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

2. OBJECTIVE 1

3. 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

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

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

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

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

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

10. Solve the rational equations

11. Solve the rational equations
NOT a solution

12. 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

13. 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 $ 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) =
57r =
r = 14.15