Surface Area and Volume
A fishbowl shaped like a sphere is filled with water. The fishbowl has a diameter of 16 inches. What is the volume of the fishbowl? Round to the nearest whole number.
2,144 cubic inches
Which transformation does not preserve congruence?
Dilations
To which subset(s) of the real number system does the number -5 belong?
Real, Rational, Integers
In the equation y = mx + b, which variable represents the slope and which variable represents the y-intercept?
m = slope
b = y-intercept
What is the formula used to find the missing side length of a right triangle?
a^2 + b^2 = c^2
In a museum there is a sculpture in the shape of a cylinder. The cylinder has a diameter of 12 feet and a height of h feet. Which equation can be used to find the volume, V, of the cylinder in cubic feet?
V = π(6)^2h
A point is rotated 180 degrees. What is the rule?
(x, y) - (-x, -y)
Is the square root of 20 rational or irrational?
Irrational (non-repeating, non-terminating decimal)
What is the slope of a line that passes through the points (2, 5) and (4, 9)?
m = 2
A right triangle has legs with lengths of 6 inches and 8 inches. What is the length of the hypotenuse?
10
A party hat is shaped like a cone with a radius of 3 inches and a height of 10 inches. What is the approximate volume of the hat? Round to the nearest whole number.
94 cubic inches
A triangle is reflected across the x-axis. If the original point was (x, y), what is the new algebraic rule?
(x, -y)
Order the following numbers from least to greatest: pi, square root of 10, 3.1
3.1, pi, square root of 10
Identify the y-intercept of the line y = -3x + 7 as an ordered pair.
(0, 7)
Can a triangle with side lengths of 5, 12, and 13 be classified as a right triangle? Prove it (show your work).
Yes. 25 + 144 = 169
What is the total surface area of a cylinder with a radius of 5 cm and a height of 12 cm? Round to the nearest whole number.
534 square cm
A square is dilated by a scale factor of k = 1/2. Is the new image a reduction or an enlargement, and is it congruent to the original?
Not congruent.
When written in scientific notation, a number has a negative exponent. Does this represent a number greater than 1 or a number between 0 and 1?
A number between 0 and 1.
A plumber charges a flat fee of $50 plus $30 per hour of work. Write a linear equation in slope-intercept form to represent the total cost (y) for (x) hours.
y = 30x + 50
A 13-foot ladder is leaning against a wall. The base of the ladder is 5 feet away from the wall. How high up the wall does the ladder reach? Be sure to show your work!
12 feet
A soup can has a radius of 4 cm and a height of 10 cm. What is the lateral surface area of the can? Show your work and write your answer in terms of pi.
80 pi
A figure is rotated 270 degrees counter-clockwise. What is the algebraic rule?
(x, y) - (y, -x)
True or False: Every integer is a whole number, and every square root is an irrational number. Explain your answer.
False.
Not all integers are whole numbers (-5)
Not all square roots are irrational (square root of 25 = 5)
Name one similarity and difference between proportional and non-proportional relationships.
Similarity: Both represent a constant rate of change and form a straight line when graphed.
Difference: Proportional relationships pass through the origin; a non-proportional relationship does not pass through the origin.
What is the distance between the points (2, 3) and (5, 7) on a coordinate plane? (Round to the nearest tenth if necessary).
5 units