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Section 1.2 Solving Equations Using A Graphing Utility

Learn how to solve equations using a graphing utility, find solutions to linear and rational equations, and apply problem-solving strategies. Explore examples and practice problems.

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Section 1.2 Solving Equations Using A Graphing Utility

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  1. Section 1.2 Solving Equations UsingA 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.

  6. ( Using Xmin: -12, Xmax: 0, Xscl: 2, Ymin:-100, Ymax: 0, Yscl: 10) ( Using Xmin: -5, Xmax: 3, Xscl: 1, Ymin: -5, Ymax: 15, Yscl: 1)

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

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

  9. Solve the rational equations

  10. Solve the rational equations NOT a solution

  11. 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

  12. J + 2/3J = $18 5/3J = $18 J = 18(3/5) = $10.80 • 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) • 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

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