1. Lesson 1.5 Vocabulary Literal Equations:
Essential Question: How do I get a variable all by itself in and equation
Objectives:
To solve a formula for one of its variables
To Rewrite an equation in function form
Vocabulary
Literal Equations:
Are equations and formulas involving several variables
We have seen many literal equations this year
Samples:
D = RT
A = BH
I = PRT
P = 2L + 2W
Y = 3X + 5
V = LWH

2. Solving for indicated variable means to isolate the indicated variable by using the correct steps.ex
D = RT Solve for T Isolate the T
D = RT
Divide both sides by R
R R D R
= T ex
A = LW
Solve for L Isolate the L
A = LW
Divide by W
W W A W
= L

3. Vocabulary
Function Form:
A two variable function in which the output (range y) is isolated on one side of the equal sign.
Ex: Y = 3x + 5
Rewrite in function form. Solve for Y
x + y = 7
Subtract 3x from both sides
–3x –3x
Y = 7 – 3x or
Y = –3x + 7

4. 2. 2y + 6x = 10
Subtract 6x from both sides
–6x –6x
2y = 10 – 6x
Divide everything by 2
y = 5 –3x
y = –3x + 5 or
x – y = 12
Subtract 3x from both sides
–3x –3x
We need to solve y not –y
So divide everything by -1
–y = 12 – 3x
–1 –1 –1
y = –12 + 3x
y = 3x – 12 or

5. The opposite of squaring a number is finding its square root.
Solve for S
EX:
A = S2
The exponent and square root cancel
EX:
P = 2L + 2W solve for L
Subtract 2W
-2W W
P – 2W = 2L
Divide both sides by 2