To do well on this exam, you should do the following: (1) Study your notes from class. Spend time learning the techniques used in solving different types of problems. (2) Rework homework problems, especially ones that you worked incorrectly for homework. (3) Rework problems from old tests. (4) Work on the problems on the accompanying review sheets. (5) Work on Chapter Reviews and Chapter Assessments.. (6) Work on problems from Cumulative Reviews and Standardized Tests at end of each chapter. (7) Work on problems from your Work Book. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Format of the Exam: I. Multiple Choice (1 – 10) II. Short Answer (11 – 20) III. Free Response (21 – 30) IV. Multiple Choice (31 – 50) V. Free Response (51 – 60) ------------------------------------------------------------------------------ Topics Covered I. Chapter 2 Real Numbers, Equations, and Inequalities (2 weeks) A. Graphs on the Number Line [1] B. Structure of Real Number System (Types of numbers) [2] C. Properties of Real Numbers & Order of Operations [4] D. Solving Equations in one variable [4] E. Solving Inequalities in one variable [2] F. Solving Absolute Value Equations and Inequalities [3] II. Chapter 3 Functions and Graphs (3 ½ weeks) A. Symmetry B. Functions, Relations, and Graphs (Domain, Range, Functional Notation) [2] C. Linear Functions (slope, Equations of lines) [6] D. Absolute Value and Symmetry [1] E. Inverse Functions [1] F. Operations with Functions – Addition, Subtraction, Multiplication, Division, and Composition [2] G. Direct Variation [1] III. Chapter 4 Systems of Linear Equations (3 ½ weeks) A. Solving Systems of Linear Equations – Graph, Add/Subtract, Substitution [2] B. Solving Systems in 3 variables [1] C. Augmented Matrices D. Multiplying Matrices [1] E. Identity and Inverse Matrices [2] F. Row-reducing Matrices G. Solving Systems using Inverse Matrices [1] H. Determinants and Cramer's Rule [2] IV. Chapter 5 Polynomials and Factoring (3 weeks) A. Properties of Exponents [1] B. Adding, Subtracting, and Multiplying Polynomials [2] C. Factoring Polynomials [4] D. Solving Equations by Factoring [2] V. Chapter 6 Quadratic Functions and Equations (3 weeks) A. Completing the Square, Simplifying Radicals [2] B. Solving Quadratic Equations by Completing the Square [1] C. Translations of Quadratic Functions [1] D. Graphing Quadratic Functions, vertex, axis of symmetry [2] E. Using the Quadratic Formula to Solve Equations [3] F. Using the Discriminant to determine the nature of roots of a quadratic equation [3] G. Solving Equations in "Quadratic Form" [1]
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