Probability
Inequalities
Rates and Unit Rates
Proportions
Michigan
100
In the district finals, Natalie has just been fouled. She gets to try one free throw. If she makes it, she gets to try a second free throw. Natalie's free-throw average is 60%. Is Natalie most likely to score 0, 1, or 2 points?
0 points
100
Solve the inequality and graph its solution: 160 + 4x < 500
x < 85
100
Define Unit Rate.
A unit rate is a rate with a second quantity of 1 unit.
100
Solve for x: x/8 = 1/4
x = 2
100
What is the population of the state of Michigan? The team with the closest answer earns the points.
9.91 million (2014 census)
200
If you take a 4-question true/false quiz and guess on every question, what are your chances of getting every question right?
0.0625 or 6.25%
200
Solve and graph the inequality: 7 - x <= 21
x >= -7
200
Takeru Kobayashi of Japan ate 53.5 hot dogs in 12 minutes to win a contest. Find his unit rate of hot dogs per minute. Round your answer to the nearest hundredth.
4.46 hot dogs per minute
200
Solve for f: f+3/12 = 7/2
f = 39
200
Which three animals appear on Michigan's state flag?
Elk, moose, and bald eagle
300
In a basket of canned food, 3 cans are corn, 2 are spinach, 4 are beans, and 1 is tomatoes. What is the probability of someone not picking a spinach can?
8/10 or 80%
300
Solve the inequality and graph the solutions: -4 + (-8) < -5x - 2
x < 2
300
The ratio of faculty members to students at a college is 1:15. There are 675 students. How many faculty members are there?
45
300
A forest ranger who is 150 cm tall casts a shadow 45 cm long. At the same time, a nearby tree casts a shadow 195 cm long. Write and solve a proportion to find the height of the tree.
The tree's height is 650 cm.
300
Name the Great Lakes
Huron, Ontario, Michigan, Eerie, Superior
400
What is the probability of rolling a 6 two times in a row on a di?
0.028 or 2.8%
400
Solve the inequality and graph the solutions: -3(3 - x) < 16
x < 8 and 1/3
400
As you go deeper underground, the earth's temperature increases. In some places, it may increase by 25-degrees Celsius per Kilometer. What is this rate in degrees per meter?
0.025 degrees Celsius per meter
400
Solve for y: 3/2y = 16/y+2
y = 6/29 = 0.21
400
Which states have land that touches Michigan?
Indiana, Ohio, and Wisconsin
500
Natalie has a 70% free-throw percentage and is in a one-and-one free-throw situation. What are the chances that Natalie scores 1 point?
21%
500
Solve the inequality and graph the solutions: 3 + 2(x + 4) > 3
x > -4
500
Ralf Laue of Germany flipped a pancake 416 times in 120 seconds to set the world record. Find both unit rates associated with Laue's world-record time. Round your answers to the nearest hundredth.
3.47 flips per second and 0.29 seconds per flip
500
Solve for n: n+3/5 = n-1/2
n = 11/3
500
What is the population of Michigan's Upper Peninsula? Closes guess earns the points.
311,361