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

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

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### Simplifying Algebraic Expressions

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

- Slide 1: Essential Question
- Slide 2: Unit Questions
- Slide 3: Table of Contents
- 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

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 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

- Terms where the constants and exponents are alike.

How do you combine?

Look for terms that are the same

2n + 5n² - n – 3n²

2n – n are alike5n² - 3n² are alike

Add or Subtract the constants

2n-n = (1)n 5n² - 3n² = 2n²

List in order by exponents

Final answer: 2n² + n

Quick check

Answer Box:

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?

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