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Equations/ Expressions
Probability/ Central Tendency/ Distance
Pythagoras Strikes Again
Special Triangles
Measurement
100
Eddie's Towing charges $40 to hook a vehicle to the tow truck and $3.25 for each mile towed. What is an equation that represents the relationship between m, number of miles towed, and c, total charges?
c = 40 + 3.25m
100
Karlee spins a spinner with equal sized sections marked red, blue, and green. She also rolls a die with faces marked 1-6. What is the probability that she spins blue and rolls a 4?
1/ 18
100
If I walk 40 yards north, then turn to walk 75 yards east, how far from my original position am I?
85 yards
100
In a 45-45-90 right triangle, the longest side is 10 cm. What is the length of the short sides?
About 7.1 cm
100
If the diameter of a circle is 20 inches, what is the area of the circle in terms of pi.
100 (pi) square inches
200
Solve for n: 4(2n + 5) - 18 = 58
n = 7
200
Mr. Wilson is researching car colors to find the most popular color for a car. He makes a frequency table to keep a count of the color for each car that goes through a busy intersection in Wichita Falls. Which central measure of tendency would be the most useful to Mr. Wilson: mean, meadian, mode, or range?
Mode
200
What is the length of a leg on a right triangle if the other leg is 80 cm and the hypotenuse or longest side is 100 cm?
60 cm
200
In a 30-60-90 right triangle, the smallest side has length of 20 inches. How long is the side opposite the 60 degree angle?
About 34.6 inches
200
What is the height of a triangle with a base of 8 cm and an area of 64 square centimeters?
16 cm
300
Steve works 6 hour shifts as a waiter in a restaurant. He makes $5 per hour and keeps 80% of his tip money. How much tip money does he need to receive per shift to earn a total of exactly $50 before taxes are deducted?
$25
300
John has 8 green marbles and 5 blue marbles. What is the probability that he will randomly pick a blue marble, then a green marble without replacement?
10/ 39
300
If the diagonal distance across a square is 30 yards, what is the side length of the square?
About 21.2 yards
300
Mr. Wilson is standing 20 feet from a tree with an angle of elevation of 30 degrees to the top of the tree. How tall is the tree?
About 11.5 ft
300
If the circumference of a circle is 30 pi feet, than what is the area of that circle in terms of pi?
225 pi square feet
400
Mr. Wilson saved money on regular batteries that cost $5.50 by buying the cheap batteries that only cost $3.85. What is the percent of money he saved?
30%
400
What is the distance between the ordered pairs (-4, 9) and (3, -2)?
About 13
400
If James cuts across the diagonal of a yard that has a width of 12 yards and a length of 16 yards, how much distance did he save than if he had walked around the yard?
8 yards
400
In a right triangle with a 30 degree angle, the 2nd longest side is 30 cm. How long is the longest side?
About 34.6 cm
400
What is the volume in terms of pi of a cone with a diameter of 10 cm and a height of 15 cm?
125 pi square centimeters
500
Solve for a. 2a - 6 + 5a = 3a + 10
a= 4
500
The perimeter around a square shaped yard is 88 meters. What is the distance from one corner to the opposite corner?
About 31 meters
500
If the distance between two points is 17 units, and one point has coordinates of (3, 17), what is the y coordinate of the point whose x-coordinate is -5?
2 or 32
500
In a right triangle with a 45 degree angle, the perimeter of the triangle is (6 + 3 square roots of 2) cm. How long are the shorter sides?
3 cm
500
How long will it take to empty a cylindrical tank with a pump that can pump 200 gallons a minute from a tank with a height of 20 feet, and a radius of 40 feet. Please assume 7.5 gallons per cubic foot.
About 3770 minutes or 62.8 hours or 2.6 days