Chapter 6: Rational Number Operations and Properties
6.5 Comparing, Ordering, and Connecting Rational Numbers 6.5.1. Comparing rational numbers 6.5.1.1. All of the following help to build notions about comparing rational numbers 6.5.1.1.1. models 6.5.1.1.
MATH 1111 Practice Test Four B
Fall Semester November 11, 2015
Name _
Score _ / 100
5. Solve the following systems of equations: (5pts each)
x=2
(a)
x+z =5
x+y+z =6
2 x2 + y 2 = 9
(b)
x2 + y 2 = 5
6. Solve the following systems of equations: (5pts each)
x
MATH 1111 Test Three Online Errata Sheet
Fall Semester October 21, 2015
Name _
Fax Number 912 260 4449
17. Determine the center and radius of the circle (5pts).
x2 y 2 6 x 10 y 2 0
Solve the following systems of equations by using the SUBSTITUTION method
MATH 1111 Practice Test Four A
Fall Semester November 11, 2015
Name _
Score _ / 100
5. Solve the following systems of equations: (5pts each)
x+y+z =6
(a)
y+z =5
z = 2
3x2 + y 2 = 9
(b)
x2 + y2 = 5
6. Solve the following systems of equations: (5pts each)
2
Symmetry of a Graph - Precalculus Section 04G Fall 2016 CO
8/17/16 11:36 AM
Listen
Equations
Symmetry of a Graph
Let's look at the graph of
again.
Imagine there is a mirror on the y-axis, that is, the graph is a mirror image about the y-axis. For
every po
MATH 1111 Practice Test Four D
Fall Semester November 11, 2015
Name _
Score _ / 100
1. Solve the following systems of equations: (5pts each)
x = 3
(a) x + y + z = 4
x + y = 2
2 x2 + y2 = 9
(b)
x2 + y2 = 5
2. Solve the following systems of equations: (5pts
MATH 1111 Practice Test Four
Fall Semester November TBA, 2015
Name _
Score _ / 100
1. Solve the following systems of equations: (5pts each)
4x 3y 2z 5
(a)
5y z 11
3z 12
x2 y 2 3
(b)
x2 y 2 5
2. Solve the following systems of equations: (5pts each)
y x2 3
MATH 1111 Practice Test Four B
Fall Semester November 11, 2015
Name _
Score _ / 100
5. Solve the following systems of equations: (5pts each)
x=2
(a)
x+z =5
x+y+z =6
2 x2 + y 2 = 9
(b)
x2 + y 2 = 5
6. Solve the following systems of equations: (5pts each)
x
Selected Exercises from Precalculus: An Investigation of Functions:
Section 2.1
1. The amount of garbage, G, produced by a city with population p is given by G ! f ( p ) . G is
measured in tons per week, and p is measured in thousands of people.
a. The to
MATH 1111 Practice Test Four
Fall Semester November TBA, 2015
Name _
Score _ / 100
1. Solve the following systems of equations: (5pts each)
4x 3y 2z 5
(a)
5y z 11
3z 12
x2 y 2 3
(b)
x2 y 2 5
2. Solve the following systems of equations: (5pts each)
y x2 3
Section 2.2 Graphs of Linear Functions
When we are working with a new function, it is useful to know as much as we can about the
function: its graph, where the function is zero, and any other special behaviors of the function.
We will begin this explorati
MATH 1111 Practice Test Three
Fall Semester October 21, 2015
Name _
Score _ / 100
1. Shade the area of the plane determine by the
following inequalities: (3pts each)
(a) 2 x + 3 y 6
A
2. Sketch the graph of the function with critical
values 5, 3, 1, 2, 4
MATH 1111 Practice Test Four C
Fall Semester November 11, 2015
Name _
Score _ / 100
1. Solve the following systems of equations: (5pts each)
x y + 2z = 22
(a) 3y 8z = 9
z = 3
2 x 2 y 2 = 14
(b)
x 2 + y 2 = 13
2. Solve the following systems of equations: (
Slope-intercept form - Precalculus Section 04G Fall 2016 CO
8/17/16 11:40 AM
Listen
Equations
Slope-intercept form
Suppose we know that the slope of the line is m and the y-intercept of the line is (0, b). If we
use the point-slope form of a line, the equ
Slope of a Line: m - Precalculus Section 04G Fall 2016 CO
8/17/16 11:39 AM
Listen
Equations
Slope of a Line: m
Definition: Let
and
be two distinct points on the line. The slope of the line
passing through the points
, where
and
is defined by
.
