2.1/2.2 Notes
One and Two Step Equations
Name:________________________
Date:_________________________
Objectives:
2.1 – SWBAT solve real world one step equations.
2.2 – SWBAT solve real world two step equations.
2.1 Solving One Step Equations
___________________ __________________ are equations that have the same solution(s). You can
find the solution of a one-step equation using the properties of equality and inverse operations to write a simpler
equivalent equation.
Properties!!!!
Addition Property of Equality – Adding the same number to each side of an equation produces an equivalent
equation.
Algebra
Example
Subtraction Property of Equality – Subtracting the same number from each side of an equation produces an
equivalent equation.
Algebra
Example
To solve an equation you must _________________ the variable. You do this by getting the variable
with a coefficient of 1 alone on one ____________ of the equation.
An _________________ __________________ undoes another operation. For example subtraction is
the inverse of ____________________ and multiplication is the inverse of ____________________.
Example 1
What is the solution of x+13=27?
Think
You need to isolate x. Start by writing the equation.
Undo addition by subtracting the same number from
each side.
Simplify
Check your answer
Write
Example 2
What is the solution of -7=b-3?
Properties!!!!
Multiplication Property of Equality – Multiplying each side of an equation by the same nonzero number
produces an equivalent equation.
Algebra
Example
Why do you think the above property says nonzero?
Division Property of Equality – Dividing each side of an equation by the same nonzero number produces an
equivalent equation.
Algebra
Example
What did the inverse property of multiplication say?
Example 3 – Using Multiplication
x
What is the solution of  9 ?
4
Example 4 – Using Division
What is the solution of 4x=24?
Solve example four using multiplication!!!
Example 6 – Using the Multiplication Inverse (a.k.a. the reciprocal)
4
What is the solution of m  20 ?
5
Example 7 – Word Problem!!!!!
A point is a unit of length that can be used to measure the
distance between two lines of text. Font sizes are often stated in points.
Capital letter measure two thirds of the stated point size, as shown in
the diagram for a font size of 48 points. There are 72 points in 1 inch.
What point size produces capital letters that are ½ inches tall?
Write a Verbal Model
Write an Equation
Solve!!
You Try!!
In your workbook page. 39 #1, 3, 5, 7, 11, 13, 15, 17
2.2 – Solving Two Step Equations
When solving an equation that has ______ or _________ operations, we need to solve them in the
correct order. A good rule of thumb is to always “deal” with ___________________ or ________________
first.
Example 8
What is the solution of 2x+3=15?
Check
Example 9
You are making a bulletin board to advertise The Red Sea events here at HHS. You plan to use half a
sheet of construction paper for each add. You need 5 sheets of construction paper for a title banner. You have
18 sheets of construction paper. How many ads can you make?
Know
Need
Let a = the number of ads you can make.
Example 10 – Solving with two terms in the numerator
x7
 12 ?
What is the solution of
3
What operation should you perform first? __________________
You Try!!!!
In your workbook page 42 – Think About Plan.
Plan