Evaluate expressions containing absolute values

We use the order of operations rule to evaluate more complicated expressions that contain absolute values.

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QUESTION OF

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Views #: 253

Questions #: 15

Time: 15 minutes

Pass Score: 80.0%

Style

Step

List

Mode

Exam

Practice

Absolute Value of a Product

1 pts

volume_mute

Evaluate: \(|-4(3)|\)

\(-12\)

\(12\)

\(7\)

\(-7\)

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Correct Answer

Explanation

Absolute Value of a Sum

1 pts

volume_mute

Evaluate: \(|-6 + 1|\)

\(5\)

\(-5\)

\(7\)

\(-7\)

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Correct Answer

Explanation

Evaluate the absolute Value

1 pts

volume_mute

Evaluate: \(|(-6)(5)|\)

\(-30\)

\(30\)

\(1\)

\(11\)

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Correct Answer

Explanation

Evaluate the absolute Value

1 pts

volume_mute

Evaluate: \(|-3 + 96|\)

\(-93\)

\(93\)

\(99\)

\(-99\)

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Correct Answer

Explanation

Multiplication Outside Absolute Value Bars

2 pts

volume_mute

The book notes: a number next to absolute value bars indicates multiplication.

Evaluate: \(8 - 4|-6 - 2|\)

\(-24\)

\(24\)

\(40\)

\(-40\)

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Correct Answer

Explanation

Multiplication Outside Absolute Value

2 pts

volume_mute

Evaluate: \(7 - 5|-1 - 6|\)

\(-28\)

\(28\)

\(-42\)

\(42\)

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Correct Answer

Explanation

Guided Practice – Absolute Value of Product

1 pts

volume_mute

Evaluate: \(|-6(2)|\)

\(12\)

\(-12\)

\(4\)

\(8\)

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Correct Answer

Explanation

Guided Practice – Absolute Value of a Sum

1 pts

volume_mute

Evaluate: \(|-12 + 7|\)

\(5\)

\(-5\)

\(19\)

\(-19\)

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Correct Answer

Explanation

Guided Practice – Multiply Outside Absolute Value

2 pts

volume_mute

Evaluate: \(16 - 6|-2 - 1|\)

\(-2\)

\(2\)

\(34\)

\(-34\)

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Correct Answer

Explanation

Try It Yourself – Absolute Value with Three Terms

2 pts

volume_mute

Evaluate: \(|-3 + 4 + (-5)|\)

\(-4\)

\(4\)

\(-12\)

\(12\)

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Correct Answer

Explanation

Try It Yourself – Negative of an Absolute Value

2 pts

volume_mute

Evaluate: \(-|2 + 7 - (-5)^2|\)

\(16\)

\(-16\)

\(34\)

\(-34\)

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Correct Answer

Explanation

Complete the Steps – Absolute Value with Multiplication Outside

2 pts

volume_mute

Complete the step-by-step solution for \(8 - 4|-6 - 2|\):

Step 1 — Subtract inside absolute value: \(-6 - 2 =\) (1)

Step 2 — Find absolute value: \(|-8| =\) (2)

Step 3 — Multiply: \(4(8) = 32\)

Step 4 — Subtract: \(8 - 32 = -24\)

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Correct Answer

Explanation

Which Expressions Give a Positive Result?

2 pts

volume_mute

Select all expressions that evaluate to a positive number.

\(\vert{-4(3)}\vert\)

\(-\vert{-4(3)}\vert\)

\(\vert{-6 + 1}\vert\)

\(-\vert{8 - 4}\vert\)

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Correct Answer

Explanation

Classify by First Step Inside the Absolute Value Bars

2 pts

volume_mute

Expressions

×\(\vert{-4(3)}\vert\)

×\(\vert{-6 + 1}\vert\)

×\(\vert{(-6)(5)}\vert\)

×\(\vert{-3 + 96}\vert\)

Multiply inside first

Add or subtract inside first

Drag each expression into the correct category based on the first operation you perform inside the absolute value bars.

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Correct Answer

Explanation

Catch It! – Positive or Negative Result?

3 pts

volume_mute

Expressions

×\(\lvert -3 + 96 \rvert\)

×\(-\lvert -3 + 96 \rvert\)

×\(\lvert -6(2) \rvert\)

×\(-\lvert -6(2) \rvert\)

×\(\lvert -12 + 7 \rvert\)

×\(-\lvert -12 + 7 \rvert\)

Positive Result

Negative Result

Catch each falling expression and drop it into the correct box.

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Correct Answer

Explanation

Year 8

Absolute Value of a Product

Correct Answer

Explanation

Absolute Value of a Sum

Correct Answer

Explanation

Evaluate the absolute Value

Correct Answer

Explanation

Evaluate the absolute Value

Correct Answer

Explanation

Multiplication Outside Absolute Value Bars

Correct Answer

Explanation

Multiplication Outside Absolute Value

Correct Answer

Explanation

Guided Practice – Absolute Value of Product

Correct Answer

Explanation

Guided Practice – Absolute Value of a Sum

Correct Answer

Explanation

Guided Practice – Multiply Outside Absolute Value

Correct Answer

Explanation

Try It Yourself – Absolute Value with Three Terms

Correct Answer

Explanation

Try It Yourself – Negative of an Absolute Value

Correct Answer

Explanation

Complete the Steps – Absolute Value with Multiplication Outside

Correct Answer

Explanation

Which Expressions Give a Positive Result?

Correct Answer

Explanation

Classify by First Step Inside the Absolute Value Bars

Correct Answer

Explanation

Catch It! – Positive or Negative Result?

Correct Answer

Explanation

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