Essential Question When is the best answer not the best solution ?

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Essential Question When is the best answer not the best solution ?. Unit Questions. What is an expression? What are like terms? How can an algebraic expression be translated? What do you believe a variable is? When can terms be combined?. Table of Contents.

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Essential Question

When is the best answer not the best solution?

Unit Questions

What is an expression?

What are like terms?

How can an algebraic expression be translated?

What do you believe a variable is?

When can terms be combined?

• Slide 1: Essential Question
• Slide 2: Unit Questions
• Slide 4: Simplifying Expressions
• Slide 5: Terms
• Slide 6: Exponents
• Slide 7: Variables
• Slide 8: Constants
• Slide 9: Like Terms
• Slide 10: Combining Terms
• Slide 11: Discussion Problems
• Slide 12 - 37: Jeopardy Review
• Slide 38: Website Listing

Simplifying Algebraic Expressions

3x + 2y – 10 +3x² - 8x + 2y - x²

3v + 6p +2p +2v = 5v + 8p

Created By: Erin Morrison

Instructor: Dr. Richard Holden

For: ED 503

Date: September 8, 2009

What are Terms?

2n²

+

10n

-

8n

Terms

• Terms:
• Quantities connected by addition or subtraction signs.
What are Exponents?

2n²

2n²

5x³

Exponents

• Exponents:
• a number placed above and after another number or variable
• a number used to show the power the prior number or variable will be raised to.

or

What are Variables?

2n²

5x³

Variables

• Variables:
• a quantity that is represented by a symbol or letter
• assumes any given value or set of values. (a, b, c, p, x, z, y, m, n)

or

What is a Constant?

2n²

5x³

Constants

• Constants:
• A number or quantity placed before another quantity
• A number multiplyinganother quantity
• Also known as a coefficient

or

What are like terms?

n³ + n³

n³ + 6n³

• Like terms:
• Terms where the constants and exponents are alike.

****What is the solution?****

7n³

How do you combine?

Look for terms that are the same

2n + 5n² - n – 3n²

2n – n are alike5n² - 3n² are alike

2n-n = (1)n 5n² - 3n² = 2n²

List in order by exponents

Quick check

8x + 6n

7p

3n – 3n²

Z + 2z³

8x + 6n

6p + p

3n – 3n²

7z – 6z + 2z³

Identify the terms, variables, constants, and exponents in problems 2 and 4.

Why can’t some of these terms be combined?