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Mathematics: Applications and Concepts, Course 3 Interactive Chalkboard
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2. Splash Screen

3. 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

4. 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

5. 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

6. Evaluate
Answer: 2
Example 2-1b

7. 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

8. Evaluate the expression
Answer: 24
Example 2-2b

9. 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

10. Evaluate the expression
Answer: 2
Example 2-3b

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

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

13. 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

14. 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

15. End of Lesson 2