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Variables and Expressions Order of Operations Real Numbers and the Number Line Objective: To solve problems by using the order of operations.

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Variables

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Problem 1

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Got it? What is an algebraic expression for 18 more than a number n?

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Got it? What is an algebraic expression for 18 more than a number n? n + 18

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Got it? What is an algebraic expression for 22 less than a number n?

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Got it? What is an algebraic expression for 22 less than a number n? n – 22

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Got it? What is an algebraic expression for 22 less than a number n? n – 22 What is an algebraic expression for 30 less a number n?

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Got it? What is an algebraic expression for 22 less than a number n? n – 22 What is an algebraic expression for 30 less a number n? 30 – n

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Writing Expressions with Multiplication and Division

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Got it?

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Writing an Expression with Two Operations

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Got it?

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Writing a Rule to Describe a Pattern

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Got it?

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Class Work Top of Page 7 (lesson check) 1, 2, 7, 8

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Homework Pages 7-8 9-45 odd

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Exponents

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An exponential is expressed in the following: is read 5 to the second power or 5 squared. is read 5 to the third power or 5 cubed. is read 5 to the fourth power. is read 5 to the fifth power. Etc….

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Simplifying Powers

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Got it?

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Order of Operations

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Please Excuse My Dear Aunt Sally

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Order of Operations Parenthesis Exponents Multiplication Division Addition Subtraction

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Order of Operations Parenthesis- Always simplify everything inside of any grouping symbol before doing anything else.

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Order of Operations Parenthesis- Always simplify everything inside of any grouping symbol before doing anything else. Exponents- After simplifying everything in the grouping symbol, you then apply the exponent.

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Order of Operations Parenthesis- Always simplify everything inside of any grouping symbol before doing anything else. Exponents- After simplifying everything in the grouping symbol, you then apply the exponent.

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Order of Operations Multiplication Division. These operations are equal. You do not always multiply before you divide. These operations are done from left to right.

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Order of Operations Multiplication Division. These operations are equal. You do not always multiply before you divide. These operations are done from left to right. Let’s look at the following. What do you think the answer is?

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Order of Operations Multiplication Division. These operations are equal. You do not always multiply before you divide. These operations are done from left to right. Let’s look at the following. What do you think the answer is? Wrong! Right!

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Order of Operations Addition. Subtraction. These operations are equal. You do not always add before you subtract. These operations are done from left to right.

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Order of Operations

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Got it? Solve the following:

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Got it? Solve the following:

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Got it? Solve the following:

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Got it? Solve the following:

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Evaluating Algebraic Expressions Using Substitution

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Got it? Solve the following if a = 3 and b = 4.

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Got it? Solve the following if a = 3 and b = 4.

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Got it? Solve the following if a = 3 and b = 4.

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Class Work Top of page 13 (lesson check) 1-8 all

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Homework Page 13 9-33 odd 37, 39, 41 45, 47, 49

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Square Roots

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Simplifying a Square Root

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Perfect Squares

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Got it?

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Cube Roots When looking at square roots, we ask what number times itself gives the desired value. A cube root asks what number times itself 3 times gives the desired value. For example:

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Real Number System

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Example 3 Classify each number. a)15 b)-1.4583 c)

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Example 3 Classify each number. a)15 Natural, Whole, Integer, Rational b)-1.4583 c)

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Example 3 Classify each number. a)15 Natural, Whole, Integer, Rational b)-1.4583 Rational c)

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Example 3 Classify each number. a)15 Natural, Whole, Integer, Rational b)-1.4583 Rational c) Irrational

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Graphing and Ordering Real Numbers

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Homework Page 20 9-35 odd 45, 47, 49

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