Geometry
This quadrilateral has four equal sides and four right angles.
Square
Solve for x: 3x + 5 = 14.
x = 3
The longest side of a right triangle is called the __.
Hypotenuse
The least common multiple of 6 and 8 is __
24
The measure of central tendency that represents the most frequently occurring value in a dataset is called the __.
Mode
The sum of the interior angles of a pentagon is __ degrees.
540 degrees
Factor completely: x² - 9x + 18.
(x - 3)(x - 6)
The sine of an angle in a right triangle is the ratio of the __ to the __.
opposite side to hypotenuse
A store is offering a 20% discount on a $50 item. What is the final price?
$40
If the mean of five numbers is 12, what is their total sum?
60
The formula for the volume of a sphere is __.
(4/3)πr³
The quadratic formula is used to find the roots of a quadratic equation. What is the formula?
x = (-b ± √(b² - 4ac)) / 2a
Convert 60 degrees to radians.
π/3 radians
Express 0.36 as a fraction in simplest form.
9/25
A normal distribution is symmetric about this value.
Mean
A kite has two pairs of adjacent sides. One pair of equal sides measures 10 cm each, and the other pair measures 7 cm each. What is the perimeter of the kite?
34 cm — Perimeter = 10 + 10 + 7 + 7 = 34 cm.
The sum of the ages of a father and his son is 48 years. If the father is three times as old as his son, how old is the son?
12 years old
If tan(θ) = 3/4 and θ is in the first quadrant, find sin(θ)
3/5
The sum of the first 50 positive integers is __.
1275
The interquartile range (IQR) is found by subtracting this value from this value.
Q3 - Q1
Triangle ABC has sides AB = 6 cm, BC = 8 cm, and AC = 10 cm. Triangle DEF has sides DE = 3 cm, EF = 4 cm, and DF = 5 cm. Are these two triangles similar, if so, what Theorem proves it?
Yes, by the SSS Similarity Theorem
A company’s revenue is modeled by the quadratic function R(x) = -2x2 + 20x + 50 where x represents the number of products sold (in hundreds). How many products must be sold to maximize revenue, and what is the maximum revenue?
500 products and $100,000
The identity: sin2 (x) + cos2 (x) = 1 can also be expressed as...
EITHER: 1 + cot²(x) = csc²(x) OR 1 + tan²(x) = sec²(x)
If log₂(x) = 5, what is x?
32
If the standard deviation of a dataset is 5 and you multiply all values in the dataset by 3, the new standard deviation is __.
15