Module R: Review Topics
To enroll in College Algebra (MAT150/151) you must understand the following topics.
Need to review a topic? Watch a video or read a summary of the topic below!
- Use function notation. (Questions scattered throughout)
- Solve quadratic equations by factoring, completing the square, and the quadratic formula. (Factoring: Questions 1 & 3; Comp. Square: # 2; Quad. Form: 4, 8, 9, 7 (a+bi))
- Solve equations quadratic in form. Solve Equations in Quadratic Form by Factoring Solve Quadratic in Form Equations (Questions 9, 10)
- Solve rational and radical equations. Solve Rational Equations Solve Rational Equation Solve a Rational Equation - Alternative Method Solve Rational Equation – Example (Questions 11-13)
- Perform operations on complex numbers. Complex Number Operations (Questions 14 - 16)
- Perform operations on radical and rational expressions. Adding and Subtracting Radicals Multiplying Radicals Dividing Radicals Multiplying and Dividing Rational Expressions Adding and Subtracting Rational Expressions (Rationals: Questions 17 - 20; Radicals: 21 - 24)
- Simplify rational and radical expressions. Simplify Rational Expressions Simplify Radical Expressions Radicals Intro (Questions 25 - 26)
- Simplify expressions involving rational exponents. Rational Exponents Rational Exponents (Question 27)
- Graph quadratic, exponential, and logarithmic functions. Graph Quadratic Functions in Standard (Vertex) Form Graph Quadratic Functions in General Form Graph Exponential Functions Graph an Exponential Function and Logarithmic Function
(Questions 28 - 30)
- Identify the domain of quadratic, rational, radical, exponential, and logarithmic functions. Find domain and range from a graph Find Domain and Range from a Graph Find Domain and Range of a Rational and Radical Function Domain of Rational Function Find Domain of Logarithmic Function (Question 31 - 34)
- Rewrite logarithmic expressions using the properties of logarithms.
- Evaluate formulas involving exponential or logarithmic expressions. Continuous and Compound Interest Formula (Questions 38-40)
- Model and solve real-world problems using quadratic, rational, radical, exponential, and logarithmic equations.
Introduction to Regression Analysis Quadratic Regression on TI84 - Stopping Distance Quadratic Function - Time and Vertical Height Find Size of Cardboard Needed to Make a Box with Given Volume Rational Equation - Painting Together Rational Equation - Plane and Car Traveling the Same Time Rational Equation - Fill a Pool with Drain Open Rational Equation - Two Bikers Riding Different Distances Radical Equation - Vehicle Speed from Skid Mark Length The Pythagorean Theorem Find the Length of the Leg of a Right Triangle Find the Distance Between Two Points(Questions 41-45)
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