Download Topic Two: Equivalent Expressions

Grady Frazier
BOOK: Say it with Symbols Summary
Topics:
 Topic One: Order of Operations
 Topic Two: Equivalent Expressions
 Topic Three: Commutative Property, Rearrangement Property, and equivalent
expressions
 Topic Four: Solving Equations
Things to Know for Topic One: Order of Operations
 Solve for X
 Plug N’ Chug
 Linear Equations
 Exponential Graphs and Equations
 Finding Profit
 PEMDAS
Things to Know for Topic Two: Equivalent Expressions
 How to find Perimeter
 Factored and Expanded Form
 How to Write Equivalent Expressions
Things to Know for Topic Three: Commutative/ Rearrangement Property and
Equivalent Expressions
 Distributive Property
 Commutative Properties Addition and Multiplication
 Rearrangement Properties of Multiplication and Addition
 Estimating Profit
 Finding the Area of Trapezoids
 Writing Quadratic Expressions
Things to Know for Topic Four: Solving Equations
 Comparing Linear Equations
 Symbolic Method
 Solving Linear Equations
 Solving Quadratic Equations
VOCABULARY
Order of Operations: PEMDAS(Parenthesis/Exponents/Multiplication/Division/Addition/Subtraction)
Equivalent expressions: two expressions that have the same value.
Distributive property: distributing expressions using addition and multiplication.
Commutative property of addition: switching the numbers in an equation.
Commutative property of multiplication: switching the order of multiplication in
equations.
Roots: how x and y equal zero.
Expanded form: the long version of an equation.
Factored form: the short version of an equation.
Parabola: quadratic function.
Term: an expression
Example Problems
Topic One: Order of Operations
The Ski club is planning a trip for the winter break. They wrote the equations
C=200+10n. To estimate the cost in dollars of the trip if n students attend.
1. Grady and Dillon both use the equation to estimate the cost of 50 students. Grady said the cost would
be10,500, Dillon said it would be 700.
a. Determine what estimate would be the best way to show the correct calculations for the
equations?
Dillons estimate would be best..
b.
How do you think Grady and Dillon found such different estimates if they both use the same
equations? They put in different numbers
Topic Two: Equivalent Equations
1. a. How many 1-foot square tiles are needed to form a border for a pool that is10ft. long and 5ft wide. 30
tiles……. 10+10=20 5+5=10 10+20=30
b. Write an expression for the number of border tiles needed for a pool that is L feet long and W feet
width.n = number of tiles n = (L * 1)(W * 1)
Topic Three: Some Important Properties
1. a. Write two expressions. For the number of tiles needed explain why your expression are equivalent.
N= (L*1)(w*1)
1(w+L)
Topic four: Solving equations
1a. Use an area model to find the factored form of the expression. X ^2 + 8x +15
8x^3+15
b. Use the answer to help you to solve the equation. X^2+ 8x + 15 = 0
Topic five: writing expressions for surface area
1a. write an equation for the surface area of a stack of n staggered rods if each rod is 12 units long.
b.if the surface area of a particular stack of these rods is 162 spuare units, how many rods are in the stack?
c. write an equation for the volume of a stack of n of t