Ratios
Name three ways to write a ratio.
using the word 'to'
using a colon
as a fraction
Jim can buy 2 cakes for $40. At that rate, how much will it cost to buy 4 cakes?
$80
1/3 x 3/4 in simplest form.
1/4
Evaluate 2 + 3n when n = 4
14
A letter that takes the place of an unknown number
variable
There are 30 students in Mr. Baker’s music class. One day, 12 students played the recorder. What was the ratio of students who played the recorder to students who did not play the recorder?
12:18
Phil bought a pack of 8 hamburger buns for $1.20 . What is the cost per bun?
$0.15 per bun
Chloe has 4 1/2 cups of ice cream. One full serving is 2/3 of a cup. How many full servings does Chloe have?
6 full servings
Evaluate 4(w-3) + w if w=7
23
Two numbers that are the same distance from 0 on the number line.
Opposites
There are 32 students in Maria's class. One day, Maria brings 50 cookies to share with the class, 7 students are absent that day. What is the ratio of cookies to students?
2 cookies to 1 student
A batch of homemade playdough calls for mixing 1 cup of water, 4 cups of flour, 3 tablespoons of oil, and 2 cups of salt. Sally has only 1 cup of flour but still wants to make a smaller batch. How much oil, in tablespoons, should she use?
3/4 tablespoons
Sandi cuts a 5 1/2-foot board into pieces that are each 1/2 foot long. How many pieces will she have when she is done?
11 pieces
17
The total measurement of the outside of a figure
perimeter
Maurice raises Labrador retriever puppies. On average, out of every 14 puppies, 3 are yellow and 11 are black. Maurice estimates 42 puppies will be born next year. What is the expected number of yellow puppies that will be born?
9 yellow puppies
Miles bought the Russian novel Anna Karenina. His paperback edition contains 992 pages. It takes him 3 days to read the first 50 pages. At this rate, about how many days will it take Miles to read the entire novel?
60 days
Carlos is baking a cake. He is using a 3/4 cup measuring scoop to add sugar to his cake mix. The recipe calls for 3 3/4 cups of sugar. How many scoops of sugar will Carlos need to use for the recipe?
5 scoops of sugar
Evaluate (4x + 9) - 4(x - 1) + x when x = 7
20
The amount of space occupied by any three- dimensional solid
volume
A day care center has 7 teachers for their after-school program. Currently, 42 students are enrolled in the after-school program. The center plans to divide the students equally among the teachers. If 7 more students enroll in after-school program, what would be the ratio of students to teachers?
7 students per teacher
While walking up a hill, Sue takes 300 steps to reach an altitude of 330 feet. The average height of each of Sue’s steps is the same. If Sue continues up the hill, how many total steps must she take in order to reach an altitude of 1,210 feet?
1,100 steps
A cook at a diner serves rice with the Salisbury steak. Each bag of rice contains 2 1/4 cups, and the cook plans on using 1/3 of a cup for each serving. How many total servings of rice are in the bag?
6 3/4 total servings
Evaluate x2 + 10x + 24 when x = 3
63
a four sided rectangular figure with opposite sides that are parallel
parallelogram