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Chapter 3
Unit Question
How do we add in algebra?
Open Learning Logs
Date on Left…Section 3 – 4 on right
Warm UpWrite the opposite and the reciprocal of each number.
1. -9
2. 2/3
3. 12
4. 1.5
5. -20
6. 1/8
7. -4
8. 16
9. -2½
10. 3.65
Section 4
How do we solve equations of the form ax + b = c?
Homework Check
Algebraic Manipulation…HoffmaStyle…
1) Do addition or Subtraction FIRST
2) Do Multiplication LAST
a.k.a. Drop the Op
a.k.a. The Reciprocal/ “Bring Down…Bring Over” thing
6m + 11 = 125
Steps:
Find the variable…
What’s being added?
Drop the Op! -11 -11
6m = 114 What’s multiplying?
Now reciprocate or Bring down/Bring Over! m = 19
3 + 5y = 23 -3 -3
5y = 20
y = 4
Find the variable,
Drop the Op
Reciprocate or Bring Down/Bring Over
Get ‘er Done!
Try these easy ones…
6 6 5 5
85208
5h
Last of the “easy ones”
20 20
658
5h
5
8
5
8
104h206 y
6 6
26 y
26y
10255685 v
1025 1025
v51710 5 5
v342
GUSH! GUSH!
Try Now…
Hey! Don’t miss that sign!
5 less than 4 times a number is 35.
Find the number
3554 n
5 5
404 n
10n
4 4
Let n = the number
The number is 10
Tickets to a concert are $10 each plus a $12 service charge. If I paid $112 for my friends and I to see Aerosmith…
How many friends am I taking?
1121210 t
12 12
10010 t10
1
10
1
10t
Let t = # of tickets
purchased
However, 1 is mine, so I am taking 9 friends
The length of a jet part was 0.5 cm too long. It was shortened and then it was 0.01 cm too short.
How much of the part was cut off?
Set up an equation and solve!
01.05.0 c01.0)(5.0 c
5.0 5.0
51.0 c
51.0c
GUSH! GUSH!
Let c = amount cut off
0.51 cm were cut off!
Homework
• QuizPrep 3 – 1 to 3 – 4
• Quiz TOMORROW!
Homework
• Do HoffmaSheet 3 – 4