# Final Exam Preparation

This chapter contains several sections that will help with preparation for the final exam:

# Final Exam: Composition

The final exam will be composed of thirty questions covering chapters 0 to 9. Twenty-four questions are algebra questions, and six questions are word problems.

## Part One: Topics Covered in the First Midterm

• Questions 1–8 will be drawn from:
• Chapter 1: Algebra Review
• 1.1 Integers
• 1.2 Fractions
• 1.3 Order of Operations
• 1.4 Properties of Algebra
• 1.5 Terms and Definitions
• Chapter 2: Linear Equations
• 2.1 Elementary Linear Equations
• 2.2 Solving Linear Equations
• 2.3 Intermediate Linear Equations
• 2.4 Fractional Linear Equations
• 2.5 Absolute Value Equations
• 2.6 Working with Formulae
• Chapter 3: Graphing
• 3.1 Points and Coordinates
• 3.2 Midpoint and Distance Between Points
• 3.3 Slopes and Their Graphs
• 3.4 Graphing Linear Equations
• 3.5 Constructing Linear Equations
• 3.6 Perpendicular and Parallel Lines
• Chapter 4: Inequalities
• 4.1 Solve and Graph Linear Inequalities
• 4.2 Compound Inequalities
• 4.3 Linear Absolute Value Inequalities
• 4.4 2D Inequality and Absolute Value Graphs
• Questions 9 and 10 will be drawn from:
• 1.6 Unit Conversion Word Problems
• 2.7 Variation Word Problems
• 3.7 Numeric Word Problems
• 4.5 Geometric Word Problems

## Part Two: Topics Covered in the Second Midterm

• Questions 11–18 will be drawn from:
• Chapter 5: Systems of Equations
• 5.1 Graphed Solutions
• 5.2 Substitution Solutions
• 5.3 Addition and Subtraction Solutions
• 5.4 Solving for Three Variables
• Chapter 6: Polynomials
• 6.1 Working with Exponents
• 6.2 Negative Exponents
• 6.3 Scientific Notation
• 6.4 Basic Operations Using Polynomials
• 6.5 Multiplication of Polynomials
• 6.6 Special Products
• 6.7 Dividing Polynomials
• Chapter 7: Factoring
• 7.1 Greatest Common Factor
• 7.2 Factoring by Grouping
• 7.3 Factoring Trinomials where a = 1
• 7.4 Factoring Trinomials where a ≠ 1
• 7.5 Factoring Special Products
• 7.6 Factoring Quadratics of Increasing Difficulty
• 7.7 Choosing the Correct Factoring Strategy
• 7.8 Solving Quadratic Equations by Factoring
• Questions 19 and 20 will be drawn from:
• 5.5 Monetary Word Problems
• 6.8 Mixture and Solution Word Problems
• 7.9 Age Word Problems

## Part Three: Topics Covered in the Third Midterm

• Questions 21–28 will be drawn from:
• Chapter 8: Rational Expressions
• 8.1 Reducing Rational Expressions
• 8.2 Multiplication and Division of Rational Expressions
• 8.3 Least Common Denominators
• 8.4 Addition and Subtraction of Rational Expressions
• 8.5 Reducing Complex Fractions
• 8.6 Solving Complex Fractions
• 8.7 Solving Rational Equations
• 9.1 Reducing Square Roots
• 9.2 Reducing Higher Power Roots
• 9.4 Multiplication and Division of Radicals
• 9.5 Rationalizing Denominators
• 9.6 Radicals and Rational Exponents
• 9.8 Radicals of Mixed Index
• 9.9 Complex Numbers
• 10.2 Solving Exponential Equations
• 10.3 Completing the Square
• 10.5 Solving Quadratic Equations Using Substitution
• 10.6 Graphing Quadratic Equations—Vertex and Intercept Method
• 10.8 Construct a Quadratic Equation from its Roots
• Questions 29 and 30 will be drawn from:
• 8.8 Rate Word Problems: Speed, Distance and Time
• 9.10 Rate Word Problems: Work and Time
• 10.7 Quadratic Word Problems: Age and Numbers

Students will be allowed to use MATQ 1099 Data Booklets & Glossaries for both Midterms and Final Exam. 