1. To solve more complicated equations that have variables on both sides.
Ch 3.5
Objective:
To solve more complicated equations that have variables on both sides.

2. Review x + 6 = 10 2x + 6 = 10 2(x + 6) = 10 2(x + 6) = 10 + x
Billie is 3 years less than Sally. If Sally is 12 years old, how old is Billie?

3. 3.5 Homework (#1)
5x – 3 = 13 – 3x + 3x + 3x 8x – 3 = x = x = 2
Inverse Property of Addition w/Variable
Inverse Property of Addition
Inverse Property of Multiplication

4. 3.5 Homework (#2)
- 4c – 11 = 4c c + 4c - 11 = 8c = 8c 8 8
Inverse Property of Addition w/Variable
Inverse Property of Addition
Inverse Property of Multiplication
- 4
= c

5. there is NO SOLUTION for x!
TRICKY ones
x= x
x+ 1 = x + 1
2x = 2x
x can be ANY REAL NUMBER!
4) x + 1 = x
5) x + 2 = x + 1
there is NO SOLUTION for x!

6. 3.5 Homework (# 23)
Two thirds of a number reduced by 11 2 * ( n - 11 ) 3 is equal to 4 more than the number = 4 + n 2 (n – 11) = 4 + n

7. 3.5 Homework (#26)
Find the length and width of a rectangle whose perimeter is 24 P = 24 and the length is 3 inches greater than its width. L = 3 + w Formula: P = 2L + 2w 24 = 2(3 + w) + 2w