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