MAC 1105 Assignments – Third Edition Text*
UNIT ONE
Syllabus and Pre-Test
Section 1.1a Introduction to the Graphing Calculator
Read examples 6 and 7. Work Problems 63 – 78 all
Supplemental Practice: A calculator tutorial can be found on line at the following sites:
http://www.prenhall.com/divisions/esm/app/calc_v2/
http://www.escweb.net/math/Calculator/intro.htm
Section 1.2a - One Variable Data
Read Pages 14 - 15 (up to "Two-variable data). Work Problems 5b, 7b, 13b, 17, 18
Section 1.2b - Two Variable Data - Functions
Read pages 22 – 25. Work Problems 77 – 80, 87c, 89d. FOR EACH PROBLEM INVOLVING A GRAPH,
SKETCH THE CALCULATOR SCREEN ON YOUR PAPER, IDENTIFY THE WINDOW, AND LABEL
THE AXES. Also work page 29, Checking basic skills 1 and 5.
**Review of Sections 1.1 and 1.2 - Optional Extra Practice Worksheet
Cross Number Puzzle – Optional Extra Practice Worksheet Answers
Section 1.3a - Three forms of a function - Visual, numerical, symbolic
Homework: Read pages 29 – 32. Work page 44: Problem 74, and do Exercise 1 and 2 from the worksheet.
Section 1.3b - Evaluating Functions Manually
Read pages Examples 3 and 4 (ignore the reference to finding the domain).
Work PART A of problems 23, 24, 30, 31, PART C of problems 37 – 42, and PART A of problems 53 – 58.
Also work the following four problems:
Evaluate f(-2) without using your calculator.
3x  4
1. f(x)=x2 + x – 5 2. f(x) = 3x2 – x + 2
3. f(x) = -x2 – x + 3
4. f(x) =
8 x
Section 1.3c - Evaluating Functions on the Calculator
Rework part a of problems 23, 24, 30, and 31 using the trace feature. Work parts a, b and c of problems 59 –
62, and on problems 63, 66, 68 and 69 work the graphical representation with zoom 6 and the numerical
representation with the method of your choice, but DO NOT do verbal representation.
Practice for Test 1
Old Exam Practice A – with answers
Old Exam Practice B – with answers
Old Exam Practice C
Old Exam Practice C answers
Old Exam Practice D
Old Exam Practice D answers
Answers to Fall 07 Exam 1
UNIT TWO
Section 1.3d - Domain and Range of a Function from the Visual and Numerical Representations
Problems 43 – 50, 77 – 82, and part C of 76. For domain and range, give your answers in interval notation and
check your answers on the worksheet.
Section 1.3e - Domain of a Function Given the Symbolic Notation
Part b only of problems 23 – 33. Write your answers in the form used for set-builder notation, and check your
answers on the worksheet.
Section 1.4a Types of Functions
Read pages 46-49 Work Problems 1-15 odd, 17-24 all, 25, 27, 28, 29, 30, 37 – 51 odd.
NOTE: DO NOT "interpret" the slope on 17 – 24, but DO interpret the slope on 25 – 30.
Section 1.4b Nonlinear Functions
READ PAGES 50 – 54 (Up to the difference quotient). Work problems 31 – 36 all, 53, 55, 81 – 86 odd (but
DO NOT interpret graphically), and 88, and Checking Basic Skills on page 62 problems 3, 4b, 6, 7, 8.
Optional Chapter 1 Review Exercises
Problems 11, 13, 15, 16, 17b, 30a, b, 43a, 45-48ab, 49-52b, 55, 56, 61-74, 78, 85,
Section 2.2a Write the equation of a line
Section 2.2 Read pages 87-91
Work page 99 Problems 5-10 (asks for point-slope form but solved for y), 15-18 (slope- intercept format), 23,
25, 81bd, 82, 88
Section 2.2b Special Cases in Writing the Equation of a Line
Read pages 91 (beginning with Horizontal, Vertical…) through 93.
