1. Objective- To solve equations in the form ax + b = cx + d and inequalities in the form ax + b < cx + d
Solve.
14k + 20 = 21k - 43
-14k k
20 = 7k - 43
63 = 7k
9 = k

2. Solve.
x x = 2x
2.05x = 2x
-2x x
0.05x =
x = -20,000

3. Solve.
- 2y = - 6y
+2y y
11 = - 4y
= y

4. Problem
In 1990, the population of El Paso was
515,000 and increasing at 9000 people
per year. Milwaukee was 628,000 and
decreasing at 800 people per year. When will they be the same?
Let n = number of years
Let P = population
El Paso
Milwaukee
P = 515, n
P = 628, n

5. Let n = number of years
Let P = population
El Paso
Milwaukee
P = 515, n
P = 628, n
515, n = 628, n
+ 800n n
515, n = 628,000
-515, ,000
9800n = 113,000
n years

6. Problems Involving Inequalities
Solve.
-3( x - 5 ) + 7 < 4( 3x + 2)
-3x < 12x + 8
-3x < 12x + 8
+3x x
22 < 15x + 8
14 < 15x
x >
< x

7. Tree Problem
A beech tree is 8 ft. tall and grows
ft. per year. A maple tree is 3 ft.
tall and grows 1 foot per year. When
will the maple be taller than the beech?
Let x = number of years
Let h = height of tree
Beech tree
Maple tree
h = x
h = 3 + x

8. < When is maple taller than beech? Let x = number of years
Let h = height of tree
Beech tree
<
Maple tree
h = x
h = 3 + x
x < x
- 0.5x x
8 < x
5 < 0.5x
x > 10 years
10 < x