# Introduction to Algebra - PowerPoint

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```					Unit 1: Introduction to Algebra
1.    Introduction to Algebra
Example Problem
2.    Working with Real Numbers
3.    Solving Equations and                    Use the figure and the
Problems                                 information inside of it to
4.    Polynomials                              write an equation involving
5.    Factoring Polynomials
x.
6.    Systems of Linear Equations                             7
7.    Fractions
8.    Applying Fractions
9.    Introduction to Functions            x         Rectangle Area = 21
10.   Inequalities
11.   Rational and Irrational
Numbers

Unit 1: Introduction to Algebra             1
What is Algebra?
   Algebra is the most basic and fundamental
branch of mathematics. It explains the
laws that govern the other branches. Other
branches of mathematics include
arithmetic, geometry, trigonometry, and
calculus.
Algebra

Geometry       Trigonometry             Calculus

Unit 1: Introduction to Algebra         2
Where does the name “Algebra”
come from?
   The term comes from the
title of an Arabic book - Al-
jabr w'al-muqabala -
written by Abu Ja'far
Khwarizmi (who lived
around the year 800)
This picture is taken from
which is all about algebra                         a stamp from the former
USSR

Unit 1: Introduction to Algebra                    3
Introduction to Algebra:
why this unit important.
   Mathematics has been described as the
universal language. In order to use a
language successfully, you must
understand its symbols and terminology.
In this unit, you will be introduced to the
terminology that shapes algebraic
thought: variables, grouping symbols
and the language of equations.

Unit 1: Introduction to Algebra   4
Introduction to Algebra
Learning Objectives
 Simplify numerical expressions and
evaluate algebraic expressions
 Simplify expressions with and without
grouping symbols
 Find solutions sets of equations over a
given domain
 Translate phrases into variable
expressions

Unit 1: Introduction to Algebra   5
Introduction to Algebra
Learning Objectives cont.
   Translate word sentences into equations.
   Translate simple word problems into
equations.
   Solve word problems over a given domain.
   Graph real numbers on a number line and
compare real numbers.
   Use opposite and absolute values.

Unit 1: Introduction to Algebra   6
Conclusion
   This chapter provides             Example Problem Solution
you with the necessary
introductions and                      Use the figure and the
practice to prepare for                information inside of it to
successful study of                    write an equation
algebra.                               involving x.
7

Solution
x       Rectangle Area = 21       7x = 21

Unit 1: Introduction to Algebra                7

```
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