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