Name the property illustrated by (3c · 6) 2 = 3c (6 · 2).

associative property of multiplication

commutative property of multiplication

associative property of addition

Name the property illustrated by the statement below. If 5n = 15, then 15 = 5n.

transitive property of equality

substitution property of equality

Are You A Master Of Algebra? Take This Quiz

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Questions: 5 | Attempts: 1,675 | Updated: Mar 19, 2022

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Are You A Master Of Algebra? Take This Quiz - Quiz

In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields.
If you think you algebra and its properties well, take this quiz!

Questions and Answers

1.

Name the property illustrated by (3c · 6) 2 = 3c (6 · 2).
- A.
  
  Commutative property of multiplication
- B.
  
  Associative property of addition
- C.
  
  Associative property of addition
- D.
  
  Associative property of multiplication
Correct Answer
D. Associative property of multiplication

Explanation
See page 13, Example 2b.

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2.

Identify the multiplicative inverse of 2.5.
- A.
  
  .4
- B.
  
  .25
- C.
  
  5.2
- D.
  
  .5
Correct Answer
A. .4

Explanation
The multiplicative inverse of a number is the reciprocal of that number. In this case, the reciprocal of 2.5 is 1/2.5, which simplifies to 0.4. Therefore, the correct answer is 0.4.

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1
1
3.

Name the property illustrated by the equation 5 ·? (-2 – 7) = 5 ·? -2 – 5 ·? 7
- A.
  
  Inverse Property
- B.
  
  Distributive Property
- C.
  
  Commutative Property
- D.
  
  Associative Property
Correct Answer
B. Distributive Property

Explanation
See page 13, Example 2

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1
1
4.

Name the property illustrated by the statement below. If 5n = 15, then 15 = 5n.
- A.
  
  Name the property illustrated by the statement below. If 5n = 15, then 15 = 5n.
- B.
  
  Symmetric property of equality
- C.
  
  Transitive property of equality
- D.
  
  substitution property of equality
Correct Answer
B. Symmetric property of equality

Explanation
See page 21, Example 3b.

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1
0
5.

Name the property of equality illustrated by the following statement. If n – 3 = 5 + 4, then n – 3 = 9.
- A.
  
  Symmetric
- B.
  
  Substitution
- C.
  
  Reflexive
- D.
  
  Transitive
Correct Answer
B. Substitution

Explanation
See page 21, Example 3.

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Current Version
Mar 19, 2022

Quiz Edited by
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Jan 04, 2009

Quiz Created by
Phamtastic

Are You A Master Of Algebra? Take This Quiz

Name the property illustrated by (3c · 6) 2 = 3c (6 · 2).

Identify the multiplicative inverse of 2.5.

Name the property illustrated by the equation 5 ·? (-2 – 7) = 5 ·? -2 – 5 ·? 7

Name the property illustrated by the statement below. If 5n = 15, then 15 = 5n.

Name the property of equality illustrated by the following statement. If n – 3 = 5 + 4, then n – 3 = 9.