Jake plans on eating 14 meals per week in the dining halls?Step 2:Jake also has the option of buying “dining dollars” to use at other eating establishments on campus. With dining dollars Jake will get 10% off all food purchases. How much will Jake save over the course of the semester by usiTask 5:if he spends $20 a week at these establishments?Task 6:if he spends $40 a week at these establishments?Task 7:if he spends $60 a week at these establishments?Finding a Solution:Step 3:Jake plans on eating 17 meals a week in the dining halls and spending $30 a week at other establishments.Task 8:Which plan should he buy?Task 9:How much will Jake spend on food for the semester?Applying the Situation to Your Life:You can do these same calculations for your own circumstances.•See what plans are offered.•Determine how often you will eat in the dining halls.•Decide which plan would be right for you.•Calculate how much you will need to spend on food for the semester.611612Chapter 9 Organizer612613Topic and ProcedureExamplesSolving a quadratic equation by using the square root property, p. 545Solve.Page 48 of 50Print | Beginning & Intermediate Algebra1/31/2014...
PRINTED BY: [email protected] Printing is for personal, private use only. No part of this book may be reproduced or transmitted without publisher's prior permission. Violators will be prosecuted.Topic and ProcedureExamplesIf x2= a, then x= Solving a quadratic equation by completing the square, p. 546 1. Rewrite the equation in the form ax 2 + bx = c . 2. If a ≠ 1, divide each term of the equation by a . 3. Square half of the numerical coefficient of the linear term. Add the result to both sides of the equation. 4. Factor the left side; then take the square root of both sides of the equation. 5. Solve the resulting equation for x . 6. Check the solutions in the original equation. Solve. Solve a quadratic equation by using the quadratic formula, p. 552 If ax 2 + bx + c = 0, where a ≠ 0, 1. Rewrite the equation in standard form. 2.Determine the values of a, b, and c. 3. Substitute the values of a, b , and c into the formula. 4. Simplify the result to obtain the values of x . 5. Any imaginary solutions to the quadratic equation should be simplified by using the definition , where a > 0. Solve. a = 2, b = − 3, c = 2 Placing a quadratic equation in standard form, p. 554 A quadratic equation in standard form is an equation of the form ax 2 + bx + c = 0, where a, b , and c are real numbers and a ≠ 0. It is often necessary to remove parentheses and clear away fractions by multiplying each term of the equation by the LCD to obtain the standard form. Rewrite in quadratic form. 2 over begin denominator x − 3 end denominator plus x over begin denominator x plus 3 end denominator equals 5 over begin denominator x to the 2 power − 9 end denominator open parenthesis x plus 3 close parenthesis open parenthesis x − 3 close parenthesis open square bracket 2 over begin denominator x − 3 end denominator close square bracket plus open parenth
- Fall '13
- Quadratic equation, student practice