1. Today:
Submit all Outstanding Forms...
Literal & Other Equations
Review Khan Academy Topics
2. Very Impressive:
@ the Khan Academy
For Tuesday & Wednesday only…
1154 mins.
19.83 hours
3. Formulas & Vocabulary Page
1. Dimension:
The measure of a thing in a given direction.
The dimensions of a 2-dimensional object are?
Length & Width.
The dimensions of a 3-dimensional object are?.
Length, Width, & Height
2. Volume:
The amount of space, measured in cubic units, (lwh) that
an object or substance occupies.
3. Formula for the volume of a rectangular 3-dimensional
object is:
Length x Width x Height
Most grocery products are “sold by weight, not by
volume” Why?
4. Formulas:
b. Find the height of a cylinder with
volume of 3140 feet and radius of 10 ft.
5. Class Notes:
Tips for Solving Literal & Other Equations:
Literal Equations:
1. If the variable you are solving for is inside the
parenthesis, you must distribute first. 9p = 3(k + 5) for k
We need to separate the ‘k’ from the 5 in this case.
Solve the equation.
2. If the variable you are solving for is outside the
parenthesis, simply perform the opposite operation.
9 = k(p + 5) for k
3. When clearing fractions, if the denominator being
multiplied has two or more terms, it must be distributed on
the other side.
5k( 2p + 4) = 9
ퟓ풌
ퟑ
=
ퟑ
ퟐ풑+ퟒ
for p
6. Class Notes:
Class Notes:
Tips for Solving Literal & Other Equations:
4. Always check to see if every term has something in
common. You can then factor the common part out.
3kp – 7km – 9k – 1 = -7p + 10 for k
first
3kp – 7km – 9k = -7p + 11 Then,
k(3p – 7m – 9) = -7p + 11 Now What?
k= -7p + 11
(3p – 7m – 9)
7. Class Notes:
Tips for Solving Literal & Other Equations:
5. If an entire term can be factored out, replace it
inside the parenthesis with a ‘1’
2p + 8px = ? 2p(1 + 4x) check by distributing the 2p again.
6. When solving fractional equations, you may have to
clear fractions more than once.
4 – 2x =
ퟏ
ퟓ
ퟔ − ퟑ풙
ퟑ
20 – 10x = 5
ퟔ −ퟑ풙
ퟑ
Complete the first step. Now we distribute the....
Solve for x.
8. Class Notes:
Tips for Solving Literal & Other Equations:
7. Two equal fractions is called a proportion.
Proportions can be solved by cross multiplying.
The following is not a proportion.
How must this problem be
solved?
Finish It
푺+ퟒ
ퟑ
=
ퟑ푺
ퟑ
solve
12. Warm-Up: Literal Equations
Solve for a: Q = 3a + 5ac
What can be factored out of both terms?
Solve for h: A =
ퟏ
ퟐ
ah -
ퟏ
ퟐ
bh
L = 19
Find the missing dimension: P = 60
Same Rules; don’t do anything different!
Lastly, this beauty...
−ퟑ
ퟓ
ퟓ − ퟏퟎ퐱
ퟑ
ퟒ
ퟐퟒ퐱 + ퟒ
13. 3rd & 4th Periods
Warm Up
Write the equation, then solve
Rewrite using the correct formula, then solve
−ퟑ
ퟓ
Lastly, this beauty...
ퟓ − ퟏퟎ퐱
ퟑ
ퟒ
ퟐퟒ퐱 + ퟒ
푵
ퟑ
- 2
A number is doubled, and then 5 is added.
When then divided by 3, the result is 7.
A triangle has an area of 28 ft.2 and a base of 4 sq.
feet. What is the height of the triangle?
14. 1st & 2nd Periods;
Complete class work from Tuesday
Begin Mixed Equation/Formula Practice
3rd & 4th Periods;
Mixed Equation/Formula Practice