# Syllabus for College Prep Algebra

## MAT 0024 College Prep Algebra Lecture (4 credits)

Course Competencies

**Competency 1: The student will demonstrate knowledge of
real numbers by:**

a. Performing operations of addition, subtraction, multiplication, and division
on real numbers.

b. Applying the order of operations agreement on real numbers.

c. Recognizing and applying the commutative, associative, identity, inverse, and
distributive

properties of real numbers.

d. Evaluating and interpreting absolute value.

**Competency 2: The student will demonstrate knowledge of algebraic expressions
by:**

a. Evaluating and simplifying algebraic expressions.

**Competency 3: The student will demonstrate knowledge of polynomials by:
**a. Using properties of exponents to simplify exponential expressions.

b. Performing the operations of addition, subtraction, and multiplication on polynomials.

c. Dividing a polynomial by a monomial.

**Competency 4: The student will demonstrate knowledge of scientific notation by:**

a. Converting decimal notation to scientific notation and scientific notation to decimal notation.

b. Multiplying and dividing numbers that is in scientific notation.

**Competency 5: The student will demonstrate knowledge of linear equations by:**

a. Solving linear equations in one variable.

b. Solving linear equations with one variable that have no solution or an infinite number of solutions.

c. Solving applications involving linear equations including proportions.

d. Solving literal equations.

**Competency 6: The student will demonstrate knowledge of linear inequalities by:**

a. Solving linear inequalities in one variable and graphing the solution set.

b. Using interval notation to express intervals of real numbers.

**Competency 7: The student will demonstrate knowledge of graphing by:**

a. Plotting ordered pairs in a Cartesian coordinate plane.

b. Identifying points and naming the quadrant or axis on which they lie.

c. Graphing linear equations of two variables using a table of values.

d. Graphing linear equations of two variables using the x-intercept and y-intercept.

e. Determining intercepts from the graph of a line and graphing horizontal and vertical lines.

**Competency 8: The student will demonstrate knowledge of factoring by:**

a. Factoring out the greatest common factor and factoring by grouping.

b. Factoring quadratic trinomials, including perfect square trinomials, and factoring special products.

**Competency 9: The student will demonstrate knowledge of rational expressions by:**

a. Simplifying rational expressions.

**Competency 10: The student will demonstrate knowledge of radical expressions by:**

a. Simplifying square roots of monomials.

b. Adding, subtracting and multiplying square roots of monomials.

**Competency 11: The student will demonstrate knowledge of quadratic equations by:**

a. Solving quadratic equations by factoring.

## MAT 0024 College Prep Algebra Lecture (4 credits)

Supplementary Textbook Exercises from the 2^{nd} EDITION

**Chapter 1 Foundations of Algebra **

Section 1.1: page 9, #21-63 odds

Section 1.2: page 19, #19-49 odds

Section 1.3: page 35, #9-79 odds

Section 1.4: page 52, #11-73 odds

Section 1.5: page 65, #13-85 odds

Section 1.6: page 73, #7-39 odds, 45-47 odds

Section 1.7: page 85, #7-69 odds

**Chapter 2 Linear Equations and Inequalities **

Section 2.1: page 112, #5-27 odds

Section 2.2: page 128, #7-59 odds

Section 2.3: page 141, #7-59 odds

Section 2.4: page 150, #5-53 odds

Section 2.5: page 159, #7-43 odds

Section 2.6: page 173, #5-43 odds, 49-57 odds

**Chapter 3 Ratios, Proportions and Percents**

Section 3.1: page 197, #7, 11, 21-37 odds

Section 3.2: page 214, #7-47 odds

Section 3.3: page 232, #5-35 odds

**Chapter 4 Graphing Linear Equations and Inequalities**

Section 4.1: page 274, #5-27 odds

Section 4.2: page 284, #7-55 odds

Section 4.3: page 295, #7-45 odds

**Chapter 5 Polynomials**

Section 5.1: page 383, #7-27 odds, 49-55 odds, 65-71 odds

Section 5.2: page 395, #7-53 odds, 63-89 odds

Section 5.3: page 406, #5-23 odds, 35-43 odds

Section 5.4: page 418, #7-25 odds, 55-81 odds

Section 5.5: page 431, #7-29 odds, 37-51 odds, 57-61 odds, 71-95 odds

Section 5.6: page 446, #7-31 odds, 47-69 odds, 107-123 odds

**Chapter 6 Factoring**

Section 6.1: page 468, #7-89 odds

Section 6.2: page 475, #5-41 odds

Section 6.3: page 484, #5-39 odds

Section 6.4: page 493, #25-39 odds

Section 6.5: page 499, #7-17 odds, 21-45 odds

Section 6.6: page 511, #5-35 odds

**Chapter 7 Rational Expressions**

Section 7.1: page 546, #7-47 odds

Section 7.2: page 558, #7-31 odds

Section 7.3: page 568, #5-39 odds

Section 7.4: page 577, #7-21 odds, 27-39 odds

**Chapter 9 Roots and Radicals**

Section 9.1: page 705, #7-27 odds, 61-71 odds

Section 9.2: page 714, #5-23 odds, 31-43 odds

Section 9.4: page 732, #5-17 odds, 21-37 odds