Proportion
Set up the proportion:
3oz. for $2
6oz. for $4
3oz 6oz
---- = -----
$2 $4
Definition of like terms
What are terms that contain the same variables raised to the same exponent?
The comparison of two measures, where the denominator is 1.
What is a unit rate?
Shapes whose angles are the same, and whose sides are proportional.
A whole number whose square root is an integer
What is a perfect square?
If James runs 5 miles in 2 hours, how many miles can he run in 6 hours if he runs at the same rate?
15 miles
Combine like terms:
x + 2x2 + x2 + 4x + 2
3x2 + 5x + 2
Cindy can fit 30 books on two shelves. How many books can she fit on 5 shelves?
75 books
2πr
or
πd
Circumference of a circle
How many roots does every whole number have?
2
Feliz learns to draw 3 new anime characters a month. Can she learn to draw 34 anime characters in a year?
Yes
Combine like terms:
3x2 - 2x2 - 2x + 4x
What is
x2 + 2x
Rachel makes 8 fancy origami things a week. Assuming a 4 week month, how many months does it take her to make 96 fancy origami things?
3 months
πr2
Area of a circle
Find the square root of 121
+ or - 11
Faith saves 2 grapes for Mr. Hwang every 9 days. If she started saving grapes for Mr. Hwang in September, how many grapes will she have saved by the end of the school year?
40 grapes
Combine like terms:
3x3 - 2x2 - x3 + 3x2 - 4x + 2
What is
2x3 + x2 - 4x + 2
Landon pets 132 dogs every 3 weeks. Assuming he pets at the same rate, without taking any days off, how many dogs will he pet in one year?
2,288 dogs
(Area of) faces without bases
What is lateral surface area?
Square root of x2
+ or - x
Leo and his team can perform an aircraft inspection in about 11 hours. If Leo decides that sleeping is just not for him, what is the maximum number of inspections he can perform in one month?
67 inspections
Combine like terms:
-2x + 3x2 + 6 - 4x + x2 - 3
What is:
4x2 - 6x + 3
If there are 120 lessons in a Saxon math book, how many tests will Mr. Hwang's students take by the end of the year?
24 tests
Two methods for finding lateral surface area
1. Find areas of all faces, subtract top and bottom
2. perimeter of base x height
Square root of 2
+ or - (sqrt)2