4-2 Equations
Properties of Equality
Applications
Properties of Equality
Addition Property of Equality
For any numbers a, b and c, if a = b, then a + c = b + c.
Multiplication Property of Equality
For
Math 122
Practice Exam I
Name_
You must show work for credit. This is a practice test and will not be collected.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answer
Math 122
Practice Exam 3
Name:
MULTIPLECHOICE.Choosetheonealternativethatbestcompletesthestatementoranswersthequestion.
Providetheproperresponse.Showallfractionsinsimplestform.
1) Writeafractiontorepr
1-1 Mathematics and Problem Solving
Four-Step Problem-Solving Process
Strategies for Problem Solving
Four-Step Problem-Solving Process
1.
Understand the problem.
2.
Devise a plan/choose a strategy.
3.
3-3 Multiplication and Division of Whole Numbers
Multiplication of Whole Numbers
Repeated-Addition Model
Properties of Whole-Number Multiplication
Division of Whole Numbers
The Division Algorithm
Rel
3-1 Addition and Subtraction of Whole Numbers
Addition of Whole Numbers
Set Model
Suppose Jane has 4 blocks in one pile and 3 in another. If she
combines the two groups, how many objects are there in
2-1 Numeration Systems
Hindu-Arabic Numeration System
Tally Numeration System
Egyptian Numeration System
Babylonian Numeration System
Mayan Numeration System
Roman Numeration System
Other Number Base
1-2 Explorations with Patterns
Inductive Reasoning
Arithmetic Sequences
Fibonacci Sequence
Geometric Sequences
Other Sequences
Example 1
Describe any patterns:
Do the patterns continue? Why or why not
1-3 Reasoning and Logic: An Introduction
Definitions
Conditionals and Biconditionals
Statement a sentence that is either true or false, but not both.
Negation a statement with the opposite truth value
3-4 Algorithms for Whole-Number Multiplication and Division
Multiplication Algorithms
Division Algorithms
Division by a Two-Digit Divisor
Multiplication and Division in Different Bases
Multiplication
2.2 Describing Sets
Set: any collection of objects
Elements (members): individual objects in a set
Set of vowels: cfw_a, e, i, o, u
One method of denoting a set is to simply list the elements inside b
5-1 Integers and the Operations of Addition and Subtraction
Integers
Representations
Representations of Integers
Integer Addition
Number-Line Model
Absolute Value
Properties of Integer Addition
Intege
4-3 Functions
Functions as Rules
Functions as Machines
Functions as Equations
Functions as Arrow Diagrams
Functions as Tables and Ordered Pairs
Functions as Graphs
Sequences as Functions
Composition o
4-1 Variables
A variable may stand for a missing element or for an unknown, as in x + 2 = 5.
A variable may represent a changing quantity. For example, in a group of children, you
could say that their