Chapter Three:  Equations

Take notes on the following topics.

Chapter Three

Section 3.1

Section 3.2

Section 3.3

Section 3.4

Section 3.5

Section 3.6

Section 3.7

Section 3.8

Section 3.9

Section 3.10

Section 3.11

Section 3.12

Back to Mrs. Leary's Math Web Page or  Back to Algebra Contents

Section 3.5:  More on Solving Equations

Vocabulary

• solution set

• null set or empty set

• the set of all real numbers (as a solution to an equation)

Given the equation:  -7y + 2 = -3y - 30

You must get the variable on one side only.

You have a choice.  You may add 7y to each side or add 3y to each side.

The following is one possible solution.

Given:                                      -7y + 2 = -3y - 30

Add 3y to each side.        -7y + 2 + 3y = -3y - 30 + 3y 

Simplify.                                   -4y + 2 = -30

Subtract 2 from each side.  -4y + 2 - 2 = -30 -2

Simplify.                                         -4y = -32

Divide each side by -4.         (-4y)/(-4) = (-32)/(-4)

Simplify.                                             y = 8

Take class notes.

Before starting your homework, rework the examples that are illustrated in this section of your textbook and the examples that I demonstrated in class. 

Then do your homework.

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