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Algebra 1 : Real Numbers

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 #21 : Number Lines And Absolute Value

Find the value of: $-\left | -3\right |^2-\left |-9 \right |$

Possible Answers:

Correct answer:

Explanation:

Simplify all the terms inside the absolute value first. The values inside the absolute value will be converted to positive.

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

Use order of operations to solve. Square the first term in the parentheses.

-(3)^2 -(9) = -9 -9

Subtract the right side.

The answer is:

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Example Question #22 : Number Lines And Absolute Value

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

Possible Answers:

Correct answer:

Explanation:

Compute the quantity inside the absolute value first.

$-\left | 3-6\right |^3= -\left | -3\right |^3$

Any value inside the absolute value will be converted positive.

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

Evaluate the power.

The answer is:

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Example Question #23 : Number Lines And Absolute Value

Simplify:

$\left | -2*4+14\right |$

Possible Answers:

Correct answer:

Explanation:

First simplify the inside of the absolute value, remembering PEMDAS is important here.

So first you multiply and then add the fourteen.

So:

$\left |-8+14 \right |$ $=\left | 6\right |=6$

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Example Question #23 : How To Find Absolute Value

Solve the absolute value: $-\sqrt{\left | -9\right |}$

Possible Answers:

$\textup{No solution.}$

Correct answer:

Explanation:

Solve by first simplifying the absolute value inside the radical.

$-\sqrt{\left | -9\right |}= -\sqrt{9}$

Simplify the radical.

$-\sqrt{9}=-3$

The answer is:

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Example Question #24 : How To Find Absolute Value

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

Possible Answers:

Correct answer:

Explanation:

Simplify the innermost absolute value first. Negative numbers inside the absolute value will be converted to a positive value.

Evaluate the terms inside the absolute value and solve.

$-2\left | 3+3\right | = -2\left | 6\right | = -2(6) = -12$

The answer is:

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Example Question #21 : Number Lines And Absolute Value

Find the absolute value: $\left | -9+3\right |^2$

Possible Answers:

144

Correct answer:

Explanation:

Simplify the inner quantity of the absolute value first.

$\left | -9+3\right |^2 = \left | -6\right |^2$

Any value inside the absolute value becomes a positive value.

$\left | -6\right |^2 = (6)^2$

Evaluate the right side.

The answer is:

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Example Question #21 : How To Find Absolute Value

Solve the absolute value: $-\left | -3-3\right |^2-3$

Possible Answers:

Correct answer:

Explanation:

Compute the terms inside the absolute value first.

$-\left | -3-3\right |^2-3 = -\left | -6\right |^2-3$

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

-(6)^2-3

Compute the square by order of operation.

-36-3

Simplify this expression.

The answer is:

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Example Question #3262 : Algebra 1

Solve the absolute value: $-\left | 6-9\right |+\left | 5-8\right |$

Possible Answers:

Correct answer:

Explanation:

Solve the terms inside the absolute value first.

Simplify the absolute values.

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

Add the numbers.

The answer is:

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Example Question #3263 : Algebra 1

Solve the absolute value: $-2+\left | -3+2\right |^3$

Possible Answers:

Correct answer:

Explanation:

Solve the terms inside the absolute value first.

$-2+\left | -3+2\right |^3 = -2+\left | -1\right |^3$

A negative value inside the absolute value sign will be converted to a positive value.

-2+(1)^3

Use order of operation to solve.

-2+(1)^3= -2+1 =-1

The answer is:

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Example Question #21 : Number Lines And Absolute Value

$\left | -64\right |$

Possible Answers:

Correct answer:

Explanation:

The symbol above represents the absolute value, which we find by simply determining the positive value of the number in question. If the number is positive, it remains positive, but if it is negative, we just drop the negative sign. Therefore, the absolute value of is .

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Algebra 1 : Real Numbers

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #21 : Number Lines And Absolute Value

Example Question #22 : Number Lines And Absolute Value

Example Question #23 : Number Lines And Absolute Value

Example Question #23 : How To Find Absolute Value

Example Question #24 : How To Find Absolute Value

Example Question #21 : Number Lines And Absolute Value

Example Question #21 : How To Find Absolute Value

Example Question #3262 : Algebra 1

Example Question #3263 : Algebra 1

Example Question #21 : Number Lines And Absolute Value

All Algebra 1 Resources

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