Math 1010-002
Final Review Outline
Summer 2011
Final Review Outline
Note: For the midterm you will be taking on Monday, June 6th, I may ask you questions on any
of the following topics. We covered more topics that what are presented here. The topics that
are not mentioned in this outline will not be asked about on the midterm.
Fundamentals (Ch. 1)
- Distributive Property (1.3)
- Simplifying Algebraic Expressions, Adding, Subtract, Multiplying (1.4)
- Evaluating Algebraic Expressions (1.4)
Linear Equations & Inequalities (Ch. 2)
- Solving Linear Equations (2.1)
- Solving Linear Inequalities (2.4)
- Solving Double Inequalities (2.4)
- Solving Absolute Value Equations (2.5)
Graphs and Functions (Ch. 3)
- Distance Formula (3.1)
- Midpoint Formula (3.1)
- Calculating the Slope of Two Points (3.3)
- Graphing a Line using Slope Intercept Form (3.3)
- Write the equation of a line given the following information:
+ Slope and y-intercept: Slope Intercept Form (3.3)
+ Slope and point: Point Slope Form (3.4)
+ Two Points: Find Slope then use Point Slope Form (3.4)
- Parallel and Perpendicular Lines (3.4)
- Graphing Linear Inequalities (3.5)
- Function Notation (3.6)
- Evaluating Functions (3.6)
Math 1010-002
Final Review Outline
Summer 2011
Systems of Equations and Inequalities (Ch. 4)
- Substitution Method (4.1)
- Elimination Method (4.2)
- Identify if there a Unique Solution, No Solution, or Infinite Solutions (4.2)
- Write a Linear System as an Augmented Matrix (4.4)
- Identify when a Matrix is in Row-Echelon Form (4.4)
- Use Elementary Row Operations to write a Matrix in Row-Echelon Form (4.4)
- Find the Determinant of a 2x2 or a 3x3 Matrix (4.5)
Polynomials and Factoring (Ch. 5)
- Simplifying Algebraic Expressions using the Rules of Exponents (5.1)
- Adding and Subtracting Polynomials (5.2)
- Multiplying Polynomials (5.3)
- Factoring Polynomials (5.4)
- Factoring Quadratic Polynomials (5.6)
- Solving Quadratic Equations by Factoring (5.6)
Rational Expressions and Functions (Ch. 6)
- Simplifying Rational Expressions (6.1)
- Multiplying/Dividing Rational Expressions (6.2)
- Adding/Subtracting Rational Expressions (6.3)
- Simplifying Complex Fractions (6.4)
- Polynomial Long Division (6.5)
Radicals and Rational Exponents (Ch. 7)
- Evaluating Expressions with Rational Exponents (7.1)
- Evaluating Radical Expressions (7.1)
- Simplifying Radical Expressions (7.2)
- Adding/Subtracting Radical Expressions (7.3)
- Multiplying/Dividing Rational Expressions (7.4)
- Rationalizing Denominator (7.4)
- Solving Radical Equations (7.5)
- Adding/Subtracting Complex Numbers (7.6)
- Multiplying Dividing Complex Numbers (7.6)
- Powers of i (7.6)
Math 1010-002
Final Review Outline
Summer 2011
Quadratic Equations and Functions (Ch. 8)
- Completing the Square (8.2)
- The Quadratic Formula (8.3)
- Solving Quadratic Equations using the Quadratic Formula (8.3)
- Using the Discriminant to Determine Number of Solutions (8.3)
- Graphing Quadratic Functions (8.4)
Exponential and Logarithmic Functions (Ch. 9)
- Finding Inverse Functions (9.2)
- Verifying Inverse Functions (9.2)
- Evaluating Logarithmic Functions (9.3)
- Use Properties of Logarithms to Evaluate Logarithmic Functions (9.4)
- Expand or Condense Logarithmic Expressions using Properties of Logarithms (9.4)
- Solving Exponential Equations (9.5)