Mathematics: Applications and Concepts, Course 3 Interactive ChalkboardCopyright © by The McGraw-Hill Companies, Inc.

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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 1-8Solving Addition and Subtraction Equations

Lesson 1-9Solving Multiplication and Division Equations

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

Evaluate

Divide inside parentheses first.

Multiply next.

Add and subtract in order from left to right.

Answer: 4

Evaluate

Answer: 2

Replace r with 6 and s with 3.

Do all multiplications first.

Add and subtract in order from left to right.

Answer: 20

Evaluate the expression

Answer: 24

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

Evaluate the expression

Answer: 2

Evaluate the expression

Name the property shown by

Multiplying by 1 does not change the number.

Answer: This is the Multiplicative Identity.

Name the property shown by the statement

Answer: Commutative Property of Multiplication

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.

State whether the following conjecture is true or false. If false, provide a counterexample.

Division of whole numbers is associative.

Answer: false;