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Pre-Algebra Test Prep Chapter 8 Equations/Inequalities

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

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Pre-Algebra Test Prep Chapter 8 Equations/Inequalities

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

  2. 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!

  3. Today: • Bellwork/Planner Notes 5 minutes • Correct Homework 5 minutes • Review PowerPoints for Equations and Inequalities 10 minutes • Racing Game 25 minutes • Exit Question 2 minutes • Clean Up

  4. Homework Corrections(Correct your own)  • Study Guide: Switch to video

  5. Review PowerPoints • Equations With Variables Both Sides • Solve Inequalities

  6. 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!

  7. Practice Test #14x + 8 = 3x - 1 • 4x + 8 = 3x – 1 Subtract 3x • -3x = -3x Cross out zero pair • x + 8 = -1 Simplify • -8 = -8Cross out zero pair • x = -9 Simplify

  8. Practice Test #37a – 4 = 3(a + 9) + 4a • 7a – 4 = 3(a + 9) + 4a Distribute • 7a – 4 = 3a + 27 + 4a Combine Like Terms • 7a – 4 = 7a + 27 Subtract 7a each side • -7a = -7a Cross Out Zero Pair • -4 = 27 Simplify • This is NEVER true, so the solution is the null set • 0

  9. Practice Test #42(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

  10. 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. C. • 2x + 4 = x; x = -4 2x = x + 4; x = 4 • B. D. • 2x + x = 4; x = 4/3 2x = x + 4; x = -2 C is correct response

  11. 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. D. • a + 18 ≥ 30 a + 18 ≤ 30 The correct answer is C!

  12. 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!

  13. 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)

  14. Solve: m – 1 2/3 1 • m – 1 2/3 1 Add 1 2/3 to each side • + 1 2/3 + 1 2/3 Cross out zero pair • m 2 2/3 Simplify

  15. 7p – 5 ≤ -33 • 7p – 5 ≤ -33 Undo subtraction • +5 +5 Cross out zero pair • 7p ≤ -28 Undo multiplication • 7 7 Simpify • p ≤ -4 • Sign does not change since we did not divide by a negative! 

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

  17. 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

  18. Homework: Finish Practice Test! • Answers on class webpage… • http://teacherweb.com/HI/WahiawaMiddle/Grace/apt1.aspx • Test on Monday!!!! • (Remember…WASC will be here).

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

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

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