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Objectives and Suggested Homework for Math 119 (College Algebra) Summer 2007
Unit 1—Rules of Algebra (text sections P.1 – P.6)
P.1 Objectives:
Sets of Real Numbers
Order and Interval/Inequality Notation
Order of Operations
Algebraic Expressions
Basic Rules and Properties of Algebra (pages 7-8 of text)
(skip properties of absolute values and distance between two points)
P.1 Homework (p. 9):
vocabulary 1-9;
problems 1-5 odd, 11-47 odd,
73-95 odd, 97-102, 107, 110,
113
P.2 Objectives:
Properties of Exponents
Simplify Expressions—leave answers with only positive exponents
Simplify Square Roots by removing perfect square factors from radicand (only real
numbers in radicand—no variables)
Convert between Radical and Rational Exponent form
Evaluate expressions with rational exponents without using a calculator
(skip scientific notation and rationalizing denominator/numerator)
P.2 Homework (p. 21):
vocabulary 1, 3, 4, 5, 9;
problems 1-12, 17-35 odd,
51-56, 63a, 64b, 87-98,
110a-d
P.3 Objectives:
Define polynomial
Add/Subtract (collect like terms)
Multiply (mostly two binomials, but a few binomials with trinomials)
Special Products (skip cube of a binomial)
P.3 Homework (p. 29):
vocabulary 1-8;
problems 1-6, 7-19 odd,
23-67 odd, 73-83 odd, 89, 97
P.4 Objectives:
Common Factors
Factor Special Forms (skip sum/difference of cubes)
Factor Trinomials with Binomial Factors
Factor by Grouping
P.4 Homework (p. 38):
vocabulary 1, 3, 4, 5ac;
problems 5-12, 19-37 odd,
47-71 odd, 79-101 odd
P.5 Objectives:
Domain
Simplify (factor and cancel)
Multiply and Divide (skip Add and Subtract)
(skip complex fractions)
P.5 Homework (p. 47):
vocabulary 1, 2, 4, 5, 6;
problems 1-25 odd, 31, 32,
35-41 odd, 61-67 odd, 68
P.6 Objectives:
Recognize and Avoid Common Errors
Rewrite a fraction as a sum of terms with no denominator —see example 6b in box
at bottom page 55 of text
Factor out common factors with Fractional Powers
Simplify expressions that result from quotient rule in calculus
P.6 Homework (p. 56):
vocabulary 1, 2;
problems 1-22, 33-35, 39, 40,
43-48 (rewrite with no
denominator), 49-51, 67-69,
71
Unit 1 Extra Practice/Review:
p. 70: 1, 2, 5, 6, 13-29, 35-37, 47-62, 67-70, 73-79, 81, 82, 89-91, 93-95, 97-102
p. 73: 1, 3, 4, 6, 7b, 8, 9, 13, 15-17
Unit 2—Equations, Inequalities and Functions (text sections 1.2-1.4, 1.6, 1.7, 2.2 and 2.6)
1.2 Objectives:
Identity vs Conditional Equations
Solve Linear equations by producing equivalent equations
Solve equations that contain fractions, but result in solving linear equation
—multiply both sides by LCD method
Find Intercepts Algebraically
1.2 Homework (p. 94):
vocabulary 1-5;
problems 1-59 odd,
71-77 odd, 81-87 odd, 101,
107, 108
1.3 Objectives:
Translating key words and phrases
Application problems involving percentages
Application problems using Common Formulas on bottom of page 103
Solve a formula for a specified variable
(skip similar triangle problems, mixture problems)
1.3 Homework (p. 105):
vocabulary 1-8;
problems 15, 18, 21, 22, 23,
25, 35-41, 47, 48, 51, 52,
77-83, 87, 101
1.4 Objectives:
Solve by Factoring
Solve by Extracting Square Roots
Discriminant
Solve by Quadratic Formula (simplify answers)
(skip completing the square)
1.4 Homework (p. 120):
vocabulary 1, 3;
problems 1-29 odd (skip 19),
59-87 odd, 99-102, 107,
135-137, 141-143, 147-154,
156-158
1.6 Objectives:
Polynomial Equations (only those that factor)
Equations with Fractions (multiply both sides by LCD method)
(skip equations of quadratic type, radical and absolute value equations)
1.6 Homework (p. 140):
vocabulary 1;
problems 1, 2, 7-9, 19, 57-64,
79, 80 120-122
1.7 Objectives:
Interval Notation vs Inequality Notation (again)
Properties of Linear Inequalities
Solve Linear Inequalities (single and double)
(skip absolute value inequalities)
1.7 Homework (p. 150):
vocabulary 1-6;
problems 1-16, 19-42,
119-122
2.2 Objectives:
Define Function
Function Notation
Domain
Evaluate Functions (including piecewise)
Difference Quotient (with mostly linear functions, but a few quadratics)
2.2 Homework (p. 197):
vocabulary 1-6;
problems 1-12, 13-53 odd
(skip 29), 57-61, 65-69, 79,
80, 81 using f ( x)  5 x  3
instead of the given function,
82 using f ( x)   x  1
2.6 Objectives:
Arithmetic Combinations of Functions
Composition
Decomposition
2.6 Homework (p. 238):
