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ALGEBRA: UNIT ONE REVIEW Objective: Classify numbers according to their type and perform the operations of addition, subtraction, multiplication, and division, raising to an exponent, and taking a root of whole numbers, fractions, and decimals. KEY QUESTIONS What are some of the different types of numbers that we work with in Algebra? What are unary and binary operations? How do I perform the mathematical operations of addition, subtraction, multiplication, and division of whole numbers, fractions, and decimals? What do “raising to an exponent” and “taking a root” mean, and how do I do these on a calculator? STUDY NOTES How do I evaluate roots and exponents on a calculator? Objective: Evaluate a numerical expression using the correct order of operations. KEY QUESTIONS What does evaluate mean? Why do we have an Order of Operations and why is the Order of Operations the way it is? What is the correct Order of Operations, and how do I use the correct Order of Operations to evaluate a numerical expression What is the “left to right rule” in the order of operations? STUDY NOTES Objective: Combine integers using addition, subtraction, multiplication, and division. KEY QUESTIONS What is the Additive Inverse Property? How do I combine integers by addition, subtraction, multiplication, and division? STUDY NOTES Objective: Simplify and evaluate variable expressions. KEY QUESTIONS What is a variable, and why do we use variables in Algebra? What is an algebraic expression? How do I evaluate an algebraic expression? How do I simplify an algebraic expression by combining like terms? What is the Distributive Property? What is the difference between EVALUATING a variable expression and SIMPLIFYING a variable expression? STUDY NOTES Objective: Translate between verbal statements and variable expressions, equations, and/or inequalities. KEY QUESTIONS What English words mean +, -, , , =, <, >, , . What does it mean to define a variable, and why is it important to define a variable? How do I translate an English phrase or sentence into an algebraic expression, equation, or inequality? STUDY NOTES