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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 Page 1 of 3 • • 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 Page 2 of 3 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 Page 3 of 3