# MATH 100: Intermediate Algebra

Course Details
Credit Hours: 3
Prerequisites: None
Description:  Fundamentals of algebra. Graphs of linear equations, polynomials and factoring, first and second-degree equations and inequalities, radicals and exponents, and systems of equations. Word problems emphasized throughout the course.

Algebra: Form and Function (2nd ed.) by McCallum, Connally, Hughes-Hallett, et al.

Instructions for students to obtain the e-book and to use WileyPlus: Use your Loyola email address to create a WileyPlus account. Your professor will include details on WileyPlus in the syllabus.

Chapter 1: Functions and Algebraic Structure
1.1  What Is A Function?
1.2  Functions and Expressions
1.3  Functions and Equations
1.4  Functions and Change
1.5  Functions, Modeling, and Proportionality

Chapter 2: Linear Functions
2.1  Introduction to Linear Functions
2.2  Linear Expressions
2.3  Linear Equations
2.4  Equations for Lines in The Plane
2.5  Modeling with Linear Functions
2.6  Systems of Linear Equations

3.3  Converting to Factored and Vertex Form

Chapter 4: Power Functions
4.1  Power Functions: Positive Exponents
4.2  Power Functions: Negative Exponents
4.3  Power Functions and Expressions
4.4  Power Functions and Equations
4.5  Modeling with Power Functions

Chapter 5: More on Functions
5.1  Domain and Range
5.2  Composing and Decomposing Functions
5.3  Shifting and Scaling
5.4  Inverse Functions

Appendix A: Expressions

A.1 Reordering and Regrouping
1-2, 7, 8, 10, 12, 13, 15, 18, 22, 24, 26, 30, 32

A.2 The Distributive Law
3, 4, 7, 14, 18, 19, 24, 30, 38, 39, 41, 45, 51, 57, 59

Appendix B: Equations

B.1 Using the Operations of Arithmetic to Solve Equations

5, 20, 26, 36, 41, 48, 54

Appendix C: Inequalities

C.1 Solving Inequalities

5, 9, 18, 31, 37, 40, 42

Chapter 1: Functions and Algebraic Structure

1.1 What Is A Function?

1, 3, 9, 11, 12, 18, 21, 25, 26, 28, 30, 39, 44, 47

1.2 Functions and Expressions

1-2, 6-7, 17, 18, 28, 29, 30, 38, 42, 45, 47, 51

1.3  Functions and Equations

15, 16, 19, 21, 22, 25, 27, 28, 30, 41, 48, 52, 58, 64

1.4  Functions and Change

1-2, 3-4, 5, 6, 9, 15, 18, 22, 24, 26, 31

1.5  Functions, Modeling, and Proportionality

1, 8, 10, 12, 17, 18, 20, 23, 25, 27, 36, 41, 49

Chapter 2: Linear Functions

2.1  Introduction to Linear Functions

15, 18, 27, 30, 37, 40, 42, 47, 50

2.2  Linear Expressions

5, 15, 18, 26, 28, 38, 46, 49, 51, 54, 59, 63, 84

2.3  Linear Equations

1, 8, 10, 11, 30, 33, 47, 51, 74

2.4  Equations for Lines in The Plane

2, 13, 18, 24, 39, 45, 53, 56, 61, 62, 70

2.5  Modeling with Linear Functions

2, 5, 8, 15, 20, 23, 26

2.6  Systems of Linear Equations

4, 9, 18, 21, 23, 32, 41, 46, 59, 61

3, 9, 18, 23, 28, 32, 35, 37, 44, 46, 50, 56

4, 6, 9, 12, 13, 15, 16

2, 6, 7, 12, 13, 23, 25, 27

1, 6, 9, 13, 15, 17, 18, 20, 21, 22, 25, 27, 30, 38, 41, 45, 58

3.3  Converting to Factored and Vertex Form

4, 8, 13, 17, 19, 26, 27, 34, 36, 37, 39, 42, 43, 45

3, 11, 13, 14, 18, 23, 25, 29, 35, 36, 38, 44, 46, 52, 57, 58, 60, 62, 69, 71, 75

8, 14, 16, 20, 21, 26, 31, 34, 38, 40, 46

Appendix G: Exponents

G.1 Exponents with Integer Powers

2, 5, 16, 17, 23, 26, 30, 32, 37, 42, 50, 58, 60, 61, 68, 75, 80, 88, 105

G.2 Exponents with Fractional Powers

3, 6, 8, 13, 14, 17, 18, 23, 24, 34, 37

Chapter 4: Power Functions

4.1  Power Functions: Positive Exponents

1, 6, 12, 15, 17, 23, 26, 28

4.2  Power Functions: Negative Exponents

1, 7, 11, 13, 14, 16, 20, 24, 26, 27

4.3  Power Functions and Expressions

3, 5, 8, 10, 13, 19, 25, 26, 31, 36, 37, 42, 48, 50, 54, 56, 61, 64

4.4  Power Functions and Equations

3, 9, 11, 12, 17, 20, 22, 26, 28, 34, 41, 45, 49, 55, 62

4.5  Modeling with Power Functions

2, 6, 10, 14, 15, 16, 19, 22, 25, 33, 35

Chapter 5: More on Functions

5.1  Domain and Range

14, 15, 17, 24, 26, 29, 38, 41, 44, 59, 61, 62, 63, 65

5.2  Composing and Decomposing Functions

1, 2, 5, 9, 10, 12, 13, 16, 17, 20, 21, 26, 34, 38, 41

5.3  Shifting and Scaling

1, 3, 6, 9, 12, 14, 15, 17, 18, 21, 25, 27, 36, 42, 45

5.4  Inverse Functions

1, 2, 3, 4, 6, 8, 10, 13, 15, 18, 23, 24, 25, 27, 30

See Course Page for additional resources.