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
Views #: 24
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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Grouping Symbols – Self Check 5

2 pts
volume_mute

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

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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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Brackets Containing Division and Exponent

3 pts
volume_mute

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

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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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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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Complete the Steps – Parentheses First

2 pts

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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Match Each Grouping Symbol to Its Name

2 pts

Match each grouping symbol to its correct name.

To complete the line match

  1. Click on an item in the first group
  2. Click on the match in the second group

To delete a match, double click on a line

Symbol

( )
[ ]
\(\lvert \rvert\)
—

Name

Absolute value symbols
Fraction bar
Brackets
Parentheses
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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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Guided Practice – Nested Brackets

3 pts
volume_mute

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

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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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Classify the Innermost Grouping Symbol

2 pts

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

drag and drop the selected option to the right place

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Try It Yourself – Two Sets of Parentheses

2 pts
volume_mute

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

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0
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y√x 3√x √x ln log
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0 . EXP ÷ MR
± RND C = MC
Keywords
Year 8