evaluating expressions evaluating powers order of operations writing expressions algebra in the...
TRANSCRIPT
![Page 1: Evaluating Expressions Evaluating Powers Order of Operations Writing Expressions Algebra in the World](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d9c5503460f94a84692/html5/thumbnails/1.jpg)
Evaluating ExpressionsEvaluating Powers
Order of OperationsWriting ExpressionsAlgebra in the World
Expressions
![Page 2: Evaluating Expressions Evaluating Powers Order of Operations Writing Expressions Algebra in the World](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d9c5503460f94a84692/html5/thumbnails/2.jpg)
How do I evaluate expression?
This will be an explanation of what expressions are and how to evaluate them.
Evaluating Expressions
![Page 3: Evaluating Expressions Evaluating Powers Order of Operations Writing Expressions Algebra in the World](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d9c5503460f94a84692/html5/thumbnails/3.jpg)
Algebraic Expressions consist of numbers, expressions, and operations.
Evaluating ExpressionsWhat Are Expressions?
![Page 4: Evaluating Expressions Evaluating Powers Order of Operations Writing Expressions Algebra in the World](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d9c5503460f94a84692/html5/thumbnails/4.jpg)
2+3n2 is the constant, meaning it will never
change3 is the coefficient, meaning it is the number
in front of, or goes with, the variable.n is the variable, meaning that this number
may vary. Variables can be any letter of the alphabet.
Evaluating ExpressionsParts of an expression
![Page 5: Evaluating Expressions Evaluating Powers Order of Operations Writing Expressions Algebra in the World](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d9c5503460f94a84692/html5/thumbnails/5.jpg)
Evaluating ExpressionsHow do I do this?Always evaluate
expressions from left to right.
Use the acronym, P.E.M.D.A.S., or, Please Excuse My Dear Aunt Sally. This means: Parenthesis(grouping symbols, exponents, Multiplication and Division (left to right) and Addition and Subtraction(again, left to right).
![Page 6: Evaluating Expressions Evaluating Powers Order of Operations Writing Expressions Algebra in the World](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d9c5503460f94a84692/html5/thumbnails/6.jpg)
3t+7 when t = 5Substitute 5 for 3: 3(5)+7Multiply 3 and 5: 15+7Add 15 and 7: 22 is the answer
Evaluating ExpressionsExample 1
![Page 7: Evaluating Expressions Evaluating Powers Order of Operations Writing Expressions Algebra in the World](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d9c5503460f94a84692/html5/thumbnails/7.jpg)
5+5n when n = 3Substitute 3 for n: 5+5(3)Multiply 5 and 3: 5+15Add 5 and 15: 20 is the answer
Evaluating ExpressionsExample 2
![Page 8: Evaluating Expressions Evaluating Powers Order of Operations Writing Expressions Algebra in the World](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d9c5503460f94a84692/html5/thumbnails/8.jpg)
3n-(-2) when n = 2Substitute 2 for n: 3(2)-(-2)Multiply 3 and 2: 5-(-2)Change the signs from – and (-) to ++: 5+
(+2)Add 5 and 2: 7 is the answer
Evaluating ExpressionsExample 3
![Page 9: Evaluating Expressions Evaluating Powers Order of Operations Writing Expressions Algebra in the World](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d9c5503460f94a84692/html5/thumbnails/9.jpg)
For more information on evaluating expressions, please visit: sites.google.com/site/mathtimesdugas
Evaluating ExpressionsMore Information
![Page 10: Evaluating Expressions Evaluating Powers Order of Operations Writing Expressions Algebra in the World](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d9c5503460f94a84692/html5/thumbnails/10.jpg)
Evaluating Powers!
By: Erin Rahe, Travis Alexander, Ashley Steinacher, Chantelle Settles
![Page 11: Evaluating Expressions Evaluating Powers Order of Operations Writing Expressions Algebra in the World](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d9c5503460f94a84692/html5/thumbnails/11.jpg)
Evaluating Powers: How do I evaluate powers?
• When you evaluate powers you take the base times its self as many times as the power says.
![Page 12: Evaluating Expressions Evaluating Powers Order of Operations Writing Expressions Algebra in the World](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d9c5503460f94a84692/html5/thumbnails/12.jpg)
Evaluating Powers: Step by step
• Step 1- look at the base.• Step 2-you look at the power.• Step 3- take the base times its self as many
times as the power says.
23 23 2x2x2=8
![Page 13: Evaluating Expressions Evaluating Powers Order of Operations Writing Expressions Algebra in the World](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d9c5503460f94a84692/html5/thumbnails/13.jpg)
Evaluating powers: examples
73 7x7x7=343
125 12x12x12x12x12=248,832
![Page 14: Evaluating Expressions Evaluating Powers Order of Operations Writing Expressions Algebra in the World](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d9c5503460f94a84692/html5/thumbnails/14.jpg)
Thank You!!!!!!
