LECTURE OUTLINE
UNIT I
L1
Course Introduction; Real Numbers and Algebra Review (R.1, R.2)
Skills: Know structure of the course. Learn sets of numbers and order of operations; compute
absolute value. Know laws of exponents, square roots, and scientific and decimal notation.
pp. 15-16
(9, 14, 26, 50, 57, 68, 69, 71, 82)
pp. 26-29
(15, 18, 27, 32, 38, 56, 60, 67, 72, 73-77, 80, 81, 84, 88, 93, 96, 108, 109,
113, 118, 122, 123, 129, 131, 133, 135-138, 150, 157, 158)
L2
Polynomials; Factoring Polynomials (R.4, R.5)
Skills:
Identify a polynomial. Perform the operations of addition, subtraction, and
multiplication of polynomials. Learn special product formulas. Factor polynomials.
pp. 42-43 (10, 11, 24, 25, 36, 46, 58, 67, 76, 88, 93)
pp. 50-52 (14, 25, 30, 33, 38, 46, 51, 54, 67, 78, 82, 91, 96, 103, 108, 109, 116, 122)
L3
Polynomial Division; Synthetic Division; Rational Expressions (R.6, R.7)
Skills: Divide polynomials using long division. Perform synthetic division. Add, subtract,
multiply, and divide rational expressions. Reduce a rational expression to lowest terms.
Simplify mixed quotients (complex fractions).
pp. 57-58
(6-14 even, 21-25 odd, 35, 38, 42)
pp. 68-70
(6, 16, 21, 24, 34, 43, 49, 64, 65, 70, 74, 75, 79, 88)
L4
n
th Roots; Rational Exponents (R.8)
Skills: Define the principle
n
th roots. Work with
n
th roots. Define rational exponents.
Simplify expressions with radicals or rational exponents.
pp. 75-77 (5-15 odd, 20, 27, 29-33 odd, 40, 43, 46, 50, 54, 63, 65-71 even, 76, 79, 88, 91, 97)
L5
Linear Equations and Applications (1.1, 1.7)
Skills: Solve linear equations and ones that lead to linear equations. Solve for the indicated
variable. Set up and solve word problems with one variable.
pp. 93-96
(11, 26, 34, 36, 46, 50, 51, 55, 62, 78, 88, 89, 91, 96, 98)
pp. 147-150 (19, 21, 26, 29, 35, 38, 41, 45)
L6
Quadratic Equations and Applications (1.2)
Skills:
Solve quadratic equations by factoring, using the square root method, completing the
square or using the quadratic formula. Use the discriminant to determine the nature of
solutions of a quadratic equation. Set up and solve word problems involving quadratics.
pp. 106-109 (14, 17, 24, 25, 28, 29, 31, 42, 45, 52, 62, 63, 70, 78, 84, 85, 88, 91, 94, 98,
99, 106)