VOCAB
Less Than , More Than or Equal to
Inequality
3 times a value "x" less than 5
5 - 3X
10 = 2 ( 3 - X )
10 = 6 - 2 X
- 6 - 6
4 / - 2 = - 2X / - 2
-2 = X
Harlie made $ 150 after working several hours.
She was paid $ 7.50 hourly.
She also got a bonus of $ 15, while she worked.
Write the equation and solve "H" for hours.
150 = 7.5H + 15
- 15 - 15
135 = 7.5H
18 = H
Rate of Change is the Coefficient
Y = M X , or Y = M X + B
Slope Intercept Form
Change in Y / Change in X
Rise / Run
Fence Between
Terms
addition or subtraction signs only
half of the product of 4 times "y"
TRANSLATE only
do NOT simplify
4Y / 2 or 1/2 ( 4Y )
3 X / 2 - 5 = 4
3 X / 2 - 5 = 4
+ 5 + 5
3 X / 2 = 9
3 X = 18
X = 6
Fluffy the Iguana should eat 3.5 ounces of veggies each day.
Her owner left a bowl of 24.7 ounces in her cage.
If Fluffy ate 2.75 ounces this morning, how many more days of food are remaining ?
24.7 = 3.5 D + 2.75
- 2.75 - 2.75
21.95 / 3.5 = 3.5 Days / 3.5
6.27 = D
6 more days ( not 7 days ! )
X axis does not show exact data
HISTOGRAM
"range" or "bins" or "width"
Backwards Process
Inverse Operations
to solve for a variable
S A D M E G
there is no equal sign
there is no < or >
expression
- 5 = 1/2 ( X - 4 )
- 5 = X / 2 - 2
+ 2 + 2
- 3 = X/2
- 6 = X
Your goal is to run 37 miles in less than a week.
If you run the same distance for 4 days, and 3 miles on Friday, what mileage should you run each of those 4 days ?
37 = 4 M + 3
-3 - 3
34 = 4M
/ 4 / 4
8.5 = M
3 pounds of candy for $ 2.95
1 pound of candy for ______
UNIT RATE
2.95 / 3 = 0.98333
$ 0.98 for ONE pound