Intro to literal equations

Literal Equations

Module 1 Lesson 6 introduction

​What are literal equations??

​Literal equations are just equations with more than one variable!

​

​They look like this...

​

y=mx+b

​

​d=rt

​

​A = L x W

​How do we solve these??

​We will perform the inverse (opposite) operation to get the variable we are solving for by it's self.

​

​Lets review inverse operations!

​-The inverse of addition is....

​-​The inverse of multiplication is...

​-The inverse of subtraction is...

​​-The inverse of division is...

Multiple Choice

what is the inverse (opposite) of addition?

• subraction

• multiplication

• division

• addition

Multiple Choice

what is the inverse of division?

• subtraction

• addition

• multiplication

• division

​Lets try together! Solve for a.

​a-b=c

*add b to both sides

*treat variables like numbers

*operations are the same

*different variables cannot be combined​

Answer: a = c + b​

​Ask yourself "what opperation is being done to the variable I'm solving for?"

​"what is the opposite opperation?"

Multiple Choice

solve for x:  x-y=z

• x=z/y

• x=z+y

• x=z-y

• z=xy

​What is the opposite of multiplying? Solve for a.

​ab=c

*divide each side by b

Answer: a = c/b​

Multiple Choice

solve for x: xy=z

• x=z-y

• x=z/y

• x=y+z

• y=zx

​ What is the opposite of division? Solve for a.

Multiple Choice

Solve for x:  $$\frac{x}{y}=z$$  

• y=xz

• x=zy

• x=z-y

• x=z+y

​What if there is multiple terms I need to move??

​Always undo any addition or subtraction FIRST.

​Next, undo any multiplication or division!

​2a+b=c

​

Multiple Choice

$$w=em+y$$  Solve for y

• $$y=w-em$$  

• $$y=w+em$$  

• $$y=\frac{w}{em}$$  

• $$y=wem$$  

Multiple Choice

$$V=lwh$$  solve for h

• $$h=Vlw$$  

• $$h=\frac{l}{Vw}$$  

• $$h=\frac{V}{lw}$$  

• $$h=\frac{w}{lV}$$  

Multiple Choice

$$am+xy=c$$  solve for y

• $$y=\frac{c-am}{x}$$  

• $$y=\frac{c+am}{x}$$  

• $$y=c-amx$$  

• $$y=\frac{c-x}{am}$$  

Multiple Choice

$$p=ax+g$$  Solve for x

• $$x=ap+g$$  

• $$x=\frac{p-g}{a}$$  

• $$x=\frac{p+g}{a}$$  

• $$x=ap-g$$