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# Math 130 College Algebra

• ###### Sample of what you should know before taking Math 130:
1. Solve • Solution
Let to get       2. If , find • Solution  3. Graph .  Label vertex and all intercepts.
• Solution 4. Solve using Elimination
• Solution     Solution:  (– 1, 1, 2)

5. Solve • Solution     6. • Solution        7. A model rocket is launched upward from a platform 40 feet above the ground.  The quadratic function models the rocket’s height above the ground, , in feet, seconds after it was launched.  What is the maximum height that the rocket will reach?
• Solution  The rocket will reach a maximum height of 2,540 feet above the ground.

• ###### Sample of what you will learn in Math 130:
1. Prove • Solution
Proof:  If then 5  =  5  so statement is true.

Suppose the statement is true for n = k, then      Hence, the statement is true for n = k + 1.
Therefore, the statement is true for all natural numbers.
2. Find a 1 for the arithmetic sequence given S 16 = – 160  and a 16 = – 25
• Solution     3. Graph • Solution 4. Solve using Gauss-Jordan elimination with matrices
• Solution          Solution: ( – 1 , 1, 2)
5. Perform each operation when possible:
a. b. c. • Solution
a. b.  cannot be multiplied
c. 6. Graph identifying any intercepts and asymptotes
• Solution
x – intercepts: (3, 0), (– 1, 0)
y – intercept: (0, 0.3)
vertical asymptotes: x = 2.5,  x = – 2
horizontal asymptote: y = 0.5
graph crosses asymptote at 7. Solve • Solution        {solution extraneous} 8. Find all zeros of the function: • Solution

The possible rational roots are: ±1, 2, 3, 4, 6, 12, ½, 3/2, 1/3, 2/3, 4/3, 1/6         Zeros of h(x) are: 