Pre-Algebra Test Prep Chapter 8 Equations/Inequalities

Pre-Algebra Test Prep Pre-Algebra Test Prep Chapter 8Chapter 8

Equations/InequalitieEquations/InequalitiessPlanner Notes: Study Practice TestPlanner Notes: Study Practice Test

Test on Monday!!!Test on Monday!!!

Bellwork: SolveBellwork: Solve

2(9s + 3) = 6(3s + 1)2(9s + 3) = 6(3s + 1)Warm-Up SongWarm-Up Song

Bellwork: Bellwork: 2(9s + 3) = 6(3s + 1)2(9s + 3) = 6(3s + 1)

18s + 6 = 18s + 618s + 6 = 18s + 6 DistributeDistribute -6 = -6-6 = -6 Subtract 6 Subtract 6 18s18s = = 18s18s Divide by 18 Divide by 18 18 18 Simplify18 18 Simplify s = s s = s Answer: Works for all numbers!Answer: Works for all numbers!

Today: Today:

Bellwork/Planner NotesBellwork/Planner Notes 5 minutes5 minutes Correct HomeworkCorrect Homework 5 minutes5 minutes Review PowerPoints for Review PowerPoints for

Equations and InequalitiesEquations and Inequalities 10 minutes10 minutes Racing GameRacing Game 25 minutes25 minutes Exit QuestionExit Question 2 minutes 2 minutes Clean UpClean Up

Homework CorrectionsHomework Corrections(Correct your own) (Correct your own)

Study Guide: Switch to videoStudy Guide: Switch to video

Review PowerPointsReview PowerPoints

Equations With Variables Both SidesEquations With Variables Both Sides

Solve InequalitiesSolve Inequalities

Two Teams…Two Teams…Who Will Win The Battle?Who Will Win The Battle?

Player from each team goes to board.Player from each team goes to board. First player to work out correctly gets First player to work out correctly gets

point.point. Winning team gets prize Winning team gets prize

First 2 players to the board!First 2 players to the board!

Practice Test #1Practice Test #14x + 8 = 3x - 14x + 8 = 3x - 1

4x4x + 8 = + 8 = 3x3x – 1 – 1 Subtract 3x Subtract 3x -3x = -3x-3x = -3x Cross out zero pairCross out zero pair x x + 8+ 8 = -1 = -1 SimplifySimplify -8-8 = = -8-8 Cross out zero pairCross out zero pair x = -9x = -9 SimplifySimplify

Practice Test #3Practice Test #37a – 4 = 3(a + 9) + 4a7a – 4 = 3(a + 9) + 4a

7a – 4 = 3(a + 9) + 4a7a – 4 = 3(a + 9) + 4a DistributeDistribute 7a – 4 = 7a – 4 = 3a3a + 27 + + 27 + 4a4a Combine Like TermsCombine Like Terms 7a – 4 = 7a + 277a – 4 = 7a + 27 Subtract 7a each sideSubtract 7a each side -7a-7a = -7a = -7a Cross Out Zero PairCross Out Zero Pair -4 = 27-4 = 27 SimplifySimplify

This is NEVER true, so the solution is the null setThis is NEVER true, so the solution is the null set 00

Practice Test #4Practice Test #42(k-4) = ½(4k – 16)2(k-4) = ½(4k – 16)

2(k-4) = ½(4k – 16)2(k-4) = ½(4k – 16) DistributeDistribute 2k -8 = 2k -82k -8 = 2k -8 Since these equal….Since these equal….

Then this is true for ALL NUMBERSThen this is true for ALL NUMBERS

Twice a number is 4 more than the Twice a number is 4 more than the number. Choose the equation to find number. Choose the equation to find the unknown number, then solve.the unknown number, then solve.

A. A. C.C. 2x + 4 = x; x = -42x + 4 = x; x = -4 2x = x + 4; x = 4 2x = x + 4; x = 4

B. B. D.D. 2x + x = 4; x = 4/3 2x + x = 4; x = 4/3 2x = x + 4; x = -22x = x + 4; x = -2

Your first response will count! Come to the board.

C is correct response

Write an inequality for…Write an inequality for… ( (first response countsfirst response counts))

Cassidy’s allowance plus the $18 she Cassidy’s allowance plus the $18 she earned baby-sitting was still less than earned baby-sitting was still less than $30.$30.

A.A. C. C. a + 18 30a + 18 30 a + 18 30a + 18 30

B.B. D.D. a + 18 a + 18 ≥ 30≥ 30 a + 18 ≤ 30a + 18 ≤ 30

The correct answer is C!

Write the inequality….Write the inequality….

Six times a number is at most 91.Six times a number is at most 91.

Answer: 6k Answer: 6k ≤ 91≤ 91 ““at most” means the number cannot be at most” means the number cannot be

greater than, so it must be less than or greater than, so it must be less than or equal to.equal to.

Did you get tricked??? Take a note!Did you get tricked??? Take a note!

Your first response will count! If k = 9, which word best If k = 9, which word best

describes the sentencedescribes the sentence 4k – 7 4k – 7 ≤ 30≤ 30

A. OpenA. Open C. falseC. false

B. True B. True D. subtractionD. subtraction

The correct answer is false! (C)

Solve: m – 1 2/3 1Solve: m – 1 2/3 1

m – 1 2/3 1m – 1 2/3 1Add 1 2/3 to each sideAdd 1 2/3 to each side + 1 2/3 + 1 2/3 + 1 2/3 + 1 2/3 Cross out zero pairCross out zero pair mm 2 2/32 2/3 SimplifySimplify

7p – 5 ≤ -337p – 5 ≤ -33

7p – 5 ≤ -337p – 5 ≤ -33 Undo subtractionUndo subtraction +5 +5+5 +5 Cross out zero pairCross out zero pair 7p 7p ≤ ≤ -28-28 Undo multiplicationUndo multiplication 77 7 7 SimpifySimpify p ≤ -4p ≤ -4

Sign does not change since we did Sign does not change since we did not divide by a negative! not divide by a negative!

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!

Dane’s scores on the first Dane’s scores on the first three of four 100 point tests three of four 100 point tests were 86, 92 and 89. What were 86, 92 and 89. What score does he need on his score does he need on his fourth test to ensure an fourth test to ensure an average of at least 90?average of at least 90?

Average is sum divided by # of items. Average is sum divided by # of items. 86+92+89+x86+92+89+x = 90 = 90 44 Work backwards with inverse operations.Work backwards with inverse operations. 90 x 4 = 360. 360 – 86 – 92 – 89 = x90 x 4 = 360. 360 – 86 – 92 – 89 = x 93 = x93 = x

Homework: Homework: Finish Practice Test! Finish Practice Test!

Answers on class webpage…Answers on class webpage… http://teacherweb.com/HI/WahiawaMiddlhttp://teacherweb.com/HI/WahiawaMiddl

e/Grace/apt1.aspxe/Grace/apt1.aspx

Test on Monday!!!! Test on Monday!!!! (Remember…WASC will be here).(Remember…WASC will be here).

Exit Question: Write in Exit Question: Write in your interactive your interactive notebook. notebook.

What are the differences and similarities What are the differences and similarities between equations and inequalities? between equations and inequalities?

Use a Venn Diagram to help. Use a Venn Diagram to help.

Clean Up…Clean Up…

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