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 any numbers a, b and c, if a = b, then ac = bc.
Cancel
Math 122
Practice Exam 3
Name:
MULTIPLECHOICE.Choosetheonealternativethatbestcompletesthestatementoranswersthequestion.
Providetheproperresponse.Showallfractionsinsimplestform.
1) Writeafractiontorepresenttheshadedportionofthefigure.
A)
4
3
B)
3
4
C)
1
4
Math122
PracticeExam2
Name:
MULTIPLECHOICE.Choosetheonealternativethatbestcompletesthestatementoranswersthequestion.
Writethestatementinalgebraicform.
1) 11 lessthananumber
A) 11n
B) n+ 11
2) 25 morethananumber
A) 25 - n
1)
C) n- 11
D) 11 - n
2)
B) n+ 25
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 answers the question.
Find the number of terms in the sequenc
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.
Carry out the plan.
4.
Look back.
1. UNDERSTAND THE PR
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
Relating Multiplication and Division as Inverse Operations
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 the
combined group?
Note that the sets must be disjoint
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 Systems
Numerals
Written symbols to represent cardinal
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?
Inductive Reasoning
Make generalizations based on obs
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 of the given statement. The
negation of a true stateme
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 Algorithms
Multiplication by 10n
To multiply by 10, rep
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 braces
and label the set with a capital letter.
A = cfw_
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
Integer Subtraction
Representations of Integers
The set of in
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 of Functions
Relations
Properties of Relations
Functions
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 heights vary with their ages. If h represents height a