Work Problems 19, 21, 30, 31, 39, 41, 43, 45, 99, 101, 103, 107 Plus the following in slope-intercept form:
1
1
x  7 , passing through (0,5) b. Perpendicular to y =  x  8 , passing through (2, -3)
3
4
c. Perpendicular to y = -3x – 1 , passing through (-6, -5)
a. Perpendicular to y =
Section 2.1 - Linear Regression (Optional)
Section 2.1 Problems 61ab, 62, 63, and "Extended and Discovery Exercises pg 87" problem 1
Section 2.2 Problems 89, 90
Section 2.3a Solving Linear Equations Symbolically
WITHOUT A CALCULATOR, Work problems 7 – 28 all, 31 – 40 all
Section 2.3b Solving Linear Equations Graphically
Use the "intersect" function on your calculator to work Problems 43 – 45 all, 57 – 64 all, 79, 80ab, 84, 112
Note: Using zoom 6 to graph the application problems.
Even answers (rounded to the nearest thousandth)
44) -3.385 58) 3.200 60) 2.320 62) 14.813 64) -0.800 80b) 1997 84c) 2001
112c) 2006
Practice for Test 2
Old Exam Practice for Test 2 - A
Old Exam Practice for Test 2 - B
Answers
Answers
Answers to Fall 07 Exam 2
UNIT THREE
Section 2.4a Solving Inequalities Symbolically
Read pages 123 – 125. Work Problems 1 – 5, 8 – 12, 13 – 37 odd
Section 2.4b Solving Inequalities Graphically
Problems 57 – 60, 69, 81 – 84, 85, 98
Section 2.5 Solving Absolute Values
Read pages 144 – 148. Finish "You Try" above if not completed in class.
Work Problems 39 – 48 and 60 w/o a calculator, and use a calculator on problems 61a, 63a, 77, and 81.
Optional Chapter 2 Review Exercises
Problems 3, 9 – 14, 17 – 22, 27 – 32, 37 – 57, 62, 64, 65, 68 – 70, 80, 92
Optional Cumulative Review Exercises
Problems 4, 9, 15, 17, 22, 23, 28, 33 – 36, 43 – 47, 49, 50, 53 – 56, 60, 66, 67
Section 3.1 Graphing Quadratic Functions
Problems 59, 60, 63, 69, 71, 73, 77, 81, and using the equations in problems 43, and 46 determine the vertex on
your calculator. Also do the review of factoring on the worksheet.
Selected answers: 43) (1.25, .125) 46) (-1.5, .25)
Optional Review of Factoring
Section R.5 Read pages R27 – R36. Work Page R36 problems 1, 3, 5, 33 – 43 odd, 49, 51, 59, 61, 63,
77, 83, 109, 115, 117,
Section 3.2a Solve quadratic equations by factoring
Problems 1 – 7, 13, 21, and part c only of problems 31, 33, 35, 45, 47, 53
In addition, work the following two problems:
Determine the vertex and x-intercepts and sketch the graph (no calculators):
1. f(x) = x2 + 4x – 32
2. f(x) = -2x2 + 18
Section 3.2b Quadratic formula
SOLVE THE FOLLOWING PROBLEMS USING THE QUADRATIC FORMULA METHOD (NOT
COMPLETING THE SQUARE). GIVE YOUR ANSWERS IN SIMPLIFIED RADICAL FORM.
Problems 65 – 71 odd, 75, 77
Also, given the following functions, determine the vertex and x-intercepts to the nearest hundredth and sketch a
graph:
1. f(x) = 2x2 – 8x + 1
2. f(x) = -x2 + 2x + 5
Worksheet answers: 1) v = (2, -7) Int = .13 and 3.87 2) v=(1,6) int = -1.45 and 3.45
Section 3.2c and 3.3 - Solving quadratic equations and inequalities graphically
Section 3.2 – EQUATIONS Problems 39 – 44 and part b only of problems 61 - 64
Section 3.3 - INEQUALITIES: Problems 1, 2, w/o calculator work problems 11, 15, 27, 31, and 49
Use your calculator to graph and solve (to the nearest hundredth) problems 19, and 37.
Check your answers to 19 and 37 below.
