Day 15 – September 12

Algebra: Chapter 2, Lesson 3, page 63.

Addition of Rational Numbers.

Adding 2 positive or negative numbers

  • Add the absolute values. The sum has the same sign as the 2 numbers.

Adding a positive and a negative number

  • Subtract the absolute values. The sum has the sign of the number with the bigger sign!

I have a podcast on iTunes that talks about this and tomorrow’s lesson. Just search on iTunes “MrE Algebra” and you’ll find it. CLick here and you can check it out here on your desktop!

Two of tonight’s homework problems solved by MrE are here! Just click it!

======================================================================

Algebra 1a: Chapter 1, Lesson 7, page 33.

Solving Equations, An Introduction

An EQUATION is a mathematical sentence that uses the equal sign `=` to state that 2 expressions represent the same number or are equivalent. An equation that contains at least 1 variable is called an OPEN SENTENCE.

The set of numbers from which you can select replacements for the variable is called the REPLACEMENT SET, usually noted with squiggly brackets `{2, 5, 12}`. A replacement for a variable that makes an equation true is called the SOLUTION. To SOLVE and equation means to find all of its solutions. The collection of all the solutions is called the SOLUTION SET, usually contained in the { brackets}.

2 equations are EQUIVALENT if one can be obtained from the other by a sequence of the following steps. You can:

  • add the same number to both sides of an equation
  • subtract the same number from both sides of an equation
  • multiply both sides of an equation by the same number
  • divide both sides of an equation by the same number

Equivalent equations have the same solutions set.

Two of tonight’s homework problems solved by MrE are here! Just click it!!

 

This entry was posted in Algebra 1, Algebra 1a. Bookmark the permalink.

Leave a Reply

Your email address will not be published. Required fields are marked *