
Solving One- and Two-Step Equations
Presentation
•
Mathematics
•
7th - 8th Grade
•
Practice Problem
•
Medium
Standards-aligned
Stacy Strickland
Used 1K+ times
FREE Resource
8 Slides • 11 Questions
1
Solving One- and Two-Step Equations
A Quick Review
2
Linear Equations
An equation that contains one variable
Used to solve for an unknown value that makes the equation true.
3
Solutions to Linear Equations
When you solve a linear equation, you are trying to find the unknown value (represented by the variable).
You must keep both sides of the equation balanced by performing equal operations to both sides of the equal sign.
4
Solving Linear Equations
To solve an equation, you must undo the equation by using inverse operations.
The order of the operations you perform is important.
5
Multiple Choice
Which operation would you use to undo the following equation to solve for x?
x + 5 = 8
Addition
Subtraction
Multiplication
Division
6
Multiple Choice
Which operation would you use to undo the equation and solve for x?
5x = - 20
Addition
Subtraction
Multiplication
Division
7
Multiple Choice
Which operation would you use to undo the equation and solve for x?
Addition
Subtraction
Multiplication
Division
8
Multiple Choice
Which operation would you use to undo the equation and solve for x?
x - 9 = -10
Addition
Subtraction
Multiplication
Division
9
Solving Two-Step Equations
These equations are called "two-step" because the equation involves more than one operation.
The equation must be solved by undoing the order of the operations.
10
Inverse Order of Operations
To solve an equation with more than one operation, remember to work PEMDAS backwards!
11
Multiple Select
What two operations are shown in the equation 8b+5=29?
Addition
Subtraction
Multiplication
Division
12
Inverse PEMDAS
This equation contains multiplication (8b) and addition.
To solve this equation, we undo the equation by working PEMDAS backwards and doing inverse operations.
REMEMBER, when you solve an equation, anything you do to one side, you must do to the other side. It must stay balanced
13
Multiple Choice
Which operation would you perform first to undo the equation −3x+10=28 ?
Addition
Subtraction
Multiplication
Division
14
Multiple Choice
Which operation would you perform SECOND when trying to solve the equation −3x+10=28 ?
Addition
Subtration
Multiplication
Division
15
Multiple Choice
Solve the equation: −4x+1=21
x= 120
x= 5
x= 30
x= -5
16
Multiple Choice
Solve the equation: 3c+5=23
c = 3
c = 6
c = 7
c = 18
17
Multiple Choice
Solve the equation: 5x+4=−6
x= 2
x= -2
x= 10
x= 15
18
Equations with Distributive Property
If you see a set of parentheses in an equation, you will most likely need to simplify the expression by using the distributive property
Distribute to remove the parentheses and then solve using inverse operation
19
Multiple Choice
Solve the equation: 4 = 2(x + 3)
21 =x
27 = x
-1 = x
5 = x
Solving One- and Two-Step Equations
A Quick Review
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