ratios
What are the three ways to write a ratio?
Using a colon a:b, as a fraction a/b, or using the word "to" a to b
solve for x in the proportion: frac{3/5} = \frac{18}{x}\)
x = 30
What is the formula for the Pythagorean Theorem?
a^2 + b^2 = c^2
n a function, can an "input" (x-value) have more than one "output" (y-value)?
no
How many cones will fit inside a cylinder if they have the same radius and height?
3 cones
If the ratio of cats to dogs is 4:3 and there are 12 dogs, how many cats are there?
16 cats
A recipe calls for 2 cups of sugar for every 3 cups of flour. How much sugar is needed for 6 cups of flour?
4 cups.
A right triangle has legs of 3 and 4. What is the length of the hypotenuse?
5 units
Is the set (-2,5), (7,8), (9,0) a function?
Yes, each input has exactly one output.
What is the volume of a cylinder with a radius of 3 in and a height of 5 in ?
141.3
What are the three different ways to write the ratio of 5 apples to 7 oranges
5:7, 5 to 7, or 5/7
If Jimmy earns $72 in 6 hours, what is his hourly unit rate?
If a right triangle has a leg of 5 and a hypotenuse of 13, what is the length of the other leg?
12 units
Is the set (2,0), (2,8), (3,0), (3,8) a function
No, the inputs 2 and 3 both have two different outputs.
What is the volume of a sphere with a radius of 9mm?
Approximately 3,052.08 mm^3
Simplify the ratio 12:18 to its simplest form
3
True or False: A proportion is an equation stating that two ratios are equal
John walks 6 blocks North and 8 blocks West. How far is he from his starting point "as the crow flies"?
10 blocks
What is the slope of the equation (y = -1/3x + 4)
-1/3
A cone has a radius of 9 and a height of 6. What is its volume
508.68 units^3
In a bag of marbles, the ratio of blue to red is 2:5. If there are 35 marbles total, how many are blue?
10 blue marbles
A 6-foot tall man casts a 4-foot shadow. At the same time, a nearby tree casts a 20-foot shadow. How tall is the tree
30 feet tall
A 10-foot ladder is leaning against a wall. The base of the ladder is 5 feet from the wall. What is the approximate height the ladder reaches on the wall?
8.7 feet
What test can you use on a graph to determine if it represents a function
The vertical line test.
An oblique cylinder has a diameter of 14 units and a volume of 1,176pi. What is its height?
24 units.