Homework Log Thurs & Fri 10/22 Lesson Rev Learning Objective: To remember everything in Ch 2 Hw: #216 Pg. 155 #1 – 85 odd

Homework Log Mon 10/24 Lesson Rev Learning Objective: To remember everything in Ch 2 Hw: Extra Credit Test Review

10/22/15 Chapter 2 Review Advanced Math/Trig

Learning Objective To remember everything in Chapter 2!

Solve a Rational Equation LCD: x(1 – x)

Absolute Value Equations

Warm–up #2 Solutions

Solving for a Variable (S + F)

Simple Interest 5. Part of $20,000 is to be invested at 15% and the remainder at 9%. How much should be invested at each rate to yield an annual interest income of $2520. PrincipalratetimeInterest Inv 1 Inv 2 Total x – x =.15x.09(20000 – x) 2520 equation!.15x +.09(20000 – x) = 2520

.15x –.09x = x = 720 x = – = 8000 $12,000 at 15% $8,000 at 9% Simple Interest #5 cont’d

Investment 6. If $9000 is invested at 7% per year, how much additional money needs to be invested at 14% per year so that the total annual interest income from the investments is $1330? PrincipalratetimeInterest Inv 1 Inv 2 Total x 9000 x = 9000(.07) = x 1330 equation! x = 1330

.14x = 700 x = 5000 $5,000 at 14% Investment Cont’d

Mixture 7. I want to dilute 40 L of a solution that is 80% acid to one that is 50% acid. How much water should be added to the acid solution? Amount%Total Solution 1 Solution 2 Mix 50(40 + x) x x (80) = = 50(40 + x) = 24 L

Distance Problem 8. Laura & Luke left school at the same time and went in opposite directions. Laura was driving 40 mph faster than Luke. After 3 hours, they were 330 miles apart. How fast was Laura driving? RateTimeDistance Laura Luke Total 3 x x (x + 40) 3x 3(x + 40) + 3x = 330 3x x = 330 x = 35 = mph

Drain/Work Problem 9. An Olympic sized pool can be filled by pipe A in 12 hours and by pipe B in 10 hours. There is also a drain pipe that drains the entire pool in 6 hours. If the valves of pipe A, pipe B and the drain pipe are open, how long will it take to fill the pool? Alone Rate Time Together Part of Job Completed Pipe A Pipe B Drain Pipe x x = x

Pipe A’s part + Pipe B’s part + Drain’s part= 1 Whole Job Completed (60) x = 60 hours Drain/Work Problem #9 Cont’d Alone Rate Time Together Part of Job Completed Pipe A Pipe B Drain Pipe x x = x 5x + 6x – 10x = 60

Work Problem 10. Working together, Scott and Jenna can sweep a porch in 10 minutes. If Jenna worked alone, it would have taken her 15 minutes. How long does it take Scott to sweep the porch alone? Alone Rate Time Together Part of Job Completed Scott Jenna 10 Scott’s part + Jenna’s part = 1 Whole Job Completed =

Work Problem #10 Cont’d x = 15x 150 = 5x 30 minutes Alone Rate Time Together Part of Job Completed Scott Jenna 10 Scott’s part + Jenna’s part = 1 Whole Job Completed =

Solve Absolute Value Inequalities (1, 4)

Solve Absolute Value Inequalities

Solve by Factoring 2 #s that mult to –6 5 & add to 6–1

Solve by Completing the Square 16

Solve by Completing the Square

Solve by Factoring 2 #s that mult to –14 –5 & add to –72

Solve by Factoring 18. (u – 7)(u + 2) = 0 ((x +2) – 7)((x +2) + 2) = 0 (x – 5)(x + 4) = 0 x – 5 = 0x + 4 = 0 {– 4, 5} 2 Answers!! Highest Power is 2!!

Sum – Product Rule x 2 – (sum)x + product = 0 sum: 5 + –3 = 2 product: (5)(–3) = –15 x 2 – (2)(x) + (–15) = 0 x 2 – 2x – 15 = Find a monic quadratic eq’n whose roots are 5 & –3

Quadratic Formula Xavier is a negative boy who couldn’t decide (yes or no) whether to go to a radical party. It turns out that this boy is a total square because he missed out on 4 awesome chicks. And the party was all over at 2 AM.

Discriminant