One and Two-Step Equations

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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.

Multiple Choice

What is the inverse operation you would use to solve:
6x = 36

• Multiply

• Divide

• Add

• Subtract

Multiple Choice

What is the first step in solving

$$\frac{x}{4}=5$$  ?

• add 4 to both sides

• subtract 4 from both sides

• multiply both sides by 4

• divide both sides by 4

Multiple Choice

What is the inverse operation needed to solve for p?
765 = p - 254

• subtraction

• addition

• multiplication

• division

Multiple Choice

What is the inverse operation of subtraction?

• Subtraction

• Multiplication

• Division

• Addition

Match

Match the following the operation to its inverse

• Addition

• Subtraction

• Multiplication

• Division

Subtraction

Addition

Division

Multiplication

• Subtraction

• Addition

• Division

• Multiplication

Multiple Choice

What is the inverse operation you would use to solve:
6x = 36

• Multiply

• Divide

• Add

• Subtract

Fill in the Blank

$$\frac{x}{3}=10$$  

Fill in the Blank

$$\frac{x}{8}=2$$  

Multiple Choice

5+m=10

• 5

• 3

• 7

• 10

Multiple Choice

Solve for x:

• x = 20

• x = 7

• x = 10

• x = 3

Multiple Choice

2n=120

• n=10

• n=60

• n=20

• n=100

Multiple Choice

x - 6 = -8 

• 14

• -14

• -2

• 2

Multiple Choice

What is the first step in solving x - 7 = 9

• add 7 to both sides

• add 9 to both sides

• subtract 9 from both sides

• subtract 7 from both sides

Fill in the Blank

$$-6x=48$$  

Multiple Choice

Solve for x:

• x = 20

• x = 7

• x = 10

• x = 3

Multiple Choice

Solve for x.

• x=4

• x=11

• x=6

• x=5

​TWO STEP EQUATIONS


READ THE NOTES.
THEN ANSWER THE QUESTIONS
OR SOLVE THE PROBLEM IN TWO STEPS

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.

Essential Understanding

• you are solving by forming equivalent equations.

• a 2-step equation involves two operations to undo

• you will undo the operations in reverse order

Inverse Order of Operations

To solve an equation with more than one operation, remember to work PEMDAS backwards!

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

​EXAMPLES OF 2 STEP EQUATIONS.



ADD/SUBTRACT FIRST
MULTIPLY/DIVIDE SECOND

​YOUR TURN!


SHOW WHAT YOU KNOW!

Multiple Choice

Solve for x.

• x=3

• x=-3

• x=2

• x=5

Multiple Choice

$$Solve\ \frac{x}{2}\ +\ 5\ =\ 11$$  

• x = 12

• x = -12

• x = 8

• x = -8

Multiple Choice

3f - 12 = -3

• 3

• -3

• 11

• 12

Multiple Choice

3x - 10 = 14

• x = $$\frac{4}{3}$$

• x = 8

• x = 134

• x = 24

Multiple Choice

-16+ x= -15

• 2

• 0

• -1

• 1

Multiple Choice

5x+4=^-6

• 2

• -2

• 10

• 15

Multiple Choice

Solve for x.

$$-14\ =\ 9\ +\ \frac{x}{2}$$  

• -32

• -23

• -46

• -4

Multiple Choice

Solve for s.

9 = 2s + 1

• 4

• -4

• 3.5

• 5

Multiple Choice

What is the solution to: $$5x+3=33$$  

• $$x=-6$$  

• $$x=\frac{36}{5}$$  

• $$x=30$$  

• $$x=6$$  

Poll

How did you feel about today's lesson?

• I'm completely lost

• I was a little confused

• I understand most of it

• I got this!