Chapter Two:  Integers and Rational Numbers

Take notes on the following topics.

Chapter Two

Section 2.1

Section 2.2

Section 2.3

Section 2.4

Section 2.5

Section 2.6

Section 2.7

Section 2.8

Section 2.9

Section 2.10

Section 2.10

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Section 2.10    Number Properties and Proof

Vocabulary

• axioms

• theorems

• field

• field axioms

• closed

• Reflexive Property

• Symmetric Property

• Transitive Property

Take class notes.

Rework the examples that are illustrated in this section and the examples that I demonstrated in class.

Do your homework.

Write down questions (examples or concept that you do not understand).......then.............. Ask these questions in class.

Quick Quiz #1

Write without parentheses.  Use the Distributive Property.

1.  3(x + 2)

2.  7( y + 5)

3.  4(a + 3)

4.  6(1 + z)

5.  5(4 + c)

6.  (x + 2)7

7.  (y + 8)3

Answers: 1.  3x + 6   2.  7y + 35   3.  4a + 12   4.  6 + 6z   5.  20 + 5c   

6.  7x + 14   7.  3y + 24

Quick Quiz #2

Simplify.

1.  4x - 3(7 - 2x)

2.  -(2x - 4) + 8x

3.  -(3 - y) + 4(6 - 2y)

4.  2(3x + 7) - (4x - 2)

5.  -( 7c - 9) + 2(5 - 4c)

Simplify.  Then evaluate for x = -1

6.  -3(2x - 7) + 5(8 - 4x)

Answers: 1.  10x - 21   2.  6x + 4   3.  -7y + 21   4.  2x + 16   5.  -15c + 19

6.  -26x + 61;  87