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Lesson 1-1 A Plan for Problem Solving Lesson 1-2 Variables, Expressions, and Properties Lesson 1-3 Integers and Absolute Value Lesson 1-4 Adding Integers Lesson 1-5 Subtracting Integers Lesson 1-6 Multiplying and Dividing Integers Lesson 1-7 Writing Expressions and Equations Lesson 1-8 Solving Addition and Subtraction Equations Lesson 1-9 Solving Multiplication and Division Equations Contents

Example 1 Evaluate a Numerical Expression Example 2 Evaluate Algebraic Expressions Example 3 Evaluate Algebraic Expressions Example 4 Identify Properties Example 5 Find a Counterexample Lesson 2 Contents

Divide inside parentheses first. Evaluate Divide inside parentheses first. Multiply next. Add and subtract in order from left to right. Answer: 4 Example 2-1a

Evaluate Answer: 2 Example 2-1b

Evaluate the expression Replace r with 6 and s with 3. Do all multiplications first. Add and subtract in order from left to right. Answer: 20 Example 2-2a

Evaluate the expression Answer: 24 Example 2-2b

Evaluate the expression The fraction bar is a grouping symbol. Evaluate the expressions in the numerator and denominator separately before dividing. Replace q with 5 and r with 6. Do all multiplications first. Subtract in the denominator. Then divide. Answer: 2 Example 2-3a

Evaluate the expression Answer: 2 Example 2-3b

Name the property shown by Multiplying by 1 does not change the number. Answer: This is the Multiplicative Identity. Example 2-4a

Name the property shown by the statement Answer: Commutative Property of Multiplication Example 2-4b

The sum of an odd number and an even number is always odd. State whether the following conjecture is true or false. If false, provide a counterexample. The sum of an odd number and an even number is always odd. Answer: This conjecture is true. Example 2-5a

Division of whole numbers is associative. State whether the following conjecture is true or false. If false, provide a counterexample. Division of whole numbers is associative. Answer: false; Example 2-5b

End of Lesson 2