Download T. Henson Math 65 Elementary Algebra STUDY GUIDE FOR EXAM I

T. Henson
Math 65 Elementary Algebra
STUDY GUIDE FOR EXAM I
Exam I will be given on Tuesday, September 11. You will have the entire class
time for the exam. The exam is closed-book and closed-note and calculators
may not be used. Cell phones must be off during the exam. Anyone using a cell
phone or other electronic communication device during the exam will receive a 0
on the exam.
Exam I will cover all sections of Chapter 1 and sections 1 – 4 of Chapter 2. This
study guide summarizes the concepts, vocabulary, properties and skills you
should know for the exam. To study for the exam, review the concepts and skills
listed and write out any definitions or properties you are expected to know.
CHAPTER ONE
Section One
Vocabulary: sum, difference, product, quotient, variables, equation, algebraic
expression.
Concepts and Skills:
• Using tables, bar graphs and line graphs to describe numerical
relationships. Given one, create the other.
• Express symbolic statements in words
• Distinguish between expressions and equations
• Use a formula to create a table
Section Two
Vocabulary: whole numbers, factors, factor, prime number, composite number,
prime factorization, equivalent fractions, reciprocal, least common denominator,
mixed number
Concepts and Skills:
• Find all factors of a number
• Find the prime factorization of a number
• Find the reciprocal of a number
• Build equivalent fractions
• Simplify fractions (write in lowest terms)
• Add, subtract, multiply and divide fractions and mixed number
Section Three
Vocabulary: positive integers (natural numbers), whole numbers, negative
integers, integers, rational numbers, irrational numbers, real numbers, absolute
value
Concepts and Skills:
• Given a set of numbers
o Identify which numbers in the set are positive integers, whole
numbers, etc.
Math 65 Study Guide for Exam I
T. Henson
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•
•
o Graph the numbers in the set on the number line
Given a pair of numbers, determine whether one is less than, greater than,
or equal to the other
Find the absolute value of a number
Section Four
Vocabulary: signed numbers
Properties: Commutative Property of Addition, Associative Property of Addition,
addition Property of 0, Inverse Property of Addition
Concepts and Skills: Add signed numbers
Section Five
Properties: Opposite of an opposite
Concepts and Skills: Subtract signed numbers
Section Six
Properties: Commutative Property of Multiplication, Associative Property of
Multiplication, Identity Property of Multiplication, Multiplicative Inverses, Division
by 1, Division of a number by itself, Division involving 0
Concepts and Skills:
• Multiply and divide signed numbers
• Rules for determining whether the result of multiplication or division is
positive or negative
Section Seven
Vocabulary: exponential expression, exponent, base,
Properties: Even and odd powers of a negative number
Concepts and Skills:
• Write a product using exponents
• Evaluate exponential expressions
• Use the Order of Operations to evaluate numerical expressions
Section Eight
Vocabulary: term, coefficient, constant term; various ways of expressing the four
arithmetic processes of addition, subtraction, multiplication, division
Concepts and Skills:
• Given a written phrase, write an algebraic expression
• Formulate an algebraic expression to represent a word problem
• Evaluate algebraic expressions
• Use the values of an algebraic expression to complete a table of values
Math 65 Study Guide for Exam I
T. Henson
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CHAPTER TWO
Section One
Vocabulary: equation, variable (unknown), solution, equivalent equations
Properties: Addition Property of Equality, Subtraction Property of Equality,
Multiplication Property of Equality, Division Property of Equality
Concepts and Skills:
• Given an equation and a number, determine whether the number is a
solution of the equation by checking (without solving the equation)
• Solve simple equations by using one of the four properties of equality and
check the result
Section Two
Concepts and Skills:
• Use the basic problem solving strategy to solve a word problem by
o Identifying a variable quantity
o Writing an equation
o Solving the equation
o Stating the conclusion
o Checking the result
You will not receive credit for solutions that do not contain these steps.
• Use the percent equation to solve percent word problems, including
problems involving percent of increase or decrease
Section Three
Vocabulary: like terms, unlike terms
Properties: Distributive property
Concepts and Skills:
• Simplify products
• Use the distributive property to remove parentheses
• Combine like terms
• Simplify algebraic expressions by removing parentheses and combining
like terms
Section Four
Vocabulary: linear equation in one variable, identity, contradiction
Concepts and Skills:
• Use the Strategy for Solving Equations to solve linear equations in one
variable
• Determine whether an equation is an identity or contradiction
Math 65 Study Guide for Exam I
T. Henson
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