vocabulary 1-4;
problems 5-8, 11cd, 13-23
odd, 31-53 odd, 69, 73, 74
Unit 2 Extra Practice/Review:
p. 165: 31-49, 53, 54, 61, 62, 65-74, 95-98, 107, 108, 117-126
p. 169: 7, 8, 9,13
p. 253: 33-42, 44, 45, 47, 48, 53, 107-112;
p. 257: 4, 5, 17
Unit 3—Graphing (text sections P.7, 1.1, 2.1, 2.3-2.5, 3.1 and 3.2)
P.7 Objectives:
Quadrants
Point Plotting
(skip distance and midpoint formulas and scatter plots)
P.7 Homework (p. 64):
vocabulary 1, 2;
problems 1-20, 51-55
1.1 Objectives:
Make a Table of Values to sketch a graph
Intercepts of a Graph (visually—already did algebraically)
Choose appropriate scales for axes based on table of values
(skip symmetry and circles)
1.1 Homework (p. 86):
vocabulary 1-3;
problems 1-11 odd, 63, 73, 74
2.1 Objectives:
Slope-intercept form for equation of a line
Slope formula
Write equation of Line
Parallel and Perpendicular lines
2.1 Homework (p. 183):
vocabulary 1-5, 7;
problems 1-25 odd, 29-47
odd, 51-57 odd, 61-75 odd,
133-135
2.3 Objectives:
Vertical Line Test
Domain and Range from a graph
Zeros of a Function
Intervals where increasing, decreasing, constant
(skip even/odd functions and average rate of change)
2.3 Homework (p. 210):
vocabulary 1-5;
problems 1-14, 15-21 odd,
31-37, 55, 56, 107-113, 115,
116
2.4 Objectives:
Parent Functions (Constant, Identity, Absolute Value, Square Root, Quadratic,
Cubic and Reciprocal—graphs a-g on page 219)
Piecewise Functions (linear pieces only)
(skip step and greatest integer functions)
2.4 Homework (p. 220):
vocabulary 2-9;
problems 1-7 odd, 43, 44, 65,
69, 71, 73-76 (memorize
functions a-g on p. 219)
2.5 Objectives:
Shift Graphs of parent functions from section 2.4
Reflect Graphs of parent functions (x-axis reflections only)
(skip vertical and horizontal stretching/shrinking)
2.5 Homework (p. 228):
vocabulary 1, 2, 5, 6;
problems 1, 2, 5abd, 7abd,
9-17 odd, 18, 19-22, 25, 26,
29-33, 37, 38, 40, 43-45, 47,
48, 80-88
3.1 Objectives:
Quadratic Functions using f ( x)  ax 2  bx  c
(skip f ( x)  a( x  h)2  k ; do problems given in that form by shifting)
Open up/down; Narrower/Wider than quadratic parent function from 2.4
Find vertex using formula on page 269 of text
Graph by shifting (like 2.5) and/or using vertex and x-intercepts
3.1 Homework (p. 270):
vocabulary 1-5;
problems 1-8, 13-27 odd,
53-56, 89, 90, 93, 95-104
3.2 Objectives:
Power Functions and graph by shifting
Max number of turning points
Leading Coefficient test
Zeros and Multiplicity
Graph using end behavior, zeros, multiplicity, and plotting a few additional points
3.2 Homework (p. 284):
vocabulary 1-6;
problems 1-8, 9abd, 10ab,
11abc, 12bc, 13-21 odd,
27-37 odd, 41, 42, 47-53 odd,
67-79 odd, 99, 101, 102,
105-112, 117-120
Unit 3 Extra Practice/Review:
p. 72: 103-106
p. 165: 1-12
p. 253: 1-10, 13-28, 55-64, 77, 78, 81-84, 89, 91-98, 100
p. 257: 1, 3, 15
p. 326: 1, 3-12 (use vertex and x-intercepts to graph), 25-39 odd, 42
p. 330: 1, 2, 9, 10
Unit 4—Exponential and Logarithmic Functions (text sections 5.1-5.4)
5.1 Objectives:
Basic Exponential Function (increasing and decreasing)
One to One Property
Graph of basic Exponential function including asymptote
Shifting graph of basic exponential function (including asymptote)
(Skip compound interest)
5.1 Homework (p. 392):
vocabulary 1-5;
problems 7-10, 17-19 odd,
45-51 odd, 71-77 odd
5.2 Objectives:
Basic Log function
Convert from Log form to Exponential form
Common Log, Natural Log and Properties (pages 396 and 400)
Graph of basic log function including asymptote
Shifting graph of basic log function (including asymptote)
5.2 Homework (p. 402):
vocabulary 1-5;
problems 1-21 odd, 27-41
odd (omit 37), 45-59 odd, 6569 odd, 79-85 odd, 92, 103107 odd
5.3 Objectives:
Properties of Logs (condense and expand)
Evaluate logs without a calculator
5.3 Homework (p. 409):
vocabulary 3-5;
problems 17-79 odd, 87, 103105, 107-110
5.4 Objectives:
One to One and Inverse Properties
Solve Exponential Equations (leave answers exact)
(skip solving logarithmic equations that require condensing)
(skip doubling time)
5.4 Homework (p. 419):
vocabulary 1-3;
problems 9-12*, 15-20*, 2149* every other odd, 51, 63*,
65*, 119-122 *leave answers
exact—do not approximate
with a calculator
Unit 4 Extra Practice/Review:
p. 437: 7-14, 23-26, 41-58, 65, 66, 75-94, 97-112*
p. 441: 15-20, 21*, 22*, 24*
*leave answers exact—do not approximate with a calculator