SUNY at Stony Brook College Algebra Worksheet

This is an important assignment in my course.

All work must be shown

You do not need to explain steps

Just answer questions step by step and show all work.

Double check to make sure all work is correct.

Must complete 5 of 7 questions. (Must do entire set of parts to each question chosen)

Must get 100%

St. Joseph College
M::ath 111 -C.pring ,n,n
Senior instructor M. Broderick
Final Exam
Name:
———–
Directions: There are 7 General Questions-some have individual questions
within them … You are to answer 5 Complete General Questions … showing all the
wnrk whAn nArAC:C:~ry. F~rh q11,:::ic:tinn ic: wnrth ‘JO Pnintc:. r.:nnn II lrK
Question #1-From the Prerequisites Chapter
i. Simpiify: ={3×2 + 2x) + {l – Sx)
2. Multiply: (3×3 -15x 2 +4x) (x – 1)
3. Subtract: 9×4 -11x 2 +16 from 6×4 -20x 2 -x +3
4. Simplify: ..3{216,3
5. Rationalize the Denominator:
2-[3
Question #2 -from the Prerequisites Chapter
1.
2.
3.
4.
5.
Factor Completely: Sx3 – 45x
Factor Completely: 3×2 – 6x – 24
Factor: x3 – 27
Factor: 2×2 + x – 15
Factor: 2×3 – x2 – 6x + 3
Question #3-From Chapter 1
1. Solve for x:
4×2 = 12
2. Solve for x using Complete the Square: x2 + 2x – 6 = 0
3. Solve for x:
10 – 4 = 0
.Jx-
4. Solveforx:
~…..,
.;/ fJ.
–
–
/~
,f_,
5. Solve for x: Sx – 7 > 3x + 9
Question #4-From Chapter 3
Given: f(x) = 2×4 + Sx3 + 4×2 + Sx +2
1. Find all Possible Real Zeros
2. Test 3 Possible Real Zeros using f(x)
3. Find ALL factors
4. Find All Zeros
Question #5-From Chapter 4
Given:
1.
2.
3.
4.
(x2 + 3x) / ( x2 + x – 6)
Find x, and y intercepts
Find Vertical and Horizontal Asymptotes
Make a table using Negative, Zero, and Positive values
Sketch the graph of the given—make sure all asymptotes are shown.
Question #6 – From Chapter 5
1. Solve for x: 3x-1 = 81
· 2. Express in Log form: 10° =1
3. Express in exponential form: log ab= c
4. If In x =Ina+ In b- Inc — express x in terms of a,b,c
5. Sketch the graph of f(x) = e