Transcript 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

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!).