Download presentation

Presentation is loading. Please wait.

Published byBaldwin Flynn Modified over 5 years ago

2
Transparency 2 Click the mouse button or press the Space Bar to display the answers.

3
Splash Screen

4
Example 2-1b Objective Evaluate expressions and identify properties

5
Example 2-1b Vocabulary Variable A symbol, usually a letter, used to represent a number x a y

6
Example 2-1b Vocabulary Algebraic expression An expression that contains a variable, a number, and at least one operation symbol 4n x - 3

7
Example 2-1b Vocabulary Numerical expression An expression that contains numbers and at least one operation 3 + 4 7 – 6 6 + 4 - 3

8
Example 2-1b Vocabulary evaluate To find the numerical value of the expression

9
Example 2-1b Vocabulary powers Numbers written using exponents 4 3 8 2

10
Example 2-1b Vocabulary equation A mathematical sentence that contains an equal sign (=) 3 + 4 = 7 X - 4 = 8

11
Example 2-1b Vocabulary Open sentence An equation that contains a variable 2x - 4 = 12

12
Example 2-1b Vocabulary property An open sentence that is true for any numbers

13
Example 2-1b Vocabulary counterexample A statement or example that shows a conjecture is false

14
Example 2-1b Vocabulary Order of operations A set of rules to evaluate expressions

15
Example 2-1b Order of Operations Rules 1.Do all operations within grouping symbols first. ( ) [ ] { } 2.Evaluate all powers before other operations. exponents 3 2 square roots 16 3.Multiply and divide in order from left to right. x3(4) 4.Add and subtract in order from left to right. + - Please Excuse My Dear Aunt Sally P E MD AS

16
Lesson 2 Contents Example 1Evaluate a Numerical Expression Example 2Evaluate Algebraic Expressions Example 3Evaluate Algebraic Expressions

17
Example 2-1a Evaluate 1/4 Write problem 3 + 9 - 2 ( 8 2 ) Follow the rules of Order of Operations P E MD AS Work inside parenthesis first Bring down 3 + 9 - 2 Divide 8 by 2 3 + 9 - 2 3 + 9 - 2 4

18
Example 2-1a Evaluate 1/4 Follow the rules of Order of Operations P E MD AS 3 + 9 - 2 4 Multiply before adding and subtracting Bring down 3 + 9 - Multiply 2 4 3 + 9 - 3 + 9 - 8

19
Example 2-1a Evaluate 1/4 Follow the rules of Order of Operations P E MD AS Add and subtract from left to right Bring down - 8 Add 3 + 9 3 + 9 - 8 12 12 - 8 Subtract 12 - 8 4 Answer: 4

20
Example 2-1b Evaluate Answer: 2 1/3

21
Example 2-2a Evaluate the expression 2/3 Write problem 3r + 2s - 4 Replace r with 6 3(6) Replace s with 3 3(6) + 2(3) Bring down - 4 3(6) + 2(3) - 4

22
Example 2-2a Evaluate the expression 2/3 3(6) + 2(3) - 4 Follow the rules of Order of Operations P E MD AS Multiply before adding and subtracting 18 Multiply 3(6) 18 + 18 + 6 Bring down + Multiply 2(3) 18 + 6 - 4 Bring down - 4

23
Example 2-2a Evaluate the expression 2/3 Follow the rules of Order of Operations P E MD AS Add and subtract from left to right 24 Add 18 + 6 Bring down - 4 Subtract 24 - 4 18 + 6 - 4 24 - 4 20 Answer: 20

24
Example 2-2b Answer: 24 Evaluate the expression 2/3

25
Example 2-3a Evaluate the expression 3/3 Write problem Replace q with 5 Replace r with 6 Bring down - 3

26
Example 2-3a Evaluate the expression 3/3 Follow the rules of Order of Operations P E MD AS Remember: The fraction bar is a grouping symbol Work in the numerator first Multiply 6(5) 30. Now work in the denominator Multiply 3(6) 18 Bring down - 3 18 - 3

27
Example 2-3a Evaluate the expression 3/3 Follow the rules of Order of Operations P E MD AS 30. Finish working in the denominator Bring down 30. 15 Now use the fraction bar as division 18 - 3 Subtract 18 - 3 30. Divide 30 by 15 2 Answer: 2

28
Example 2-3b Answer: 2 Evaluate the expression 3/3

29
End of Lesson 2 Assignment Lesson 1:2 Variables, Expressions & Properties 14 - 40 All

30
Example 2-4a Name the property shown by Multiplying by 1 does not change the number. Answer: This is the Multiplicative Identity. 4/4

31
Example 2-4b Name the property shown by the statement Answer: Commutative Property of Multiplication 4/4

Similar presentations

© 2021 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