19) 0.67 or 1.25, [0.67, 1.25], (-  ,0.67] U [1.25,  ) 37) ( -0.33,0.5)
Extra Practice for Quadratic Equations and Functions (Outside Assignment)
Section 3.1 Modeling Data (Optional)
Problems 103 - 108
Optional Chapter 3 Review Exercises
7, 8, 11, 15, 19, 25 – 31, 45, 46, 53, 70abc, 71abc (76, 77 - Modeling Data)
Practice Test 3
Extra Practice Test 3
Answers
Answers to Fall 07 test
Answers to Fall 08 Form A
Answers to Fall 08 Form B
UNIT FOUR
Section 4.4a Complex numbers
Read pages 293 through 296 up to the Fundamental Theorem of Algebra
Work Problems 1 – 23 all, 27, 31, 33, 45, 49, 51, 53
Sections 4.1 & 4.2 Graphs of polynomial functions
Section 4.1 Problems 1-8,10
Section 4.2 Problems Part b and c only on 3 – 12, part a only on 13-18, parts a and b on 19 – 30, 41 – 44 all,
45 – 53 odd, 83
Section 4.3a Verify zeros of a polynomial function
Use these directions, not the directions in the text.
You have been given the indicated zeros of the function. VERIFY that they are actually the real zeros using
synthetic division on problems 39 – 44. (Hint: Save any fraction for last.)
Section 4.3b and 4.4a Finding zeros/solutions of polynomial functions using the calculator
USE THESE DIRECTIONS – NOT THOSE IN YOUR TEXT – CHECK ANSWERS BELOW
1. Use the indicated zero and synthetic division to give exact values for All Zeros of the
function on Page 289 problems 63, 65 (non-calculator)
2. Use an observed zero (from the calculator) and synthetic division to give exact values for
All Zeros to the function on Page 290 problems 89 - 94 and
Page 304 problems 97 and 98
3. Use an observed zero (from the calculator) and synthetic division to give exact values for
All Solutions to the equations on Page 304 problems 101, 107, 109
4. Use your calculator to enter the polynomial into y1 and 0 into y2 and solve to the nearest
hundredth with point(s) of intersection on Page 291 problems 123, 125, 127
Homework Answers: Section 4.3 63) 1, 3, 5 65) – 4, 3/4,3 89) -3, 1/2, 1 90) -3, 1, 2 91) - 2, - 1,
1,3/2 92) – 3, - 1, 1/2,3
93) 1, 4,1/3 94) -2,  3 , 123) –2.01, 0.12, 2.99
125) –4.05, -0.52,
1.71
127) –2.69, -1.10, 0.55, 3.98
Section 4.4 97) 1,-3, 2i 98) -2, 4i 101) 2, i 7 107) -2,1,
1 2i 2
2i 2 109) -2, 
3
3
Extra Practice for Polynomial Functions and Equations (Outside Assignment)
Section 4.3c and 4.4b Finding zeros/solutions of polynomial functions symbolically
USE THESE DIRECTIONS NOT THE DIRECTIONS IN YOUR TEXT AND CHECK YOUR ANSWERS
BELOW .
1. Page 290. Determine EXACT VALUES for ALL solutions symbolically on problems 97 – 104, 106 – 112.
2. Page 304. Determine EXACT VALUES for ALL the zeros of the functions symbolically on
problems 93 – 96 and solutions to the equations on problems 99 and 105
3. Page 304. Use an observed zero from your calculator and synthetic division to help you
determine EXACT VALUES for ALL the zeros of the functions on
problems 97 and 98, and solutions to the equations on problems 100 and 104
Answers:
Pg 290 97) -3, 0, 2 98) 1, 3 99) -1, 1,  i 100) 100) 2, -2, 1, -1 101) -2, 0, 2 102) -3, 1
103) -5, 0, 5 104) -2, 3, 0 (0 counts twice) 106) 1, - 1,  5
107) -3, 0, 6 108) 1, -1, 0 (0 counts
twice) 109) 0, 1 (1 counts twice) 110) -1, 0, 1 111) -1/4, 0, 5/3 112) 0, 3, 1/3
Pg 304 93) 0,  i 94) 0, i 10 95)  i , 2i 96) 0, 2i (0 counts twice)
99) 0,  i 105) –0,
1 i 15

(0 counts twice)
2
2
Pg 304 continued: 97) -3, 1, 2i
98) -2, 4i
100) –1,
1 1
 i
2 2
104) 0, 2,  i
Section 6.1 and 6.2 Systems of Equations
Homework: Solve these systems using the substitution method.
