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Part II: Analysis of Exam Areas

Use the following excerpt from a table of contents to answer the three

questions that follow.

PRE-ALGEBRA

PRELIMINARIES AND BASIC OPERATIONS. . . . . . . . . . . . . . . . . . . 3

Preliminaries. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3

Groups of numbers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3

Ways to show multiplication . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4

Common math symbols . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5

Properties of Basic Mathematical Operations . . . . . . . . . . . . . . . . . . . 5

Some properties (axioms) of addition . . . . . . . . . . . . . . . . . . . . . . . 5

Some properties (axioms) of multiplication. . . . . . . . . . . . . . . . . . . 6

A property of two operations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8

Multiplying and Dividing Using Zero . . . . . . . . . . . . . . . . . . . . . . . . . 8

Powers and Exponents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9

Squares and cubes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10

Operations with powers and exponents . . . . . . . . . . . . . . . . . . . . . 10

Square Roots and Cube Roots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12

Square roots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12

Cube roots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13

Approximating square roots. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13

Simplifying square roots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14

Grouping Symbols: Parentheses, Brackets, Braces . . . . . . . . . . . . . . 15

Parentheses ( ) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15

Brackets [ ] and braces { } . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15

Order of operations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16

Divisibility Rules . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17

Know Where to Find a Specific Kind of Information

Sample

30. On which page should one look to find which operation should be performed

first, multiplication or addition?

34

A. 4

B. 8

C. 10

D. 14

E. 16

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