College Algebra Semester Exam Review -
Baggett (Fall 2014)
Your exam is Monday, December 15, 2014; at 8:30 am in room C-2 for both B & F-blocks. Please bring
two sharpened pencils. The midterm will be no calculator. There will be about 90 multiple choice
questions and 8 graphs to sketch. You may bring in one 3 by 5 index card with formulas and information
(turn in the index card with exam and get a bonus 5 pts).
You should go through all old quizzes and old tests. Study by doing problems!!!
Please be able to do the following:
R1 : The Real Number System
1. Be able to read and use interval notation (i.e., (1,∞)& [2 , 8))
2. Identify various kinds of real numbers.
3. Find the absolute value of a number.
R2: Integer Exponents, Scientific Notation, and Order of Operations
1. Simplify expressions with integer exponents
2. Solve problems using scientific notation
3. Use the rules for order of operations
R3: Addition, Subtraction and Multiplication of Polynomials
1. Identify terms coefficients and degree of a polynomial
2. Add, subtract, and multiply polynomials.
R4: Factoring
1.
2.
3.
4.
Factor polynomials by removing a common factor
Factor by grouping
Factor trinomials of the form 𝑥 2 + 𝑏𝑥 + 𝑐
Factor trinomials of the form 𝑎 𝑥 2 + 𝑏𝑥 + 𝑐 𝑤ℎ𝑒𝑟𝑒 𝑎 ≠ 1
QUIZ R.1-R.4
R5: The basics of Problem Solving
1. Solve linear equations
2. Solve quadratic equations
3. Solve a formula for a given letter
R6: Rational Expressions
1. Determine the domain of a rational expression
2. Simplify rational expressions
3. Multiply, divide, add, and subtract rational expressions
4. Simplify complex rational expressions
R7: Radical Notation and Rational Exponents
1.
2.
3.
4.
Simplify radical expressions
Rationalize denominators in rational expressions
Covert between exponential and radical notation
Simplify expressions with rational expressions
TEST R Sections
Also had HW quizzes: R.2a, R.2b, R.3, R.4, R.4B, R.5a, R.5b, R.6a, R.6b, R.7
Quiz - Exponents and radicals
Section 1.1: Introduction to Graphing
1.
2.
3.
4.
5.
6.
Finding x and y-intercepts
Graphing lines
Finding the distance between two points using the distance formula
Using the midpoint formula
Finding the equation of a circle
Graphing circles
Section 1.2: Functions and Graphs
1.
2.
3.
4.
5.
6.
Determining whether a relation is a function
Finding function values using a formula or a graph
Graphing functions
Determine whether a graph is a function
Find the domain and range of a function
Solving application problems using functions
Section 1.3: Linear Functions, Slope and Applications
1.
2.
3.
4.
5.
Determine the slope given two points on a line
Solve applications problems involving slope
Find the slope and y-intercept given an equation
Graph a linear equation using the slope and the y-intercept
Solve application problems
Quiz 1.1-1.3
Section 1.4: Equations of lines and modeling
1.
2.
3.
4.
Determining equations of lines
Given two lines – determine whether the lines are parallel or perpendicular
Model a set of data with a linear equation
Fit a regression line through data – and use the equation to make predictions
Section 1.5: Linear equations, functions, zeros, and applications
1. Solving linear equations
2. Solving application problems using linear models
3. Finding zeros of linear equations
Section 1.6 Solving Linear Inequalities
1. Solve Linear Inequalities
2. Solve Compound Inequalities
TEST Chapter 1
Also had HW quizzes: 1.1a, 1.1b, 1.1C, 1.3a, 1.4a, 1.4b, 1.6
End of 1st quarter
Take-home quiz word problems
Section 2.1 Increasing, Decreasing, and Piecewise Functions; Applications
1. Identify where functions are increasing, decreasing, and constant
2. Identify where there are relative maxima and relative minima
3. Graph piecewise functions
Section 2.2 The Algebra of Functions
1. Find the sum, difference, product, and quotient of two functions.
2. Determine the domain of combination of functions
3. Find the difference quotient
Section 2.3 The Composition of Functions
1. Find the composition of two functions and its domain
2. Decompose a function as a compositions of two functions
Section 2.4 Symmetry and Transformations
1. Determine the symmetry of a graph
2. Determine whether a function is even, odd, or neither
Test 2.1 - 2.4
Section 2.5 Transformations
1.
Given a graph of a function, graph its transformation under translations, reflections, stretchings,
and shrinking
Section 2.6 Variation and Applications
1. Find equations of direct variation, inverse variation, and joint variation
2. Solve applied problems involving variation
Quiz 2.6
Also had HW quizzes: 2.1a, 2.1 b, 2.2a, 2.2b, 2.3a, 2.5a, 2.5b, 2.5c
Section 3.1 The Complex Numbers
1. Perform Computations involving complex numbers
Section 3.2 Quadratic Equations, Functions, Zeros, and Models
1. Find zeros of quadratic functions and solve quadratic equations using the principle of zero
products, by using the principle of square roots, by completing the square, and by using the
quadratic formula.
Test Sections 2.5, 3.1, 3.2
Will also have at least 2 HW quizzes on sections 3.1 and 3.2
The exam will be multiple choice and some short answer. Know how to graph your basic functions.
Review sheets or practice problems were given for all tests – these should be used to help you study
for your midterm. Also, several worksheets were given throughout the semester. You should
review these.
Be sure to see me for correct answers for old tests, quizzes, and worksheets – before you leave for
the weekend – this will make your studying time much more productive.