Algebra Class Quiz on Properties and Factors
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Questions and Answers

Which equation exemplifies the distributive law?

  • $(a + b) + c = a + (b + c)$
  • $a \times (b + c) = a \times b + a \times c$ (correct)
  • $a + b = b + a$
  • $a \times b = b \times a$

What is the resulting value of y in the given negative integer addition diagram?

  • 3
  • 7
  • -7 (correct)
  • -3

Which of the following options is NOT a factor of 36?

  • 18
  • 5 (correct)
  • 6
  • 12

Which of the following pairs of numbers are both factors of 36?

<p>2 (D), 2 (E)</p> Signup and view all the answers

Which property is demonstrated by the equation: $(a + b) + c = a + (b + c)$?

<p>Associative property of addition (B)</p> Signup and view all the answers

Flashcards

Distributive Law

a × (b + c) = a × b + a × c

Negative Integer Addition

Adding negative numbers moves left on a number line

Factor of 36

A number that divides 36 evenly

Question 1: Correct Choice

a × (b + c) = a × b + a × c

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Question 2: Answer

-7

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Study Notes

Question 1

  • Identify the calculation that displays the distributive law
  • Options are:
    • a + b = b + a
    • (a + b) + c = a + (b + c)
    • a × b = b × a
    • a × (b + c) = a × b + a × c
  • Correct answer: a × (b + c) = a × b + a × c

Question 2

  • A number line shows negative integer addition
  • The arrow moves two units to the left from a point 'y' on the number line.
  • The arrow ends at -5.
  • Determine the value of 'y'.
  • Options are:
    • -7
    • -3
    • 3
    • 7
  • Correct answer: 3

Question 3

  • Find a factor of 36
  • Options are:
    • 5
    • 7
    • 11
    • 18
  • Correct answer: 18

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Description

Test your understanding of algebraic properties and basic operations with integers. This quiz covers the distributive law, negative integer addition, and identifying factors. Challenge yourself and see how well you know these essential concepts in algebra.

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