![Page 15: Evaluating Expressions Evaluating Powers Order of Operations Writing Expressions Algebra in the World](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d9c5503460f94a84692/html5/thumbnails/15.jpg)
Order of Operations
By: Dylan Barnett, Haley Duba, Selena Rios, Randy
Rabe, Taylor Cox
![Page 16: Evaluating Expressions Evaluating Powers Order of Operations Writing Expressions Algebra in the World](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d9c5503460f94a84692/html5/thumbnails/16.jpg)
Key Concept
How to use the order of operations to evaluate expressions
P-parenthesis E- exponents M/D- multiply and/or divide A/S- Add and/or subtract
![Page 17: Evaluating Expressions Evaluating Powers Order of Operations Writing Expressions Algebra in the World](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d9c5503460f94a84692/html5/thumbnails/17.jpg)
How to Do It.
First, evaluate expressions inside parenthesis
Next, evaluate powers. Then, multiply and/or divide from left
to right. Finally, add and/or subtract from left to
right.
![Page 18: Evaluating Expressions Evaluating Powers Order of Operations Writing Expressions Algebra in the World](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d9c5503460f94a84692/html5/thumbnails/18.jpg)
Examples
50-5x42÷2 ¾ [13-(2+3)]2
50-5x16÷2 ¾[ 13-5]2
50-80÷2 ¾ [8]2
50-40=10 ¾ (64)=48
![Page 19: Evaluating Expressions Evaluating Powers Order of Operations Writing Expressions Algebra in the World](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d9c5503460f94a84692/html5/thumbnails/19.jpg)
pictures
![Page 20: Evaluating Expressions Evaluating Powers Order of Operations Writing Expressions Algebra in the World](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d9c5503460f94a84692/html5/thumbnails/20.jpg)
Writing Expressions
By:Colton MillerJesse Britain Sami Avery
Olivia Schnettgoecke
![Page 21: Evaluating Expressions Evaluating Powers Order of Operations Writing Expressions Algebra in the World](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d9c5503460f94a84692/html5/thumbnails/21.jpg)
Key Concepts
• To translate verbal phrases and to expressions, look for words that indicate mathematical operations
![Page 22: Evaluating Expressions Evaluating Powers Order of Operations Writing Expressions Algebra in the World](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d9c5503460f94a84692/html5/thumbnails/22.jpg)
How to write Expressions
There is many different ways to write aexpressionStep 1: Write a verbal expressionStep 2: Translate the verbal model into an
algebraic expression.
![Page 23: Evaluating Expressions Evaluating Powers Order of Operations Writing Expressions Algebra in the World](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d9c5503460f94a84692/html5/thumbnails/23.jpg)
Examples
“5 less than the sum of 5 and z.(5+z)-5 z=5(5+5)-5(10)-55
![Page 24: Evaluating Expressions Evaluating Powers Order of Operations Writing Expressions Algebra in the World](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d9c5503460f94a84692/html5/thumbnails/24.jpg)
Examples
• “The Difference between 52 and 3 times x”• (52-3)x x=2• (49)2• 98
![Page 25: Evaluating Expressions Evaluating Powers Order of Operations Writing Expressions Algebra in the World](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d9c5503460f94a84692/html5/thumbnails/25.jpg)
Example
• “5 Times the difference of 8 and x • (8-x)5 x=10• (8-10)5• (-2)5• -10
![Page 26: Evaluating Expressions Evaluating Powers Order of Operations Writing Expressions Algebra in the World](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d9c5503460f94a84692/html5/thumbnails/26.jpg)
ALGEBRA USED IN REAL LIFE
There are many different ways algebra is used in real life
Here are a few
![Page 27: Evaluating Expressions Evaluating Powers Order of Operations Writing Expressions Algebra in the World](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d9c5503460f94a84692/html5/thumbnails/27.jpg)
Trajectory of Projectiles
D=v(t)
D= distance V= velocity T= time
the bullet will hit the ground at the same time as the bullet that is dropped from the same height.
![Page 28: Evaluating Expressions Evaluating Powers Order of Operations Writing Expressions Algebra in the World](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d9c5503460f94a84692/html5/thumbnails/28.jpg)
Jets and Cars
JETS CARS
55mph x s hours= x miles
![Page 29: Evaluating Expressions Evaluating Powers Order of Operations Writing Expressions Algebra in the World](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d9c5503460f94a84692/html5/thumbnails/29.jpg)
Football
3 pts. = 1st. Place vote
2pts. = 2nd Place vote
1pt. = 3rd Place vote
Player 1st Place
2nd Place
3rd Place
Jason White
319 204 116
Larry Fitzgerald
253 233 128