Test 1 Review Sheet
The following test review lists the important topics covered in the sections along
with suggested problems to review. Make sure you are familiar with the topics. I do not
expect people to work all of the listed problems. The idea is to look through each of
them and for each problem, ask yourself the question, “If this were on the test, would I
know how to solve it?” It would be best to go through the first few steps to make sure
you do know how to solve the problems. If you find you do not know how to solve the
problem, work more examples to become comfortable with those types of problems. The
word problems might be similar to the ones listed here. At least the methods of solving
the problem will be similar even if the situation is not exactly the same. A main topic to
be familiar with that you didn’t get experience with in the homework is graphing. Make
sure you can sketch graphs.
Appendix Test Review
I am not going to list the topics covered in the appendix. Read through the “What
you should learn” box at the beginning of each section for a list of the topics covered in
each section.
Review Problems:
Section A.1:
Section A.2:
Section A.3:
Section A.4:
Section A.5:
Section A.6:
Section A.7:
26, 30, 60
28, 38, 42, 52, 80, 82
16, 44, 58, 154, 168, 206, 208, 220
2, 6, 8, 18, 38, 42, 46, 56
20, 30, 48, 62, 78, 88, 96, 158, 180, 188, 192
32, 40, 54, 96, 98
40
Chapter 1 Test Review
Section 1.1: Rectangular Coordinates
Plot Points
Pythagorean Theorem and the Distance Formula
Midpoint Formula
Translating points in the plane
Common perimeter, area, circumference, and volume equations
Review Problems: 5, 7, 25, 29, 35, 41, 42, 48, 51, 63, 67
Section 1.2: Graphs of Equations
Sketch graphs by plotting points
x and y-intercepts
symmetry
Equation of a circle and sketching
Review Problems: 3, 7, 15, 17, 20, 29, 62, 70
Section 1.3: Linear Equations in Two Variables
Slope
Slope-intercept form and graphing
Point-slope form
Parallel and perpendicular lines
Review Problems: 9, 15, 25, 45, 47, 49, 59, 65, 76, 97, 116
Section 1.4: Functions
Definition of a function, evaluating functions
Domain and range and the implied domain
Piecewise defined functions
Difference quotient
Review Problems: 1, 2, 27, 37, 48, 54, 65, 67, 92, 101
Section 1.5: Analyzing Graphs of Functions
Using a graph to determine values, domain and range
Vertical Line Test
Zeros of a function
Recognize where a function is increasing or decreasing
Average Rate of Change
Even/odd functions
Review Problems: 1, 3, 4, 7, 9, 11, 15, 22, 24, 33, 35, 65, 67, 70, 71, 73,
75, 79, 82, 91
Section 1.6: Library of Parent Functions
General forms of common graphs
Graphing piecewise defined functions
Greatest Integer Functions
Review Problems: 36, 39, 41, 45, 50, 66
Section 1.7: Transformation of Functions
Shifting graphs: vertical, horizontal, reflections
Non-rigid: g(x) = cf(x)
Review Problems: 1, 2, 6, 12, 20, 30, 44, 54
Section 1.8: Composite Functions
f+g, f-g, fg, f/g and domains
f○g, g○g and domains
Review Problems: 10, 12, 24, 32, 34, 36, 63, 64
Section 1.9: Inverse Functions
Testing if two functions are inverses of each other
Horizontal like test
Graphically determine or verify inverses
Algebraically find inverses
Review Problems: 9-12, 16, 18, 20, 29-32, 44, 48, 82