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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 #16 : Number Lines And Absolute Value

Solve: $-2\left | 5\right |-2\left | -5\right |$

Possible Answers:

Correct answer:

Explanation:

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

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

Distribute the terms and simplify.

-2(5)-2(5) = -10-10 = -20

The answer is:

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Example Question #3251 : Algebra 1

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

Possible Answers:

Correct answer:

Explanation:

Simplify all absolute values in the expression. The values inside the absolute values will be positive.

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

Subtract the numbers.

The answer is:

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Example Question #17 : How To Find Absolute Value

Possible Answers:

Correct answer:

Explanation:

Simplify the inner absolute value first. Any value inside an absolute value will be converted to positive.

Simplify the inner values of the first term and reduce the second term.

Subtract the numbers.

1-4 = -3

The answer is:

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Example Question #18 : How To Find Absolute Value

Solve the absolute value: $-2\left | -3-8\right |$

Possible Answers:

Correct answer:

Explanation:

Solve the parts inside the absolute value first.

$-2\left | -3-8\right | = -2 \left | -11\right |$

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

Simplify the expression.

-2(11) =-22

The answer is:

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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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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #16 : Number Lines And Absolute Value

Example Question #3251 : Algebra 1

Example Question #17 : How To Find Absolute Value

Example Question #18 : How To Find Absolute Value

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

All Algebra 1 Resources

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