Algebra
Solve for x:
2x + 3 = 11
Answer: x = 4
How many degrees are in a triangle?
Answer: 180 degrees
If a die is rolled, what is the probability of rolling an even number?
Answer: 3/6 or 1/2
What is the "parent function" of a graph that is shaped like a "V"?
Answer: Absolute Value (f(x) =|x|)
What is the smallest prime number greater than 50?
Answer: 53
If f(x) = 2x + 5, what is f(3)?
Answer: 11
What is the Pythagorean theorem?
Answer: a² + b² = c²
What is the mean of the numbers 2, 4, 6, 8?
Answer: 5
If f(x) = x + 7 and g(x) = 2x,
find the composition (f 𖧋 g)(x)
Answer: 2x + 7
How many positive divisors does the number 36 have?
Answer: 9
Simplify: (3x² * 2x)
Answer: 6x³
What is the measure of each interior angle in an equilateral triangle?
Answer: 60°
Define "median"
Answer: The middle value in a sorted data set.
Describe the transformation of f(x) = (x-2)2 + 3 compared to the parent function.
Answer: Right 2, Up 3
What is the largest two-digit prime number?
Answer: 97
Factor: x² - 5x + 6
Answer: (x - 2)(x - 3)
What is the formula used when measuring the distance between two points on a coordinate plane?
Answer: d=√[(x2-x1)2+(y2-y1)2]
In a set of 5 integers, the mean is 10. If four of the numbers are 8, 8, 12, and 12, what is the fifth number?
Answer: 10
If f(g(x)) = x and g(f(x)) = x, what is the mathematical relationship between f and g?
Answer: They are inverses.
What is the Least Common Multiple (LCM) of 6 and 8?
Answer: 24
What is the quadratic formula?
Answer: x = (-b ± √(b² - 4ac)) / 2a
What is the distance between the points
(1, 2) and (4, 6) on a coordinate plane?
Answer: 5
This term describes a data point that differs significantly from the rest of the observations.
Answer: Outlier
Find the inverse of f(x) = x3
Answer: f-1(x)=3√x
What is the next number in the Fibonacci sequence: $1, 1, 2, 3, 5, 8, ...?
Answer: 13