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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
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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
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Evaluate
Divide inside parentheses first.
Multiply next.
Add and subtract in order from left to right.
Answer: 4
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Evaluate
Answer: 2
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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
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Answer: 24
Evaluate the expression
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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
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Answer: 2
Evaluate the expression
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Name the property shown by
Multiplying by 1 does not change the number.
Answer: This is the Multiplicative Identity.
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Name the property shown by the statement
Answer: Commutative Property of Multiplication
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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.
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State whether the following conjecture is true or false. If false, provide a counterexample.
Division of whole numbers is associative.
Answer: false;