Evaluate expressions containing grouping symbols

When evaluating expressions,we must perform all calculations within parentheses and other grouping symbols first.

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QUESTION OF

volume_mute Read quiz aloud
Views #: 248
Questions #: 15
Time: 10 minutes
Pass Score: 80.0%
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Grouping Symbols – Parentheses Inside

2 pts
volume_mute

Evaluate: \(-15 + 3(-4 + 7 \cdot 2)\)

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Correct Answer

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Grouping Symbols – Self Check 5

2 pts
volume_mute

Evaluate: \(-18 + 6(-7 + 9 \cdot 2)\)

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Correct Answer

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Nested Grouping Symbols – Brackets and Parentheses

3 pts
volume_mute

Evaluate: \(67 - 5[-1 + (2 - 8)^2]\)

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Nested Grouping Symbols – Self Check 6

3 pts
volume_mute

Evaluate: \(81 - 4[-2 + (5 - 9)^2]\)

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Correct Answer

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Brackets Containing Division and Exponent

3 pts
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Evaluate: \(-\left[1 - \left(2^4 + \dfrac{66}{-6}\right)\right]\)

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Correct Answer

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Nested Brackets with Exponent and Division – Self Check 7

3 pts
volume_mute

Evaluate: \(-\left[4 - \left(3^3 + \dfrac{22}{-11}\right)\right]\)

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Correct Answer

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Fraction Bar as a Grouping Symbol

3 pts
volume_mute

Evaluate: \(\dfrac{-20 + 3(-5)}{21 - (-4)^2}\)

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Fraction Bar Grouping – Self Check 8

3 pts
volume_mute

Evaluate: \(\dfrac{-9 + 6(-4)}{28 - (-5)^2}\)

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Correct Answer

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Complete the Steps – Parentheses First

2 pts
volume_mute

Complete the step-by-step solution for \(-15 + 3(-4 + 7 \cdot 2)\):

Step 1 — Multiply inside parentheses: \(7 \cdot 2 =\) (1)

Step 2 — Add inside parentheses: \(-4 + 14 =\) (2)

Step 3 — Multiply: \(3(10) = 30\)

Step 4 — Final answer: \(-15 + 30 = 15\)

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Correct Answer

Explanation


Match Each Grouping Symbol to Its Name

2 pts
volume_mute
To complete the line match
  1. Click on an item in the first group
  2. Click on an item in the second group
  3. To delete a match, double click on a line

Symbol

( )
[ ]
\(\lvert \rvert\)
—

Name

Absolute value symbols
Fraction bar
Brackets
Parentheses

Match each grouping symbol to its correct name.

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Correct Answer

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Guided Practice – Parentheses with Mixed Operations

2 pts
volume_mute

Evaluate: \(-14 + 2(-9 + 6 \cdot 3)\)

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Correct Answer

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Guided Practice – Nested Brackets

3 pts
volume_mute

Evaluate: \(77 - 2[-6 + (3 - 9)^2]\)

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Correct Answer

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Guided Practice – Fraction Bar Grouping

3 pts
volume_mute

Evaluate: \(\dfrac{-24 + 3(-4)}{42 - (-6)^2}\)

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Correct Answer

Explanation


Classify the Innermost Grouping Symbol

2 pts
volume_mute
Expressions
×\(67 - 5[-1 + (2 - 8)^2]\)
×\(\dfrac{-20 + 3(-5)}{21 - (-4)^2}\)
×\(-15 + 3(-4 + 7 \cdot 2)\)
×\(-[4 - (3^3 + 22 \div (-11))]\)
Parentheses ( ) first
Fraction bar — first

Drag each expression into the correct category based on which grouping symbol you must work within first.

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volume_mute

Correct Answer

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Try It Yourself – Two Sets of Parentheses

2 pts
volume_mute

Evaluate: \((2 - 5)(5 + 2)\)

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Keywords
Year 8