Ratios and Proportions
If a recipe calls for 4 cups of flour to make 16 cookies, how many cups of flour are needed for 48 cookies? Question:
What is 12 cups of flour?
A teacher is setting up desks in two arrangements. In the first setup, there are 3x+4 desks. In the second setup, there are 5x−6 desks. How many desks are in each arrangement if they are equal?
What is 19 desk
Zoe is sorting pencils into boxes. She put 1 pencil in the first box, 2 pencils in the second box, 4 pencils in the third box, 8 pencils in the fourth box, and 16 pencils in the fifth box. If this pattern continues, how many pencils will Zoe put in the sixth box?
What is 32?
This capital city of Georgia was burned during the Civil War and later rebuilt into a major transportation hub.
What is Atlanta?
A bird was sitting 8 meters from the base of an oak tree and flew 10 meters to reach the top of the tree. How tall is the tree?
What is 6 meters
A car travels 120 miles in 2 hours at a constant speed. At the same rate, how far will it travel in 5 hours? Question:
What is 300 miles?
Maria earns $12 per hour plus a $30 weekly bonus. Jake earns $15 per hour but has no bonus. After working the same number of hours, their paychecks are equal. How many hours did they work?
What is 10 hours
Eric got a new video game. He scored 60 points on the first level, 72 points on the second level, 84 points on the third level, and 96 points on the fourth level. If this pattern continues, how many points will Eric score on the fifth level?
What is 108 Points
This capital is located near the Rocky Mountains and is known for its Mile High altitude.
What is Denver?
A taut telephone wire extends from the top of a 24-foot tall telephone pole to a stake in the ground 7 feet away. A bug crawled from the stake in the ground up the wire to the top of the telephone pole. Then the bug crawled down to the bottom of the pole and back to the stake. How far did the bug crawl?
What is 56 feet
If 60% of a class of 30 students voted for a field trip to the museum, how many students did not vote in favor?
What is 12 students?
Two buses start from the same point. The first bus travels at a speed of 45x miles per hour, and the second travels at 60x−90 miles per hour. After traveling the same distance, how long have they been on the road?
What is 6 hours ?
Find the first three terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n = 1.
-7n - 2
What is -9, -16, and -23
This capital of the Golden State is known for its history in the Gold Rush era.
What is Sacramento?
Melissa is deep-sea diving with two friends. Sanjay is floating on the surface 45 feet above Melissa, and Derek is exploring a coral reef 28 feet in front of Melissa. How far apart are Sanjay and Derek?
What is 53 feet apart?
A map uses a scale of 1 inch = 5 miles. If two towns are 15 miles apart, how far apart are they on the map?
What is 3 inches?
A weightlifter records their progress. One workout involves 10x+15 pounds lifted, while another involves 12x−5 pounds lifted. If both workouts involved the same weight, what is x?
What is x = 10
Find the first four terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n = 1.
4(3)n
What is 12, 36, 108 and 324
This state capital is located along the banks of the Mississippi River and is known for its blues and barbecue.
What is Baton Rouge?
The formula to find the area of a circle in terms of the diameter
What is A = pi (d/2)2
A store sells 3 pencils for $1.50. It also sells 3 pens $2.88 What is the cost of 10 pencils and 8 pens?
What is $12.68
Two different companies offer plumbing repair services. Company A charges $75 plus $15 per hour. Company B charges $50 plus $20 per hour. After working the same amount of time, both companies cost the same. How many hours were worked?
What is 5 hours?
Find the first five terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n = 1.
5n + 9
What is 14, 19, 24, 29 and 34
This New England state capital is the smallest by population, with fewer than 10,000 residents.
What is Montpelier?
Name the characteristics of a regular polygon
What are:
All sides are equal: Every side of the polygon has the same length.
All angles are equal: Each interior angle of the polygon is congruent.