1. Warm-Up -4 + 5x 3x +12 2x – (4 – 5x) = 3(x + 4) 2x – 4 + 5x = 3x + 12
1.)
2x – (4 – 5x) = 3(x + 4) 2x
– 4 + 5x =
3x + 12 x # 2 -4
7x – 4 =
3x + 12 5
-3x
-3x 7x -4
4x – 4 = 12 +4 +4
4x = 16 4 4 x = 4
BPHS

2. CA Standards: Objectives: Agenda 1.) Warm - Up
4.0: Students simplify expressions before solving linear equations in one variable. 12.0: Students simplify fractions with polynomials in the numerator and denominator by factoring both and reducing them to the lowest terms.
Objectives:
(1) Students simplify expressions use inverse operations to solve equations.
Agenda
1.) Warm - Up
2.) Lesson Fractions #1 ppt.
3.) Assignment

3. For example: Zapping Fractions Pencils Down Anytime you see a fraction

4. An easy way to solve equations with fractions, is to zap the equation with multiplication.
Example 1: 1 3●
zap 1
We need to zap that 3 with multiplication.
So multiply EVERYTHING by 3.
Write This!

5. Zapping Fractions 5● 1 1 Example 2: zap
We need to zap that 5 with multiplication.
So multiply everything by 5.

6. Zapping Fractions 3● 1 1 Try one: zap
We need to zap that 3 with multiplication.
So multiply everything by 3.

7. Equations with fractions
When there is more than one fraction
Two Examples:
Example 3:
Example 4:

8. Example 3: 21● 3 7 7 1 1 1 What #’s are in the denominator? 7 and 3
Multiply those numbers.
7●3
= 21
21●
Distribute that number into EVERYTHING! 3 7 7
Reduce the top and bottom. 1 1 1
D C M A D

9. You try: 12● 4 3 3 1 1 1 What #’s are in the denominator? 3 and 4
Multiply those numbers.
3●4
= 12
12●
Distribute that number into EVERYTHING! 4 3 3
Reduce the top and bottom. 1 1 1
D C M A D

10. Example 4: 24● 6 8 12 1 1 1 What #’s are in the denominator?
4, 3 and 2
Multiply those numbers.
4●3●2
= 24
24●
Distribute that number into EVERYTHING! 6 8 12
Reduce the top and bottom. 1 1 1
D C M A D x # 6 8
14x

11. You Try: 30● 10 15 6 1 1 1 What #’s are in the denominator? 3, 2 and 5
Multiply those numbers.
3●2●5
= 30
30●
Distribute that number into EVERYTHING! 10 15 6
Reduce the top and bottom. 1 1 1
D C M A D x # 20 15
35x