Formulas/Vocabulary
Expressions & Equations
Probability
Ratios and Proportions
Assorted
100
What is the formula to find the area of a triangle?
1/2 x base x height
100
Solve: 5x + 4 = 19
x = 3
100
In a bag, there are 4 red skittles, 6 yellow skittles, 5 blue skittles, and 3 orange skittles. What is the probability a yellow skittle will be picked? SIMPLIFY!
1/3
100
The ratio of girls to boys at a school is 2:3. If there are 120 girls, how many boys are there?
180 (set it up as a proportion and cross multiply to solve!)
100
What is the volume of a rectangular prism with a length of 5 ft., a width of 10 ft. , and a height of 1.5 ft.?
75 ft cubed
200
How do we find the perimeter of a shape?
Add up the lengths of all of the sides
200
Solve: x/3 - 8 = 1
x = 27
200
There are 12 boys and 14 girls in a class. The teacher puts all of the students' names in a hat. What is the probability she will pick a boy? Simplify.
6/13
200
If 1 dozen eggs costs $4.32, what is the price per egg?
$0.36
200
What is the surface area of a cube with a side length of 6 meters?
216
300
If the radius is 7.4 inches, what is the diameter?
14.8 inches
300
Simplify: 4(2x + 3) + 3x - 6
11x + 6
300
You have two dice. What is the probability of rolling an even number on one, and a 4 on the other?
1/12 (We have to multiply the two probabilities to find the COMPOUND probability!)
300
Sara buys a pack of 4 pencils for $.72 cents. What is the unit price?
$0.18
300
I want to buy a $70 pair of shoes. There is a 5% sales tax. How much will the shoes be after tax?
$73.50 --> If you don't have a calculator, multiply .05 x 70 to find the tax!
400
What is the formula for the area of a circle?
A = Pi x radius squared
400
Solve: 2x + 4x + 5 < 17
x < 2
400
At a sandwich shop, you can can pick one of each of the following. Bread: White or Wheat, Meat: Turkey, Ham, or Chicken, Cheese: Cheddar or American. What is the probability someone will pick white, turkey, and cheddar?
1/12 (The probability of picking white is 1/2, the probability of picking turkey is 1/3, and the probability of picking cheddar is 1/2. To find the probability of picking all 3, we have to multiple these probabilities together! There are 12 different options)
400
Suppose that a butterfly can fly 82 feet in 4 seconds, and a dragonfly can fly 50 feet in 2 seconds. Which is faster and by how much?
The dragonfly is faster by 4.5 feet per second. (Dragonfly is 25 fps and butterfly is 20.5 fps)
400
Simplify: 4x + 6(x - 2) + 14
10x + 2 (Once we distribute, we will have 4x + 6x - 12 + 14. We can combine 4x + 6x to be 10x, and we can combine -12 + 14 to be +2)
500
What is the formula for the circumference of a circle?
C = Pi x Diameter
500
Solve: -7x - 9 < 12
x > -3 (we had to flip the sign since we divided by a negative!)
500
At an ice cream shop, there are 7 flavors, 4 toppings, and 2 cones. If a customer can pick one of each, how many different combinations can be made?
56 (The probability of picking a flavor is 1/7, topping is 1/4, cone is 1/2. If we multiply these together, we get 1/56, which means there are 56 total options)
500
Mr. Adams had 24 guests at his house for a party. Each guest brought one item. One-third of the guests brought drinks, one-fourth of the guests brought a dessert, and the rest brought sides. How many guests brought sides?
10
500
Betty makes pies. To make 6 pies, she used 7.8 cups of flour. How many cups of flour are needed to make 1 pie?
1.3 cups