra : Operations

Study concepts, example questions & explanations for Pre-Algebra

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11 Diagnostic Tests 177 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #22 : Absolute Value

Simplify: $-\left | -3\right |^2$

Possible Answers:

$\textup{This expression cannot be solved.}$

$-\frac{1}{9}$

$\frac{1}{9}$

Correct answer:

Explanation:

To solve this question, first evaluate the inside of the absolute value. Afterward, square the inner term and apply the negative sign.

$-\left | -3\right |^2 = -(3) ^2= -9$

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Example Question #23 : Absolute Value

Solve: $2\left | -6+5-4\right |$

Possible Answers:

Correct answer:

Explanation:

Simplify the value inside the absolute value first.

$2\left | -6+5-4\right | = 2\left | -5\right |$

Any value inside the absolute value will be converted to a positive number.

$2\left | -5\right | = 2(5)=10$

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Example Question #27 : Absolute Value

Simplify the absolute values: $-\left | -6\right |-\left | 3-6\right |$

Possible Answers:

Correct answer:

Explanation:

Any quantity inside the absolute will result in a positive value. Simplify the inside quantity of the absolute value first.

Reconvert the values contained by absolute values.

$-\left | -6\right |-\left | -3\right | = -(6)-(3) = -9$

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Example Question #28 : Absolute Value

Find the value of this equation. - | 24 | * | -3 | =

Possible Answers:

Correct answer:

Explanation:

When dealing with an absolute value question, remember that inside the absolute value lines the answer will be positive. If a negative sign is outside of the absolute value bars, you must take that to the answer or next step of the equation.

$-\left | 24 | * \left | -3 | =$

-24 * 3 = -72

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Example Question #24 : Absolute Value

Solve: $-3\left | -1\right |-2\left | 1-2\right |$

Possible Answers:

Correct answer:

Explanation:

Evalute the absolute values first. Any negative or positive value inside a absolute value will be converted to a positive number.

$-3\left | -1\right |-2\left | 1-2\right | = -3(1)-2(1) = -3-2 = -5$

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Example Question #25 : Absolute Value

Solve: $\left | -3+2\right | - \left | -6\right |$

Possible Answers:

Correct answer:

Explanation:

Evaluate the terms inside the absolute value first before simplifying.

The answer is:

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Example Question #31 : Absolute Value

Evaluate: $1-(-1)-\left | -1\right |-1$

Possible Answers:

Correct answer:

Explanation:

In this scenario, we have to first simplify the absolute value, and then eliminate the double negatives.

Eliminate the absolute value. The value inside will become positive.

$1-(-1)-\left | -1\right |-1 = 1-(-1)-(1)-1$

Combine double signs into one sign.

1-(-1)-(1)-1 = 1+1-1-1=0

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Example Question #31 : Absolute Value

Solve the absolute value: $-\left | -3+6\right |-3$

Possible Answers:

Correct answer:

Explanation:

Evaluate the quantity inside the absolute value, and then solve.

$-\left | -3+6\right |-3 = -(3)-3 =-6$

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Example Question #33 : Absolute Value

Simplify the absolute value: $\left | 6-8\right |^3-\left | -2\right |^2$

Possible Answers:

Correct answer:

Explanation:

First evaluate the terms inside the absolute value.

The absolute value bars make the value inside of them positive.

Simplify the absolute value.

(2)^3-(2)^2 = 8-4 =4

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Example Question #32 : Absolute Value

Solve:

$-\left | 10\right |-1$

Possible Answers:

Correct answer:

Explanation:

Quantities inside an absolute value will be converted to a positive value.

In this particular case the negative sign is outside of the absolute value bars and thus the bars can be dropped. Once the absolut value bars are dropped, work from left to right to solve.

$\\-\left | 10\right |-1 \\= -10-1 \\= -11$

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Pre-Algebra : Operations

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #22 : Absolute Value

Example Question #23 : Absolute Value

Example Question #27 : Absolute Value

Example Question #28 : Absolute Value

Example Question #24 : Absolute Value

Example Question #25 : Absolute Value

Example Question #31 : Absolute Value

Example Question #31 : Absolute Value

Example Question #33 : Absolute Value

Example Question #32 : Absolute Value

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