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 + 6 Distribute -6 = -6 Subtract 6 18s = 18s Divide by 18 18 18 Simplify s=s Answer: Works for all numbers! Today: Bellwork/Planner Notes Correct Homework Review PowerPoints for Equations and Inequalities Racing Game Exit Question Clean Up 5 minutes 5 minutes 10 minutes 25 minutes 2 minutes 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? Player from each team goes to board. First player to work out correctly gets point. Winning team gets prize First 2 players to the board! Practice Test #1 4x + 8 = 3x - 1 4x + 8 = 3x – 1 -3x = -3x x + 8 = -1 -8 = -8 x = -9 Subtract 3x Cross out zero pair Simplify Cross out zero pair Simplify Practice Test #3 7a – 4 = 3(a + 9) + 4a 7a – 4 = 3(a + 9) + 4a 7a – 4 = 3a + 27 + 4a 7a – 4 = 7a + 27 -7a = -7a -4 = 27 Distribute Combine Like Terms Subtract 7a each side Cross Out Zero Pair Simplify 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 -8 Since these equal…. Then this is true for ALL NUMBERS Your first response will count! Come to the board. Twice a number is 4 more than the number. Choose the equation to find the unknown number, then solve. A. 2x + 4 = x; x = -4 B. 2x + x = 4; x = 4/3 C. 2x = x + 4; x = 4 D. 2x = x + 4; x = -2 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 + 18 30 a + 18 30 B. a + 18 ≥ 30 D. a + 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. Open C. false B. True D. subtraction The correct answer is false! (C) Solve: m – 1 2/3 + 1 2/3 m m – 1 2/3 1 1 Add 1 2/3 to each side + 1 2/3 Cross out zero pair 2 2/3 Simplify 7p – 5 ≤ -33 7p – 5 ≤ -33 +5 +5 7p ≤ -28 7 7 p ≤ -4 Undo subtraction Cross out zero pair Undo multiplication Simpify Sign does not change since we did not divide by a negative! d ≥ 3 -7 d ≥ 3 -7 Multiply both sides by -7 -7 ∙ d ≥ 3 ∙ -7 Simplify 1 -7 d ≤ -21 Sign 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. 86+92+89+x = 90 4 Work backwards with inverse operations. 90 x 4 = 360. 360 – 86 – 92 – 89 = x 93 = x Homework: Finish Practice Test! Answers on class webpage… http://teacherweb.com/HI/WahiawaMiddle /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!).