Ratios / Proportional & Linear Relationships
To make fruit punch, Priya mixes 3 scoops of powder with 5 cups of water. Mai mixes 4 scoops of powder with 6 cups of water. The powder is sold in packages containing 10 scoops of powder.
This is the total number of packages you will buy so Priya and Mai can each make fruit punch with 30 cups of water.
What is four packages of powder?
A net is made of a square with side of 4 and a four triangles with base of 4 and height of 7.
This is the name of the polyhedron and its surface area.
What is a square pyramid and 72 units squared?
There is a rectangle with a perimeter of 28.
This is the expression relating the length and width to the perimeter and 2 possible lengths and widths.
What are 2l + 2w = 28 and length 9 width 5; length 8 width 6; length 7 width 7?
A stack of 200 file folders is 5.125 inches tall.
This is the thickness of each file folder.
What is 0.025625?
The mean of four numbers is 40. Three of the four numbers are 35, 41, and 41.
This is the fourth number
What is 43?
A recipe for a smoothie calls for 5 cups of strawberries for every 2 cups of bananas.
These are two equations that could represent this situation.
What are s = 5/2b and b = 2/5s?
A painter needs to paint the bottom of a circular pool. The pool has a radius of 30 feet.
A store sells 5-gallon cans of paint. One gallon of paint covers 300 square feet.
This is the smallest number of 5-gallon cans the painter needs to buy.
What is 2 5-gallon cans of paint?
Priya is simplifying the expression -2(4 - 2x) - 3 - 2x
She writes:
-8 - 2x - 3 -2x
-11 - 4x
This is the mistake Priya made
What is distributing should make -8 + 4x?
A scuba diver is diving at a constant rate when her team on the surface requests a status update. She looks at her watch which says her elevation is 18 feet below sea level. 8 seconds later, her elevation is 20 feet below sea level.
This is the number of minutes and seconds more it will take for her to reach 50 feet below sea level and then return to the surface.
What is 5 minutes and 20 seconds?
Ten students took a history quiz. This list shows how many questions each student answered correctly.
9 6 8 10 5 8 10 7 9 8
This is the interquartile range
A truck is shipping jugs of drinking water and cases of paper towels. A jug of drinking water weighs 40 pounds and a case of paper towels weighs 16 pounds. The truck can carry 2,000 pounds of cargo altogether.
This is the equation relating jugs of drinking water and cases of paper towels.
What is 40w + 16p = 2000?
Cylinder A has a radius of 4 and a height of 18
Cylinder B has a diameter of 5 and a height of 5
This is the difference between the volumes of the cylinders
What is 806 cm3?
There are 50 athletes signed up for a neighborhood basketball competition. Players can select to play in the 6-player games (“3 on 3”) or the 2-player games (“1 on 1”). A total of 13 games will be played.
This is the system of equations that represent this situation.
What is x + y = 13 and 6x + 2y = 50?
This is the order of the following numbers from least to greatest
square root of 36, cube root of 27,cube root of 16, square root of 10, square root of 8, cube root of 64
What is the cube root of 16 , square root of 8 , cube root of 27 , square root of 10 , cube root of 64 , square root of 36?
The school bookstore surveyed a random sample of 10 students on whether they prefer to use a metal or plastic pen. Here were the results:
metal, metal, metal, plastic, plastic, metal, plastic, plastic, plastic, plastic
This is the proportion of all students who prefer metal
What is 4/10 or 40% or 0.4?
These are three solutions to the equation
40w + 16p = 2000
What are (10, 100) (30, 50) and (50, 0)?
A vendor at a street fair sells popcorn in cones, all of height 9 inches. The sharing-size cone has 3 times the radius of the skinny-size cone. This is the number of times popcorn does the sharing cone hold than the skinny cone
What is 9 times more?
This is the only solution to the system of equations x + y = 13 and 6x + 2y = 50
What is (6,7)?
A cone-shaped paper cup has diameter 10 cm and slant height 13 cm as shown. This is the volume of the cone-shaped paper cup.
What is 100pi?
This is a scatter plot that shows a negative, linear association and has one clear outlier. Circle the outlier.
What is show me your drawings?
At Bruno’s shipping warehouse, any item weighing 5 pounds or less costs $3.50 to ship.
For items over 5 pounds, the item costs $3.50 plus $1.25 for each additional pound.
This is the weight in pounds if you paid $14.75 to ship a package.
What is 14 pounds?
In triangle ABC, AB = 5 and BC = 17.
This is the number of different possible triangles exist with integer side lengths for AC.
What is 9?
All of the expressions below are true. This is the smallest positive three-digit integer value for n.\
(3n+4)/5,
(4n+5)/3,
(5n+3)/4
What is 157?
Suppose that N has an odd number of positive integer divisors, N is even and N < 1000.
This is the greatest possible value of N
What is 900?
This is a scatter plot that shows a positive association that is not linear.
What is show me your graphs?