2016-09-21 literal equations .notebook

2016­09­21 literal equations .notebook
September 21, 2016
Today is Wed
9/21
Do Now:
-Take out HW
-Quiz on Friday (Yes extra help)
-Copy Tonight's HW
Student Journal Page 25-26 all
questions
HW Answers
1. No. There is no solution
2. Distribute, subtract 4x from both sides,
add 24 to both sides, divide each side by 5
to get x = 6
3. x = 3
13. x = ­3
5. p = 7
15. y = ­12
7. t = ­1
19. no solution
9. x = 1/2
21. one solution, h = 3
11. g = ­2
23. infinitely many
2016­09­21 literal equations .notebook
September 21, 2016
2016­09­21 literal equations .notebook
September 21, 2016
Today's Objective
Rewriting Equations and Formulas
"Literal Equations"
2016­09­21 literal equations .notebook
September 21, 2016
Brainstorm....
Useful formulas you've used in the past
You can use the equation-solving techniques
from earlier lessons to rearrange formulas
and solve for a specific variable symbol
Example:
If I know that the area of a rectangle is 8
and that the length is 4. I can solve for the
width by rearranging the formula
A = lw
A
w= l
2016­09­21 literal equations .notebook
September 21, 2016
Exercise 1
Solve the equations for x.
2x - 7 = 5
ax - b = c
Did you have to do anything different in
the last case?
Remember
Variables are place holders for numbers
When solving equations with several
variables, you use the same properties and
reasoning as with single-variable equations.
2016­09­21 literal equations .notebook
September 21, 2016
Write 3x + 2y = 8 so that y is a function of x.
(solve for y)
Write 5x + 4y = 20 so that y is a function of x.
(solve for y)
Rearrange each formula to solve for the
specified variable.
a) Given A = P(1 + rt)
i) Solve for P
ii) Solve for t
2016­09­21 literal equations .notebook
September 21, 2016
b) Given K = 1 mv2
2
i) Solve for m
ii) Solve for v
Equations with more than one variable:
Example :
Solve for x in terms of a, b, c
ax + bx = c
2016­09­21 literal equations .notebook
September 21, 2016
Summary
1.How is rearranging formulas the same as solving
equations that contain a single variable symbol?
2.How is rearranging formulas different from solving
equations that contain a single variable symbol?
2016­09­21 literal equations .notebook
September 21, 2016