1. y = x - 2
2. y = 2x + 7
3x – y = 10
x2 + y + 1 = 8
Page 487 WITHOUT a calculator work Problems 31 – 34, and 51.
USE YOUR CALCULATOR to solve problems 52, 63 and 65.
Page 504 Use your calculator and the graph and shade method to solve problems 47, 51, 57, and 58
Worksheet answers: 1. (4,2) 2. (0,7), (-2,3)
Practice Test 4
Extra Practice Test 4 with answers
Test 4 Answers – Fall 07
PowerPoint – Review for Test 4
UNIT FIVE
Section 4.7 Radical Functions and Equations
Page 344 Problems 69, 71, 77, and 78 along with the following:
Without the use of a calculator, give the domain and range and sketch the graph of these functions. You may
use the calculator to CHECK your graphs.
1. f(x) = x  7
2. f(x) = 7  x
3. f(x) = 14 x  7
3
3
4. f(x) = 3x  5
5. f(x) = 3x  5
6. f(x) = 2  x
Solve the following equations graphically (with the calculator) to the nearest hundredth:
3
7. 3.2 x  1.5  1.7
8. x  5.3  x  4.76
9. x  6  4.1  x
Worksheet answers: 1. [7,),[0,) 2. (-,7],[0,) 3. [1/2,),[0,) 4. [-5/3,),[0,)
5. (-,),(-,) 6. (-,),(-,) 7. x=1.37 8. x=8.47
9. x=5.07
Section 4.5 Rational Function
HW: Page 319 Problems 15 - 18, 21 – 22, and part d only of problem 57. IF problem 110 was done in class,
then also work problems 101 and 103.
Optional Chapter 4 Review Exercises
Problems 1, 19, 20, 23, 24, 25, 26, 27, 47 – 52, 55, 56, 57 – 59, 61 – 64, 65, 76, 113, 125a, 126,
Optional Chapters 1 – 4 Cumulative Review Exercises (Page 358)
Problems 11, 12, 13, 15, 17, 21 – 23, 25 – 28, 37, 38, 39, 43, 52,
Optional Final exam review (get an early start)
Section 4.7 and 5.3 Review of Exponents – Outside Assignment
Section 5.3 Exponential Functions
1. On Problems 43 and 44, sketch the graph then check it on your calculator
2. Work problem 60 and check below, and use your calculator to calculate answers to the
interest problems in 69, 70, 72, 73 and 97
3. Also, use your calculator to solve the following equations graphically:
a) 2x = 72
b) ex = 25
c) 10x – 5 = 95
d) 2x + 1 = 15
Selected Answers:
Page 384: 60) bdac 70) $6710.84 72) $3866.48
Worksheet answers: a) 6.17 b) 3.22 c) 2
d) 3.81
Section 5.4 Introduction to Logarithms
Page 431 W/O a calculator work problems 19 – 24, 31, 34, 35, and 36
With a calculator work problem 123 (Hint: Do b then a then c)
Also use your calculator to evaluate the following using the change of base rule:
a) log2 25
b) log5 130
c) log3 67
Selected Answers: 20) -2 22) 2 24) 1 34) 1/2 36) k
a) 4.644 b) 3.024 c) 3.827
Section 5.5 Properties of Logs
Problems 7-15 odd, 31, 37, 39, 41, part b only of 53 – 58
Section 5.6 Log and Exponential Equations
Modeling with Exponential and Logarithmic Equations - Optional
Section 5.3 Problems 19 - 24
Section 5.4 Problems 115 and 116
Section 5.7 Problems 9, 13,
Optional Chapter 5 Review Problems
43, 44, 49, 53 – 62, 69 – 74, 75, 77, 79 – 82, 95,
Practice Test 5
Extra Practice Test 5
Test 5 Fall 07 - Form A
Form B
Test 5 Answers Fall 07 (Both forms)
Practice Problems for the final with answers
Extra Practice for the final exam
Work (or rework) the optional chapter review and cumulative review problems from the units above.
Work (or rework) the optional final exam review from Unit Five above
*The instructor reserves the right to modify the above order/content as deemed necessary to fit the
current semester's schedule.