*Emmanuel College Club Event Evaluation*
Club Name: Commuter Council Co-Sponsor(s, if any): N/A Contact Person/Number: Lindsey Skiddell, 781-484-8650
Event Name: Skating at Frog Pond Date of Event: 12/12/09 Event Type: Social (Social, Booster, Educational
College Algebra MATH-1101
Final Exam Review
The final exam will take place on Thursday, April 30th, 8:0010:00am in Admin 432. The exam consists
of 15 questions over all the material covered during the semester, and will be worth a total of 150
points. You
College Algebra MATH-1101
Test 3 Review Solutions
1. The function can be rewritten as () = 2 8 + 17.
(a) y-intercept: (, ). x-intercepts: (no real solution to 2 8 + 17 = 0)
(b) vertex: (, ) = (, )(c) = (d) = 1 > 0, so the parabola opens up
2. (a) The func
College Algebra MATH 1101
Test 3 Review Problems
1. For the given function () = ( 4)2 + 1, state (a) the x- and y-intercepts, (b) the coordinates of
the vertex, (c) the equation of the axis of symmetry, and (d) whether the parabola opens up or
down.
2. Gi
Precalculus MATH-1103
Test 1 Review Problems
1. Solve the following.
(b) 2 + 6 + 5 0
(a) |3 5| = 2
2. Complete the square on the and terms to find the center and radius of the circle.
2 + 4 + 2 2 = 8
3. For the graphs below, (i) Specify if the graph has
College Algebra MATH 1101
2.8 Composition of Functions
Consider the two word change machines.
COW
COWS
A
POT
1.
BONK
KNOB
B
B
A
POTS
RAT
TAR
B
Describe the effect of (a) Machine A on a word and (b) Machine B on a word.
2. Consider a composition of Machine
R.4 Factoring Polynomials
Last section, we multiplied polynomials
Here, we will reverse the process
can we find factors whose product is a
given polynomial?
Method 1: Common Factors
Find greatest common factor (GCF) of the
terms
Method 2: Grouping
First g
Formulas
Law of Exponents: am an = am+n
(am )n = amn
am
= amn
n
a
(a b)n = an bn
b b2 4ac
Quadratic formula: x =
2a
Distance formula: d =
Midpoint formula:
(x2 x1 )2 + (y2 y1 )2
x1 + x2 y 1 + y 2
,
2
2
Slope-intercept form of a linear equation: y = mx + b
James 1 2-7(NIV)
2 Consider
Juwan Lamar
it pure joy, my brothers and sisters,[a] when-
ever you face trials of many kinds, 3 because you know
that the testing of your faith produces perseverance. 4 Let
perseverance finish its work so that you may be matur
1.6 Other types of equations
and applications
Rational Equation (an equation
involving a rational expression)
Remember: denominator cannot be
zero!
throw out any solution that makes
denominator zero
1.
2.
Multiply both sides of the equation by LCD
Simplif
2.5 Equations of Lines
Point-Slope Form
The line with slope m passing through the
point (x1, y1) has an equation
y - y1 =m( x - x1 ),
Example: Find an equation of the line
through (3, -5) having slope -2
Example: Find an equation of the line
Slope-Interce
MATH 1101 - College Algebra
Applications of Linear Equations 1.2
1. If you pay $33 for a sweater after receiving a 25% discount, what was the price of the sweater
before the discount?
2. Maria drove home for the weekend. She averaged 40 mph on Friday. Ret
MATH 1101 - College Algebra
Applications of Quadratic Equations 1.5
SOLUTIONS
1. What is the length of the side of a square if its area and perimeter are numerically equal?
Given is the side length of a square. The area is = 2 and the perimeter is = 4. So
MATH 1101 - College Algebra
Evaluating Logarithms 4.4
Part A In chemistry, pH is a measure of the acidity or alkalinity of a solution. The pH value is
defined as
pH = log[H3 O+ ]
where [H3 O+ ] is the hydronium ion concentration in moles per liter.
1. Fin
MATH 1101 - College Algebra
Applications of Quadratic Equations 1.5
1. What is the length of the side of a square if its area and perimeter are numerically equal?
2. If a projectile is shot upward from the ground with an initial velocity of 73.5 /, neglec
4.1 Inverse Functions
The inverse activity of opening a door is
closing a door.
The inverse operation of addition is
subtraction.
one undoes the other
Some functions are inverses of each other.
In order for a function to have an inverse, it
must be one-to
College Algebra MATH 1101
2.8 Composition of Functions
Consider the two word change machines.
COW
COWS
A
POT
1.
(a)
(b)
2.
BONK
KNOB
B
B
A
POTS
RAT
TAR
B
Describe the effect of (a) Machine A on a word and (b) Machine B on a word.
Machine A adds an s at th
Test 1 review problems
If , find
1.
2. If , find determine their domains & ranges, and graph both
functions
3. Graph and give a sketch of its inverse
4. Given and find , and state their domains.
5. Suppose Complete the square to find the vertex of the pa