If a right triangles has legs of 8 cm and 15 cm, how long is the hypotenuse?
15 cm
100
If two cylinders are similar to each other and the scale factor is 5, how tall is the bigger cylinder is the smaller cylinder has a height of 10 inches?
50 inches
100
What is the area of a circle with a diameter of 6 inches? Please round your answer to the nearest tenth.
28.3 square inches
100
An organization is raising money by selling tickets for $10 for a children's hospital. The quantities involved are the number of tickets and the total amount raised. Which is the dependent quantity?
The total amount raised
100
If the graph of the equation y = x^2 + 1 is translated 3 units down, what will be the equation of the new graph?
y = x^2 - 2
200
If a right triangle has legs of length 5 inches and 12 inches, how long is the hypotenuse?
13 inches
200
If a smaller rectangle has dimensions of 3 feet length and 2 feet width, how much area does a similar rectangle have that has a scale factor of 2?
24 square feet
200
What is the height of a triangle whose base is 4 cm and whose area is 36 square centimeters?
18 cm
200
If x @ y = 2y - x + xy, what is the value of 7@ 4 ?
29
200
The equations of two lines are y = 6x - 4 and y = 4x + 2.
What is the value of x in the solution for this system of equations?
3
300
If a right triangle has a base of 21 cm and a height of 28 cm, how long is the hypotenuse?
35 cm
300
Two boxes (rectangular prisms) are similar. How much volume does the bigger box have if the smaller box has dimensions of 1 foot by 1.5 feet by 2 feet and the scale factor is 3?
81 cubic feet
300
A square has an area of 81 square inches. What is the length across its diagonal? Round to nearest tenths.
12.7 inches
300
Kirk repairs computers and charges $57 for 1 hour, $69 for 2 hours, $81 for 3 hours, etc. If Kirk decides to keep his base fee the same, but increase his hourly rate by $2, what will be the total cost for 6 hours of work?
$129
300
What are the zeros of the function y = 1/2 (x + 4)(x - 6) ?
In other words, what are the two solutions to the equation 0 = 1/2 (x + 4)(x - 6) ?
-4 and 6
400
If Mr. Wilson walks 32 feet north and then 60 feet east, how far from his original position is he?
68 feet
400
If a large rectangle has dimensions of 10 cm length and 6 cm width, how much area does the smaller rectangle have if the scale factor is 1/2 ?
15 square centimeters
400
The radius of a spherical beach ball is 24 centimeters. If another spherical beach ball has a radius 3 centimeters longer, about how much greater is its surface area, to the nearest square centimeter?
1923 square centimeters
400
In triangle ABC, the measure of angle BAC is 6x +3. The measure of angle ABC is 3x - 6. Write an expression for finding the measure of angle BCA.
180 - (9x - 3) or 183 - 9x
400
What is the value of x when y = 124 in the quadratic equation y = 3x^2 + 4x - 8?
6
500
If the hypotenuse of a right triangle is 91 cm, and one of the legs is 84 cm, how long is the other leg?
35 cm
500
The coordinates of a small triangle are (0, 0), (2, 3), and (3, 0). What are the coordinates of a similar triangle with a scale factor of 3?
(0, 0), (6, 9), and (9, 0)
500
Joel want to reduce a shape that is 9 inches tall and 16 inches wide. He wants it to fit on a 9 inch by 12 inch piece of paper. If he reduces the figure proportionally, what is the maximum size the reduce figure could measure?
5.06 inches by 9 inches
500
Write a slope-intercept form (y = mx + b) equation for line with a slope of 3 and contains the points (2, 8).
y = 3x + 2
500
Mr. Yum challenged himself to see how many burritos and hamburgers he could eat in an hour. He ate 27 total items costing a total of $47.50. If burritos cost $2.50 and hamburgers cost $4.50, how many burritos and how many hamburgers did he consume?