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1. Request Access
2. Download for Offline Use
3. Mathematica—Link to in Blackboard
4. I Need Help
5. Introduction to Real Numbers: Algebra Essentials
6. Classifying a Real Number
7. Performing Calculations Using the Order of Operations
8. Using Properties of Real Numbers
9. Evaluating Algebraic Expressions
10. Formulas
11. Simplifying Algebraic Expressions
12. Key Concepts & Glossary
13. Introduction to Linear Equations in One Variable
14. Solving Linear Equations in One Variable
15. Solving a Rational Equation
16. Finding a Linear Equation
17. Determining Whether Graphs of Lines are Parallel or Perpendicular
18. Key Concepts & Glossary
19. Introduction: Models and Applicaitons
20. Setting up a Linear Equation to Solve a Real-World Application
21. Using a Formula to Solve a Real-World Application
22. Key Concepts & Glossary
23. Introduction to Complex Numbers
24. Express square roots of negative numbers as multiples of i
25. Plot complex numbers on the complex plane
26. Add and subtract complex numbers
27. Multiply and divide complex numbers
28. Key Concepts & Glossary
29. Introduction: Quadratic Equations
30. Solving Quadratic Equations by Factoring
31. Using the Square Root Property
32. Completing the Square
33. Using the Quadratic Formula
34. Key Concepts & Glossary
35. Introduction: Other Types of Equations
36. Solving Equations Involving Rational Exponents
37. Solving Equations Using Factoring
38. Solving Radical Equations
39. Solving an Absolute Value Equation
40. Solving Other Types of Equations
41. Key Concepts & Glossary
42. Introduction: Linear Inequalities and Absolute Value Inequalities
43. Using Interval Notation
44. Using the Properties of Inequalities
45. Understanding Compound Inequalities
46. Solving Absolute Value Inequalities
47. Key Concepts & Glossary
48. Introduction to Functions and Function Notation
49. Determine whether a relation represents a function
50. Find the input and output values of a function
51. Determine whether a function is one-to-one
52. Use the vertical line test to identify functions
53. Graph the functions listed in the library of functions
54. Key Concepts & Glossary
55. Introduction to Domain and Range
56. Find the domain of a function defined by an equation
57. Use notations to specify domain and range
58. Find domain and range from graphs
59. Find domains and ranges of the toolkit functions
60. Graph piecewise-defined functions
61. Key Concepts & Glossary
62. Introduction to Rates of Change and Behaviors of Graphs
63. Find the average rate of change of a function
64. Use a graph to determine where a function is increasing, decreasing, or constant
65. Use a graph to locate the absolute maximum and absolute minimum
66. Key Concepts & Glossary
67. Introduction to Composition of Functions
68. Combine functions using algebraic operations
69. Create a new function by composition of functions
70. Evaluate composite functions
71. Find the domain of a composite function
72. Decompose a composite function into its component functions
73. Key Concepts & Glossary
74. Introduction to Transformation of Functions
75. Graph functions using vertical and horizontal shifts
76. Graph functions using reflections about the x-axis and the y-axis
77. Determine whether a function is even, odd, or neither from its graph
78. Graph functions using compressions and stretches
79. Combine vertical and horizontal shifts
80. Key Concepts & Glossary
81. Introduction to Absolute Value Functions
82. Graph an absolute value function
83. Solve an absolute value equation
84. Solve an absolute value inequality
85. Key Concepts & Glossary
86. Introduction to Inverse Functions
87. Verify inverse functions
88. Determine the domain and range of an inverse function
89. Find or evaluate the inverse of a function
90. Use the graph of a function to graph its inverse
91. Key Concepts & Glossary
92. Introduction to Linear Functions
93. Represent a linear function
94. Determine whether a linear function is increasing, decreasing, or constant
95. Calculate and interpret slope
96. Write the point-slope form of an equation
97. Write and interpret a linear function
98. Key Concepts & Glossary
99. Introduction to Graphs of Linear Functions
100. Graph linear functions
101. Write the equation for a linear function from the graph of a line
102. Given the equations of two lines, determine whether their graphs are parallel or perpendicular
103. Write the equation of a line parallel or perpendicular to a given line
104. Solve a system of linear equations
105. Key Concepts & Glossary
106. Introduction to Complex Numbers
107. Express square roots of negative numbers as multiples of i
108. Plot complex numbers on the complex plane
109. Add and subtract complex numbers
110. Multiply and divide complex numbers
111. Key Concepts & Glossary
112. Introduction to Dividing Polynomials
