

Equations Variable on Both Sides
Presentation
•
Mathematics
•
8th Grade
•
Medium
+1
Standards-aligned
Kenneth Weiss
Used 121+ times
FREE Resource
7 Slides • 14 Questions
1
Equations Variable on Both Sides

2
Expression Review
Expressions are made up of terms.
Terms are variables, constants, or variables with coefficients. Terms are separated with plus(+) or minus(-) symbols.
Variable:Letter of symbol
Coefficients: in front of variable
Constant: a number by itself
3
Fill in the Blank
3x + 2
What is the variable in the expression above?
4
Fill in the Blank
What is the coefficient in 3x + 2
5
Fill in the Blank
What is the constant in 3x + 2?
6
Fill in the Blank
How many terms are in
2x + 3y - 2 + 4x + 5
7
Equations
An equation is when two expressions are equal.
5x+1 is an expression
3x+5 is an expression
The image shows that the two expressions are equal.
5x+1=3x+5 is an equation.
8
Multiple Select
5x + 1 = 3x + 5
Select the expressions from the choices below.
3
3x
3x+5
5
5x+1
9
Variable to one side
Our goal is to get one variable (letter or symbol) on one side and one constant (lonely number) on the other side.
Variable(x) = constant(number)
First we remove the variables from one side, but we must do this to both sides to keep the equation balanced.
10
Multiple Choice
5x + 1 = 3x + 5
If we subtract 3x from both sides what do we get?
5x-2=3x-2
2x + 1 = 5
6x = 8x
11
Variables on one side
When we subtract 3x,
the left side has 2x left and
the right side has no x.
Now x is only on one side.
Next we need to get the constants on one side.
12
Two Step Equation
Now that we have a variable and a constant on one side and only a constant on the other side, you might notice we have a two step equation.
To solve the two step equation we need to get the variable alone by itself.
2x + 1 = 5
13
Multiple Choice
The first thing we need to do to get the variable by itself is
2x + 1 = 5
Divide by 2
Subtract 5
Divide by 5
Subtract 1
14
One Step Equation
2x + 1 = 5
After we subtract one from each side we have a one step equation.
All variables are on one side and constants are on the other
All we need to do now is isolate the variable.
2x = 4
Divide both sides by 2 and get
x = 4
15
Multiple Choice
2x + 5 = 3x -2
If I subtract 2x from the right side what equation would I get?
5=x-2
2x+3=3x
5=3x-2
2x+5=-2
16
Fill in the Blank
Solve for x
3x = 9
17
Fill in the Blank
Solve for x
2x + 3 = 9
18
Fill in the Blank
Solve for x
3 + 4x = 19
19
Fill in the Blank
Solve for x
2x + 4 = 3x + 2
20
Fill in the Blank
Solve for x
-2x + 1 = 3x + 16
21
Fill in the Blank
Solve for x
3x + 8 = 6x - 7
Equations Variable on Both Sides

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