Pre-Algebra Test Prep Chapter 8 Equations/Inequalities Planner Notes: Study Practice Test Test on Monday!!! Bellwork: Solve 2(9s + 3) = 6(3s + 1) Warm-Up Song

Bellwork: 2(9s + 3) = 6(3s + 1)  18s + 6 = 18s + 6Distribute  -6 = -6 Subtract 6  18s = 18s Divide by 18  Simplify  s = s  Answer: Works for all numbers!

Today:  Bellwork/Planner Notes5 minutes  Correct Homework5 minutes  Review PowerPoints for Equations and Inequalities10 minutes  Racing Game25 minutes  Exit Question 2 minutes  Clean Up

Homework Corrections (Correct your own) Homework Corrections (Correct your own)  Study Guide: Switch to video

Review PowerPoints  Equations With Variables Both Sides  Solve Inequalities

Two Teams… Who Will Win The Battle? Two Teams… Who Will Win The Battle?  Player from each team goes to board.  First player to work out correctly gets point.  Winning team gets prize  Winning team gets prize  First 2 players to the board!

Practice Test #1 4x + 8 = 3x - 1  4x + 8 = 3x – 1Subtract 3x  -3x = -3xCross out zero pair  x + 8 = -1Simplify  -8 = -8Cross out zero pair  x = -9Simplify

Practice Test #3 7a – 4 = 3(a + 9) + 4a  7a – 4 = 3(a + 9) + 4aDistribute  7a – 4 = 3a aCombine Like Terms  7a – 4 = 7a + 27Subtract 7a each side  -7a = -7aCross Out Zero Pair  -4 = 27Simplify  This is NEVER true, so the solution is the null set  0

Practice Test #4 2(k-4) = ½(4k – 16)  2(k-4) = ½(4k – 16)Distribute  2k -8 = 2k -8Since these equal….  Then this is true for ALL NUMBERS 

Twice a number is 4 more than the number. Choose the equation to find the unknown number, then solve.  A. C.  2x + 4 = x; x = -4 2x = x + 4; x = 4  B. D.  2x + x = 4; x = 4/3 2x = x + 4; x = -2 Your first response will count! Come to the board. C is correct response

Write an inequality for… (first response counts)  Cassidy’s allowance plus the $18 she earned baby-sitting was still less than $30.  A.C.  a a  B.D.  a + 18 ≥ 30a + 18 ≤ 30 The correct answer is C!

Write the inequality….  Six times a number is at most 91.  Answer: 6k ≤ 91  “at most” means the number cannot be greater than, so it must be less than or equal to.  Did you get tricked??? Take a note!

Your first response will count!  If k = 9, which word best describes the sentence  4k – 7 ≤ 30  A. OpenC. false  B. True D. subtraction The correct answer is false! (C)

Solve: m – 1 2/3 1  m – 1 2/3 1Add 1 2/3 to each side  + 1 2/ /3 Cross out zero pair  m2 2/3Simplify

7p – 5 ≤ -33  7p – 5 ≤ -33Undo subtraction  +5 +5Cross out zero pair  7p ≤ -28Undo multiplication  7 7Simpify  p ≤ -4  Sign does not change since we did not divide by a negative!  Sign does not change since we did not divide by a negative!

d ≥ 3 -7   d ≥ 3 Multiply both sides by   -7 ∙ d ≥ 3 ∙ -7 Simplify   1 -7   d ≤ -21Sign changes since   we multiplied by a   negative!  

Dane’s scores on the first three of four 100 point tests were 86, 92 and 89. What score does he need on his fourth test to ensure an average of at least 90?  Average is sum divided by # of items.  x = 90  4  Work backwards with inverse operations.  90 x 4 = – 86 – 92 – 89 = x  93 = x 

Homework: Finish Practice Test!  Answers on class webpage…  e/Grace/apt1.aspx e/Grace/apt1.aspx e/Grace/apt1.aspx  Test on Monday!!!!  (Remember…WASC will be here).

Exit Question: Write in your interactive notebook.  What are the differences and similarities between equations and inequalities?  Use a Venn Diagram to help.

Clean Up…  Thanks for playing…  Have a GREAT weekend (but study!).