Two Step Equations

Two Step Equations

Our Goal

• Isolate the variable on one side of the equal sign

Multiple Choice

What does isolate the variable mean?

• Get the variable alone

• Get rid of the variable

Our Strategy

• Keep it balanced

• What you do to one side, do to the other

• "Copy and Paste"

Use Inverse Operations to isolate the variable

• Inverse of addition - subtraction

• Inverse of subtraction - addition

• Inverse of multiplication - division

• Inverse of division - multiplication

Multiple Choice

What is the inverse of multiplication?

• Addition

• Subtraction

• Multiplication

• Division

3x - 6 = 12

• Add 6 to both sides: 3x = 18

• Divide both sides by 3: x = 6

• Check: 3(6) - 6 = 18 - 6 = 12

Check:  4(2.5) + 5 = 10 + 5 = 15

Multiple Choice

12g - 5 = 19

Which is the correct 1st step?

• Add 12 to both sides

• Add 5 to both sides

• Add 19 to both sides

Multiple Choice

$$12g-5=19$$  

$$\ \ \ \ \ \ \ +5\ \ \ \ +5\ \ \ \ \ \ \ \$$  
$$12g\ \ \ \ \ \ \ =\ 24$$  
What is the next step?

• Multiply both sides by 12

• Divide both sides by 12

• Multiply both sides by 24

• Divide both sides by 24

Multiple Choice

2t -7 = 3

Find the value of t

• -2

• 2

• 5

• 20

Multiple Choice

What is the reciprocal of  $$\frac{2}{5}$$  

• $$-\ \frac{2}{5}$$  

• 0.4

• $$\frac{5}{2}$$  

Multiple Choice

$$\frac{2}{5}\ h\ +\ 6\ =\ 8$$  


What is the first step that should be done to both sides?

• +6

• -6

• +8

• -8

Multiple Choice

$$\frac{2}{5}\ h\ =\ 2$$  


What is the second step that should be done to both sides? 

• $$+\ \frac{5}{2}$$  

• $$-\ \frac{5}{2}$$  

• $$\cdot\ \frac{5}{2}\$$  

• $$\div\ \frac{5}{2}$$  

Multiple Choice

$$\frac{2}{5}\ h\ =\ 2$$  

What is the value of h?

• $$\frac{4}{5}$$  

• $$2\ \frac{2}{5}$$  

• 2

• 5

Multiple Choice

$$\frac{2}{3}x\ +\ 1\ =\ \frac{5}{3}$$  

What is the value of x?

• 0

• 1

• 2

• 3

Independent Practice

You Do

Work on your own through the remainder of the slides. Let me know if you need help.

Multiple Choice

10 = 2d - 5

What is the value of d?

• 2.5

• 7.5

• 15

• 20

Multiple Choice

4x + 7 = 23

• x = 16
• x = 4
• x = 9
• x = 12

Multiple Choice

Solve for a

• a= -2

• a= -6

• a= 3

• a= 15

Multiple Choice

$$5x-1=19$$  

• $$x=4$$  

• $$x=10$$  

• $$x=5$$  

• $$x=15$$  

Multiple Choice

$$\frac{x}{4}+8=10$$  

• $$x=-4$$  

• $$x=-8$$  

• $$x=8$$  

• $$x=16$$  

Multiple Choice

-4x+1=21

• x=120
• x=5
• x=30
• x=-5

Multiple Choice

Solve.

• x = 12

• x = 24

• x = 4

• x = 9

Multiple Choice

Solve.

• n = 9

• n = 18

• n = 21

• n = 3