# Are You A Master Of Algebra? Take This Quiz

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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!

• 1.

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

• A.

Commutative property of multiplication

• B.

• C.

• D.

Associative property of multiplication

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

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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• 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

B. Distributive Property
Explanation
See page 13, Example 2

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• 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

B. Symmetric property of equality
Explanation
See page 21, Example 3b.

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• 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

B. Substitution
Explanation
See page 21, Example 3.

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• Current Version
• Mar 19, 2022
Quiz Edited by
ProProfs Editorial Team
• Jan 04, 2009
Quiz Created by
Phamtastic

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