1. Other Equations
Ex. Solve 3x 4 = 48x2

2. Ex. Solve x3 – 3x2 + 3x – 9 = 0 2

3. Ex. Solve x 4 – 3x2 + 2 = 0 3

4. When solving equations with radicals or variables on the bottom, check all answers.
Ex. Solve 4

5. Ex. Solve 5

6. 6

7. Ex. Solve 7

8. Ex. Solve 8

9. 9

10. Ex. Solve 10

11. 11

12. Ex. A ski club charted a bus for a ski trip at a cost of $480
Ex. A ski club charted a bus for a ski trip at a cost of $ In an attempt to lower the bus fare per skier, the club invited nonmembers to go along. After five nonmembers joined the trip, the fare per skier decreased by $ How many club members are going on the trip? 12

13. Compound Interest 13

14. Ex. When you were born, your grandparents deposited $5000 in an account that compounds interest quarterly. On your 25th birthday, the value of the investment is $25, What is the annual interest rate on the account? 14

15. Practice Problems
Section 1.6
Problems 1, 9, 13, 31, 59, 67, 91 15

16. Inequalities This means that we’ll use < > ≤ and ≥
Ex. Express each interval as an inequality. Is it bounded?
(-3, 5]
(-3, ∞)
[0, 2]
(-∞, ∞) 16 16

17. To solve inequalities, change them to equalities and then check the intervals.
[If you want treat as an equality, remember that multiplying or dividing by a negative switches the inequality]
Ex. Solve 5x – 7 > 3x + 9 17

18. Ex. Solve -3 < 6x – 1 < 3 18

19. |x| < 3 means x is anything between 3 and -3 -3 < x < 3
|x| > 3 means x is anything outside 3 and -3
x < -3 or x > 3 19

20. Ex. Solve |x – 5| < 2 20

21. Ex. Solve |x +3| ≥ 7 21

22. Ex. You are choosing between two cell phone plans. Plan A costs $49
Ex. You are choosing between two cell phone plans. Plan A costs $49.99 per month for 500 minutes plus $0.40 for each additional minute. Plan B costs $45.99 per month for 500 minutes plus $0.45 for each additional minute. How many additional minutes must you use in one month for Plan B to cost more than Plan A? 22

23. Practice Problems
Section 1.7
Problems 1, 25, 37, 49, 91 23

24. More Inequalities
Ex. Solve x2 – x – 6 < 0 24 24

25. Ex. Solve 2x3 – 3x2 – 32x > -48 25

26. Ex. Solve x2 + 2x + 4 > 0
Ex. Solve x2 + 2x + 4 < 0 26

27. Ex. Solve x2 + 2x + 1 ≤ 0
Ex. Solve x2 + 2x + 1 > 0 27

28. Ex. Solve 28

29. Ex. A projectile is fired straight upward from the ground with an initial velocity of 384 ft/sec. During what time period will its height exceed 2000 ft?
[s = -16t2 + v0t + s0] 29

30. Ex. The revenue and cost equations for a product are
R = x(50 – x) and C = 12x + 150,000
where R and C are measured in dollars and x is the number of units sold. How many units must be sold to obtain a profit of at least $1,650,000? What is the price per unit? 30

31. Ex. Find the domain of 31

32. Practice Problems
Section 1.8
Problems 13, 21, 25, 39, 55 32