Solving Equations Using A Graphing Utility Section 1.2 Solving Equations Using A Graphing Utility

OBJECTIVE 1

Equations in one variable: Values of the variable, if any, that result in a true statement are called solutions, or roots To solve an equation means to find the solutions of the equation Identity is an equation that is true for any value for the variable 2x + 3 = 3x + 1 – x + 2

Find the solution(s) to the equation Approximate to two decimal places.

Find the solution(s) to the equation Approximate to two decimal places.

( Using Xmin: -12, Xmax: 0, Xscl: 2, Ymin:-100, Ymax: 0, Yscl: 10)

Solving an Equation Algebraically Solve the linear equations (a) 2(2x – 3) = 3(x – 1) (b) (x +3)(x – 2) = (x + 2)2

Solving an Equation Algebraically Solve the rational equations (a) (b)

Solve the rational equations

Solve the rational equations NOT a solution

Solving Problems That Can Be Modeled By Linear Equations Problem Solving Procedure Understand the problem Read it twice What are you asked to find What information is pertinent Translate problem into algebraic expression or equation or formula to use Carry out mathematical calculation Check answer – is it reasonable? Make sure you answered the question

Judy and Tom agree to share the cost of an $18 pizza based based on how much each ate. If Tom ate 2/3 the amount that Judy ate, how much should each pay? (Page 112 #98) J + 2/3J = $18 5/3J = $18 J = 18(3/5) = $10.80 Jim is paid time-and-a-half for hours worked in excess of 40 hours and double-time for hours worked on Sunday. If Jim had gross weekly wages of $806.55 for working 50 hours, 4 of which were on Sunday, what is his regular hourly rate? (Page 112 #100) 40r + 6(1.5r) + 4(2r) = 806.55 57r = 806.55 r = 14.15