Solving and Writing 2 Step Equations

Solving and Writing 2 Step Equations

Solving Equations

Getting the variable by iteself using inverse operations

Remember to use the inverses when crossing the equal sign

addition/subtraction (positive to negative, vice versa)

division/multiplication (top to bottom, Vice Versa)

Multiple Choice

What is the inverse operation needed to solve for x in this problem $\ \frac{1}{8}x=\ 5$  

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

 $\frac{3}{7}k\ =\ \frac{12}{25}$  

•  $\frac{36}{175}$  

•  $\frac{75}{84}$  

•  $1\ \frac{3}{25}$  

•  $\frac{84}{75}$  

2 - Step Equations

• Add and Subtract first

• Multiply and divide second

• Remember you are getting the variable by itself

Multiple Choice

Solve the following equation

 $3-\frac{x}{2}=\ 9$  

• x = 12

• x = 24

• x = -12

• x = -24

Multiple Choice

What is the first step in solving the following equation?

 $\frac{x}{7}-8\ =24$  

• Multiply by 7 to both sides of the equation

• Add 8 to both sides of the equation

• Subtract 8 to both sides of the equation

• Divide by 7 to both sides of the equation 

Multiple Choice

What is the first step in solving the following equation?

 $8−2x=12$  

• Add 8 to both sides of the equation

• Subtract 8 to both sides of the equation

• Add 2 to both sides of the equation

• Subtract 2 to both sides of the equation

Multiple Choice

Solve the equation:

-3x+5=20

• $-\frac{25}{3}$

• 5

• -45

• -5

Writing Equations

Translate all the math terms into words, being sure to use the correct operation and order

Multiple Choice

r divided by 8 is 9

• $\frac{r}{8}=9$

• $r=\frac{r}{8}$

• $\frac{8}{r}=9$

• $9=\frac{8}{r}$

Multiple Choice

9 increased by m is 15

• m + 15 = 9

• 9 x m = 15

• 9 + m = 15

• 9 + 15 = m

Multiple Choice

Eight less than 7 times a number is the same as 4 more than 3 times the number

• x + 3 = x

• 8 - 7x = 4 + 3x

• 8 = x + 4 + 3

• 7x - 8 = 3x + 4

Multiple Choice

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation to find out how many hours, h, they rented the Boat if the total cost was $33.

• h = 2(9) + 15

• h = 15(9) + 2

• 33 = 15h + 2

• 33 = 2h + 15

Poll

Stoplight Review - How do you feel about today's lesson?

• Green Light - Good to Go

• Yellow Light - I will get it with practice

• Red Light - I don't know what you were talking about