Download presentation

Presentation is loading. Please wait.

Published byBlake Fox Modified over 4 years ago

1
Objectives: To evaluate and simplify algebraic expressions

2
Subsets of Real Numbers

3
Natural Numbers: 1, 2, 3,… used for counting Whole Numbers: 0, 1, 2, … include zero Integers: …-2, -1, 0, 1, 2… include opposites Rational Numbers: 7/5, -1/2, 0.25, 3 – Can be written as a fraction – Decimal will either repeat or terminate Irrational Numbers:, , 1.011011101111… – Cannot be written as a fraction – Decimal will not repeat or terminate

4
Definitions Variable: symbol usually a letter that represents one or more numbers Algebraic Expression: expression that contains one or more variables Evaluate: substituting numbers for variables in an expression and following order of operations What are order of operations???

5
Review Simplify the following using order of operations: 1.27 + 18 ÷ 9 – 3 2 + 12.(40 + 24) ÷ 8 – (2 3 + 1)

6
More Definitions Term: number, variable, or product of one or more variables Coefficient: the numerical factor in a term Like Terms: have the same variables raised to the same powers

7
Example 1 Evaluate 7x – 3xy for x = –2 and y = 5.

8
Example 2 Evaluate –x 2 – 2(x + 1) for x = 3 CAUTION! -3 2 ≠ (-3) 2 -x 2 ≠ (-x) 2 How many negatives? -x 2, (-x) 3,-x 5, (-x) 6, (-x) 4, -x 10

9
Example 3 Simplify by combining like terms 2x 2 + 5x – 4x 2 + x – x 2 y(1 + y) – 3y 2 – (y + 1)

10
Example 4 Find the perimeter of the figures and simplify the answer.

11
Summary Questions Subtraction is the same as adding a ________. Division is the same as multiplying by ______. What’s the distributive property? What happens when you multiply by 0? -1? What does –(ab) equal? What happens when you take the opposite of an opposite?

Similar presentations

© 2020 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google