Math 107 - Self Assessment
5.2 - Right Triangle Trigonometry
Review Problems
1. Find the hypotenuse of a right triangle whose legs are 3 and 7.
2. Find the leg of a right triangle whose other leg is 8 and the hypotenuse is 9.
Basic Knowledge
1. Find all s
Math 107 F12 - Self Assessment Exercises
1
P1 - The Real Numbers and Their Properties
Review problems
1. Order of operations and operations on integers. Evaluate the following. Do not use
calculators.
(a) 3(4 + 2 (3 5(1 2) + 6)
(b) 5 3(6 8)2
(c) 23 (4)2
2
Math 107 - Self Assessment Exercises
1
8.1 - Systems of Equations
Review problems
1. A box has the volume of 12 cubic inches. If the width of the box is 4 in, and the length is 9 in,
what is its height?
2. A circle has a circumference of 40 in. Find the r
Math 107 - Self Assessment
5.4 - Graphs of Sine and Cosine
Review Problems
1. Simplify the following:
2
39
5
(b) 1
(a)
2
4
2. Use transformations of graphs (translation, reection, stretch, compresssion) to sketch the graphs of
the following:
(a) y = (x 3
Math 107 - Self Assessment
5.3 - Trigonometric Functions of Any Angle
Review Problems
1. Evaluate the following:
(a) sin
(b) tan (30 )
4
(c) sec
6
(d) cos
3
Basic Knowledge
2. Evaluate the following:
(a) sin
4
(b) cos
5
3
(c) sec
7
6
5
(e) cot
2
3
(f) s
Math 107 - Self Assessment
5.2 - Right Triangle Trigonometry
Review Problems
1. Find the hypotenuse of a right triangle whose legs are 3 and 7.
2. Find the leg of a right triangle whose other leg is 8 and the hypotenuse is 9.
Basic Knowledge
3. Find the v
Math 107 - Self Assessment Exercises
1
4.3 - The Logarithmic Function
Review problems
1. Operations on exponents. Simplify. Write answers with only positive exponents.
4 8 2/3
(a) (8x y )
(b)
24 51
2 52
2/3
Basic knowledge
2. Evaluate each expression or s
Math 107 - Self Assessment Exercises
1
4.1 and 4.2 - Exponential functions
Review problems
1. Operations on exponents. Simplify. Write answers with only positive exponents.
(2x3 y )4
(a)
(b) (16x4 y 8 )3/4
(2xy 1 )3
Basic knowledge
2. Given function f (x)
Math 107 F12 - Self Assessment Exercises
P2 - Integer Exponents
Review problems
1. Order of operations and exponentiating numbers. Evaluate the following:
(a) 23
(b) (3)2
(c) 82
(d) 4 5(42 33 )2
2. Explain the difference between the following pairs of exp
Math 107 F12 - Self Assessment Exercises
1
1.5 - Solving Other Types of Equations
Review problems
1. Factoring polynomials. Factor the following polynomials completely or state that the polynomial is not factorable:
(a) 9x2 + 6x + 1
(b) x4 + 9
(c) 2a4 + 2
Math 107 - Self Assessment Exercises
1
3.1 - Quadratic Functions
Review problems
1. Transformations of functions. Use transformations of function f (x) = x2 to sketch the graph
of:
(a) g (x) = x2
(b) g (x) = (x 3)2
(c) g (x) = x2 + 3
2. Finding intercepts
MATH 120 SPRING 2013
PROF. BEN PATIAK
1. COURSE WEBSITES:
Syllabus: http:/m.njit.edu/Undergraduate/Course_Syllabi/Spring2013/Math_120-S13.html
Online Grade: www.engrade.com : Username and password will be given in our first meeting.
Class Announcements an
AP Statistics - Chapter 2A Warm-Ups
2. A researcher is interested in determining if one could predict the score on a statistics exam from the amount of
time spent studying for the exam. In this study, the explanatory variable is
A) the researcher
B) the a
Review Chapters 1-8
AP Statistics
Name_
EXAM: Thursday, January 19th 7:45am
1.
The mean score for a test in 1st period was 83%, and the mean score for 2nd period was 78%. 1st
period has 22 people, whereas 2nd period has 29 people. What was the average sco
Statistics Final Review
Name: _
Pd: _
Breakdown for the final, 42 questions:
1-2 questions on each of the following:
o Quantitative/qualitative variables, stem and leaf plots, statistics/parameters, CIs
(know the z scores for each level of confidence), C
Agreement for Course Extension of Math 107
We know that this semester has proven very challenging for many reasons including the
impacts of Hurricane Sandy. Many of you in Math 107 appear to be falling short of your goals
for the course, in some cases, se