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

Variables

Problem 1

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

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

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

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

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?

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

Writing Expressions with Multiplication and Division

Got it?

Writing an Expression with Two Operations

Got it?

Writing a Rule to Describe a Pattern

Got it?

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

Homework Pages 7-8 9-45 odd

Exponents

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….

Simplifying Powers

Got it?

Order of Operations

Please Excuse My Dear Aunt Sally

Order of Operations Parenthesis Exponents Multiplication Division Addition Subtraction

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

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.

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.

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.

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?

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!

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.

Order of Operations

Got it? Solve the following:

Got it? Solve the following:

Got it? Solve the following:

Got it? Solve the following:

Evaluating Algebraic Expressions Using Substitution

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

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

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

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

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

Square Roots

Simplifying a Square Root

Perfect Squares

Got it?

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:

Real Number System

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

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

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

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

Graphing and Ordering Real Numbers

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

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