Unit 2: Algebraic Expressions

Unit 2: Algebraic Expressions

Section 2.1: Some Vocabulary

Section 2.2: Like Terms

Section 2.3: The Distributive Property

Section 2.4: Simplifying Algebraic Expressions

Section 2.5: Applications

KEY TERMS AND CONCEPTS

Look for the following terms and concepts as you work through the Media Lesson. In the

space below, explain the meaning of each of these concepts and terms in your own words.

Provide examples that are not identical to those in the Media Lesson.

Term

Constant Term

Factors

Coefficient

Like Terms

Combining Like Terms

Distributive Property

Simplifying an

Algebraic Expression

Perimeter

Profit

Name: ________________________________

Date: _____________

Unit 2: Media Lesson

Section 2.1: Some Vocabulary

Definitions

Terms: Parts of an algebraic expression separated by addition or subtraction symbols.

Constant Term: A number with no variable factors. A term whose value never changes.

5

4

2

Example 1: Consider the algebraic expression 4x + 3x ¨C 22x ¨C x + 17

a. List the terms. ________________________________________________________

b. Identify the constant term. ___________________

Definitions

Factors: Numbers or variables that are multiplied together

Coefficient: The number that multiplies the variable.

Example 2: Complete the table below.

¨C4m

List the Factors

Identify the

Coefficient

¨Cx

1

??

2

2?

5

Unit 2: Algebraic Expressions

Media Lesson

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Example 3: Consider the algebraic expression 5? 4 ? 8? 3 + ? 2 ? 4 ? 7

a. How many terms are there? ____________

b. Identify the constant term. _____________

c. What is the coefficient of the first term? ____________

d. What is the coefficient of the second term? ____________

e. What is the coefficient of the third term? ____________

f. List the factors of the fourth term. ___________________________

Section 2.1 ¨C You Try

Consider the algebraic expression 2m3 + m2 ¨C 2m ¨C 8

a. How many terms are there? ____________

b. Identify the constant term. _____________

c. What is the coefficient of the first term? ____________

d. What is the coefficient of the second term? ____________

e. List the factors of the third term. ___________________________

Unit 2: Algebraic Expressions

Media Lesson

Section 2.2: Like Terms

Definition

Terms whose variable factors (letters and exponents) are exactly the same

are called LIKE TERMS.

Identify the Like Terms

Example 1: Identify the like terms in each of the following expressions

3a ¨C 6a + 10a ¨C a

5x ¨C 10y + 6z ¨C 3x

Combine Like Terms

Example 2: Combine the like terms

3a ¨C 6a + 10a ¨C a

5x ¨C 10y + 6z ¨C 3x

7n + 3n2 ¨C 2n3 + 8n2 + n ¨C n3

7n + 3n2 ¨C 2n3 + 8n2 + n ¨C n3

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