Here at Hawkes Learning, we’re excited about developing our new course offering, College Algebra Plus Integrated Review! Target specific remediation needs for just-in-time supplementation of foundational concepts in college algebra with these materials.
This new integrated course enhances curriculum-level math with applicable review skills to shorten the prerequisite sequence without compromising competency. If you teach a college algebra corequisite course, these materials are for you!
Below is the table of contents.
College Algebra Plus Integrated Review
Chapter 1.R: Integrated Review | |
1.R.1 | Exponents, Prime Numbers, and LCM |
1.R.2 | Reducing Fractions |
1.R.3 | Decimals and Percents |
1.R.4 | Simplifying Radicals |
Chapter 1: Number Systems and Fundamental Concepts of Algebra | |
1.1 | The Real Number System |
1.2 | The Arithmetic of Algebraic Expressions |
1.3a | Properties of Exponents |
1.3b | Scientific Notation and Geometric Problems Using Exponents |
1.4a | Properties of Radicals |
1.4b | Rational Number Exponents |
1.5 | Polynomials and Factoring |
1.6 | The Complex Number System |
Chapter 1 Review | |
Chapter 2.R: Integrated Review | |
2.R.1 | Multiplication and Division with Fractions |
2.R.2 | Addition and Subtraction with Fractions |
2.R.3 | Applications: Number Problems and Consecutive Integers |
2.R.4 | Solving Equations: Ratios and Proportions |
Chapter 2: Equations and Inequalities of One Variable | |
2.1a | Linear Equations in One Variable |
2.1b | Applications of Linear Equations in One Variable |
2.2 | Linear Inequalities in One Variable |
2.3 | Quadratic Equations in One Variable |
2.4 | Higher Degree Polynomial Equations |
2.5 | Rational Expressions and Equations |
2.6 | Radical Equations |
Chapter 2 Review | |
Chapter 3: Linear Equations and Inequalities of Two Variables | |
3.1 | The Cartesian Coordinate System |
3.2 | Linear Equations in Two Variables |
3.3 | Forms of Linear Equations |
3.4 | Parallel and Perpendicular Lines |
3.5 | Linear Inequalities in Two Variables |
3.6 | Introduction to Circles |
Chapter 3 Review | |
Chapter 4.R: Integrated Review | |
4.R.1 | Order of Operations |
4.R.2 | Variables and Algebraic Expressions |
4.R.3 | Simplifying Expressions |
4.R.4 | Translating Phrases into Algebraic Expressions |
Chapter 4: Relations, Functions, and Their Graphs | |
4.1 | Relations and Functions |
4.2a | Linear and Quadratic Functions |
4.2b | Max/Min Applications of Quadratic Functions |
4.3a | Other Common Functions |
4.3b | Direct and Inverse Variation |
4.4 | Transformations of Functions |
4.5 | Combining Functions |
4.6 | Inverses of Functions |
Chapter 4 Review | |
Chapter 5.R: Integrated Review | |
5.R.1 | Greatest Common Factor of Two or More Terms |
5.R.2 | Factoring Trinomials by Grouping |
5.R.3 | Additional Factoring Practice |
Chapter 5: Polynomial Functions | |
5.1 | Introduction to Polynomial Equations and Graphs |
5.2 | Polynomial Division and the Division Algorithm |
5.3 | Locating Real Zeros of Polynomials |
5.4 | The Fundamental Theorem of Algebra |
Chapter 5 Review | |
Chapter 6.R: Integrated Review | |
6.R.1 | Defining Rational Expressions |
6.R.2 | Special Products |
6.R.3 | Special Factorizations – Squares |
Chapter 6: Rational Functions and Conic Sections | |
6.1a | Rational Functions |
6.1b | Rational Inequalities |
6.2 | The Ellipse |
6.3 | The Parabola |
6.4 | The Hyperbola |
Chapter 6 Review | |
Chapter 7.R: Integrated Review | |
7.R.1 | Simplifying Integer Exponents I |
7.R.2 | Simplifying Integer Exponents II |
7.R.3 | Rational Exponents |
Chapter 7: Exponential and Logarithmic Functions | |
7.1 | Exponential Functions and their Graphs |
7.2 | Applications of Exponential Functions |
7.3 | Logarithmic Functions and their Graphs |
7.4 | Properties and Applications of Logarithms |
7.5 | Exponential and Logarithmic Equations |
Chapter 7 Review | |
Chapter 8.R: Integrated Review | |
8.R.1 | Solving Systems of Linear Equations by Graphing |
8.R.2 | Systems of Linear Inequalities |
Chapter 8: Systems of Equations | |
8.1 | Solving Systems by Substitution and Elimination |
8.2 | Matrix Notation and Gaussian Elimination |
8.3 | Determinants and Cramer’s Rule |
8.4 | The Algebra of Matrices |
8.5 | Inverses of Matrices |
8.6 | Linear Programming |
8.7 | Nonlinear Systems of Equations |
Chapter 8 Review | |
Chapter 9: An Introduction to Sequences, Series, Combinatorics, and Probability | |
9.1 | Sequences and Series |
9.2 | Arithmetic Sequences and Series |
9.3 | Geometric Sequences and Series |
9.4 | Mathematical Induction |
9.5a | An Introduction to Combinatorics – Counting, Permutations, and Combinations |
9.5b | An Introduction to Combinatorics – The Binomial and Multinomial Theorems |
9.6 | An Introduction to Probability |
Chapter 9 Review | |
Chapter A: Appendix | |
A.1 | Introduction to Polynomial Equations and Graphs (excluding complex numbers) |
A.2 | Polynomial Division and the Division Algorithm (excluding complex numbers) |
A.3 | Locating Real Zeros of Polynomials (excluding complex numbers) |
A.4 | The Fundamental Theorem of Algebra (excluding complex numbers) |