1 Alan S. Tussy R. David Gustafson Prealgebra Second Edition Copyright © 2002 Wadsworth Group.

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Presentation transcript:

1 Alan S. Tussy R. David Gustafson Prealgebra Second Edition Copyright © 2002 Wadsworth Group.

2 6.1 The Rectangular Coordinate System In this section, you will learn about Equations containing two variables The rectangular coordinate system Graphing ordered pairs of real numbers Finding coordinates An application of the coordinate system

3 Walking time and distance

4 Equations containing two variables

5 The rectangular coordinate system

6 An application of the coordinate system

7 6.2 Graphing Linear Equations In this section, you will learn about Making a table of solutions Graphing linear equations Using intercepts to graph linear equations Graphing equations that are solved for y Graphing equations of the form y = b and x = a

8 Making a table of solutions

9 Graphing linear equations

10 Strategy for graphing

11 y- and x-intercepts

12 Graphing equations that are solved for y

13 Equations of horizontal and vertical lines

Multiplication Rules for Exponents In this section, you will learn about The product rule for exponents The power rule for exponents The power rule for products

15 The product rule for exponents

16 The product rule for exponents

17 The power rule for exponents

18 The power rule for exponents

19 The power rule for products

20 The power rule for products

21 EXAMPLE 9 Applying three rules. Simplify (2a 2 ) 2 (4a 3 ) 3.

Introduction to Polynomials In this section, you will learn about Polynomials Classifying polynomials Degree of a polynomial Evaluating polynomials Graphing equations involving polynomials

23 Polynomials 0, 8y 2, 2x + 1, 4y 2 - 2y + 3, and 7a 3 +2a 2 - a - 1

24 Classifying polynomials

25 Degree of a polynomial

26 Degree of a polynomial

27 EXAMPLE 4 Height of an object. The polynomial -16t t + 8 gives the height (in feet) of an object t seconds after it has been thrown straight up. Find the height of the object in 1 second.

28 EXAMPLE 5 Graphing a second- degree polynomial.

29 EXAMPLE 6 Graphing a second- degree polynomial.

Adding and Subtracting Polynomials In this section, you will learn about Adding polynomials Subtracting polynomials

31 Adding polynomials

32 Subtracting polynomials

Multiplying Polynomials In this section, you will learn about Multiplying monomials Multiplying a polynomial by a monomial Multiplying a binomial by a binomial Multiplying a polynomial by a binomial

34 Multiplying monomials

35 Multiplying a polynomial by a monomial

36 Multiplying a binomial by a binomial

37 Multiplying a polynomial by a binomial