113. Use long division to divide polynomials
114. Use synthetic division to divide polynomials
115. Use polynomial division to solve application problems
116. Key Concepts & Glossary
117. Introduction to Zeros of Polynomials
118. Evaluate a polynomial using the Remainder Theorem
119. Use the Factor Theorem to solve a polynomial equation
120. Use the Rational Zero Theorem to find rational zeros
121. Find zeros of a polynomial function
122. Use the Fundamental Theorem of Algebra
123. Use the Linear Factorization Theorem to find polynomials with given zeros
124. Use Descartes’ Rule of Signs
125. Solve real-world applications of polynomial equations
126. Key Concepts & Glossary
127. Introduction to Rational Functions
128. Use arrow notation
129. Solve applied problems involving rational functions
130. Find the domains of rational functions
131. Identify vertical and horizontal asymptotes
132. Identify horizontal asymptotes
133. Graph rational functions
134. Key Concepts & Glossary
135. Introduction to Inverses and Radical Functions
136. Find the inverse of a polynomial function
137. Restrict the domain to find the inverse of a polynomial function
138. Key Concepts & Glossary
139. Introduction to Exponential Functions
140. Evaluate exponential functions
141. Find the equation of an exponential function
142. Use compound interest formulas
143. Evaluate exponential functions with base e
144. Key Concepts & Glossary
145. Introduction to Graphs of Exponential Functions
146. Graph exponential functions
147. Graph exponential functions using transformations
148. Key Concepts
149. Introduction to Logarithmic Functions
150. Convert from logarithmic to exponential form
151. Convert from exponential to logarithmic form
152. Evaluate logarithms
153. Use common logarithms
154. Use natural logarithms
155. Key Concepts & Glossary
156. Introduction to Graphs of Logarithmic Functions
157. Identify the domain of a logarithmic function
158. Graph logarithmic functions
159. Graphing Transformations of Logarithmic Functions
160. Key Concepts
161. Introduction to Logarithmic Properties
162. Use the product rule for logarithms
163. Use the quotient and power rules for logarithms
164. Expand logarithmic expressions
165. Condense logarithmic expressions
166. Use the change-of-base formula for logarithms
167. Key Terms & Glossary
168. Introduction to Exponential and Logarithmic Equations
169. Use like bases to solve exponential equations
170. Use logarithms to solve exponential equations
171. Use the definition of a logarithm to solve logarithmic equations
172. Use the one-to-one property of logarithms to solve logarithmic equations
173. Solve applied problems involving exponential and logarithmic equations
174. Key Concepts & Glossary
175. Introduction to Exponential and Logarithmic Models
176. Model exponential growth and decay
177. Use Newton’s Law of Cooling
178. Use logistic-growth models
179. Choose an appropriate model for data
180. Key Concepts & Glossary
181. Introduction to Systems of Linear Equations: Two Variables
182. Solving Systems of Equations by Graphing
183. Solving Systems of Equations by Substitution
184. Solving Systems of Equations in Two Variables by the Addition Method
185. Identifying and Expressing Solutions to Systems of Equations
186. Using Systems of Equations to Investigate Profits
187. Key Concepts & Glossary
188. Introduction to Systems of Linear Equations: Three Variables
189. Solving Systems of Three Equations in Three Variables
190. Inconsistent and Dependent Systems in Three Variables
191. Key Concepts & Glossary
192. Introduction to Systems of Nonlinear Equations and Inequalities: Two Variables
193. Solving a System of Nonlinear Equations Using Substitution
194. Solving a System of Nonlinear Equations Using Elimination
195. Graphing Nonlinear Inequalities and Systems of Nonlinear Inequalities
196. Key Concepts & Glossary
197. Introduction: Matrices and Matrix Operations
198. Finding the Sum and Difference of Two Matrices
199. Finding Scalar Multiples of a Matrix
200. Finding the Product of Two Matrices
201. Key Concepts & Glossary
202. Introduction to Solving Systems with Gaussian Elimination
203. The Augmented Matrix of a System of Equations
204. Performing Row Operations on a Matrix
205. Solving a System of Linear Equations Using Matrices
206. Key Concepts & Glossary
207. Introduction to Solving Systems with Inverses
208. Finding the Inverse of a Matrix
209. Solving a System of Linear Equations Using the Inverse of a Matrix
210. Key Concepts & Glossary
211. Introduction to Solving Systems with Cramer's Rule
212. Using Cramer’s Rule to Solve a System of Two Equations in Two Variables
213. Using Cramer’s Rule to Solve a System of Three Equations in Three Variables
214. Understanding Properties of Determinants
215. Key Concepts & Glossary
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