Evaluating Expressions Evaluating Powers Order of Operations Writing Expressions Algebra in the...
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Transcript of Evaluating Expressions Evaluating Powers Order of Operations Writing Expressions Algebra in the...
Evaluating ExpressionsEvaluating Powers
Order of OperationsWriting ExpressionsAlgebra in the World
Expressions
How do I evaluate expression?
This will be an explanation of what expressions are and how to evaluate them.
Evaluating Expressions
Algebraic Expressions consist of numbers, expressions, and operations.
Evaluating ExpressionsWhat Are Expressions?
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
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).
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
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
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
For more information on evaluating expressions, please visit: sites.google.com/site/mathtimesdugas
Evaluating ExpressionsMore Information
Evaluating Powers!
By: Erin Rahe, Travis Alexander, Ashley Steinacher, Chantelle Settles
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.
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
Evaluating powers: examples
73 7x7x7=343
125 12x12x12x12x12=248,832
Thank You!!!!!!
Order of Operations
By: Dylan Barnett, Haley Duba, Selena Rios, Randy
Rabe, Taylor Cox
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
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.
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
pictures
Writing Expressions
By:Colton MillerJesse Britain Sami Avery
Olivia Schnettgoecke
Key Concepts
• To translate verbal phrases and to expressions, look for words that indicate mathematical operations
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.
Examples
“5 less than the sum of 5 and z.(5+z)-5 z=5(5+5)-5(10)-55
Examples
• “The Difference between 52 and 3 times x”• (52-3)x x=2• (49)2• 98
Example
• “5 Times the difference of 8 and x • (8-x)5 x=10• (8-10)5• (-2)5• -10
ALGEBRA USED IN REAL LIFE
There are many different ways algebra is used in real life
Here are a few
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.
Jets and Cars
JETS CARS
55mph x s hours= x miles
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