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Chapter 2: Sets and Whole-Number Operations and Properties
2.3 Multiplication and Division of Whole Numbers 2.3.1. Using Models and Sets to Define Multiplication 2.3.1.1. Sets arranged in equal rows and columns are called rectangular arrays 2.3.1.2. To na
Chapter 3: Estimation and Computation
3.2 Strategies and Procedures for Estimation 3.2.1.1. Description of the Three Main Types of Estimation: 3.2.1.1.1. Estimating a quantity: Finding how many students, days, lunches, classes, and so on 3.2.1.1.2. Estima
Chapter 1: Mathematical Processes
1.3 Mathematics as Problem Solving p. 40 1.3.1. The Role of Problem Solving 1.3.1.1. Central to the development and application of mathematics 1.3.1.2. Used extensively in all branches of mathematics 1.3.1.3. The Meaning
Chapter 1: Mathematical Processes
1.2 Reasoning Mathematically
1.2.1. Types of Reasoning
1.2.1.1. Several different types of reasoning
1.2.1.1.1. inductive
1.2.1.1.2. deductive
1.2.1.1.3. proportional
1.2.1.1.4. spatial
1.2.1.2. Sometimes used individuall
Chapter 2: Sets and Whole-Number Operations and Properties
2.1 Sets and Whole Numbers 2.1.1. Sets and Their Elements 2.1.1.1. Sets and their elements 2.1.1.1.1. set: any collection of objects or ideas that can be listed or described 2.1.1.1.1.1.1. Example
Chapter 7: Proportional Reasoning
7.3 Solving Percent Problems 7.3.1. Definition of percent 7.3.1.1. Definition of percent: a percent is a ratio with a denominator of 100 7.3.1.2. represented by the symbol % 7.3.1.3. 100% means 100 or ALL of the amount 10
Chapter 5: Understanding Integer Operations and Properties
5.1 Addition, Subtraction, and Order Properties of Integers 5.1.1. Integer Uses and Basic Ideas 5.1.1.1. Definition of Integers: The set of integers, I (more often seen as Z), consists of the posi
Chapter 4: Number Theory
4.1 Factors and Divisibility 4.1.1. Connecting Factors and Multiples 4.1.1.1. Definition of factor and multiple: If a and b are whole numbers and ab = c, then a is a factor of c, b is a factor of c, and c is a multiple of both a a
Chapter 6: Rational Number Operations and Properties
6.1 Rational Number Ideas and Symbols 6.1.1. Rational Number Uses and Models 6.1.1.1. Models for rational numbers 6.1.1.1.1. Used to describe a quantity between 0 and 1 6.1.1.1.2. identify the whole rep
Chapter 2: Sets and Whole-Number Operations and Properties
2.2 Addition and Subtraction of Whole Numbers 2.2.1. Using Models and Sets to Define Addition 2.2.1.1. How are addition and subtraction different? 2.2.1.2. How are addition and subtraction alike?
Chapter 2: Sets and Whole-Number Operations and Properties
2.4 Numeration 2.4.1. Numeration Systems 2.4.1.1. 2 is a symbol, it is NOT a number numbers are abstract ideas 2.4.1.2. Symbol representing a number is numeral sometimes called the name of the num
Chapter 4: Number Theory
4.2 Prime and Composite Numbers 4.2.1. Defining Prime and Composite Numbers 4.2.1.1. Definition of Prime and Composite Numbers: A natural number that has exactly two distinct factors is called a prime number. A natural number that
Chapter 7: Proportional Reasoning
7.1 The Concept of Ratio
7.1.1. Meaning of ratio
7.1.1.1.
A ratio as a comparison
7.1.1.1.1. compares two like quantities
7.1.1.1.2. compares two unlike quantities
7.1.1.1.3. Definition of ratio: A ratio is an ordered pai
Chapter 7: Proportional Reasoning
7.2 Proportional Variation and Solving Proportions 7.2.1. Recognizing proportional variation 7.2.1.1. ratio remains constant Fundamental Theorem of Fractions idea 7.2.1.2. Definition of quantities varying proportionally: