Essential Pre-Algebra & Stats
The average (arithmetic mean) of five test scores is 85. If four of the scores are 80, 90, 85, and 75, this is the fifth score.
What is 95?
The value of x that satisfies the linear equation
3(x - 4) = 2x + 5.
What is 17?
The area, in square inches, of a right triangle with a hypotenuse of 5 inches and a base of 3 inches.
What is 6?
The product of any two consecutive odd integers will always result in this type of integer: even or odd.
What is odd?
If a fair, six-sided die is rolled twice, this is the total number of unique, possible outcome pairs.
What is 36?
A bag contains 4 red marbles, 6 blue marbles, and 5 green marbles. This is the probability of randomly drawing a marble that is NOT green.
What is 2/3?
If f(x) = 2x² - 3x + 1, this is the value of f(-2).
What is 15?
A cylinder has a base radius of 3 cm and a height of 10 cm. Expressed in terms of π, this is its total volume.
What is 90π cm³?
Expressed as a single fraction in lowest terms, this is the sum of 2/3 and 3/5.
What is 19/15?
A standard deck of 52 cards contains 4 Aces. If one card is drawn at random, this is the probability of drawing an Ace, expressed as a fraction in simplest form.
What is 1/13?
If x and y are positive integers such that x is a multiple of 6 and y is a multiple of 9, this is the least common multiple (LCM) that the product xy must be divisible by.
What is 18?
This is the slope of a line running perfectly perpendicular to the line equation 2x - 4y = 8.
What is -2?
The distance between the coordinate points (-1, 4) and (3, 7) on a standard Cartesian plane.
What is 5?
Simplified into a single expression with a positive exponent, this is the result of (x-3)-4.
What is x12?
A menu offers 3 appetizers, 4 main courses, and 2 desserts. This is the total number of unique 3-course meals that can be created by choosing one item from each course.
What is 24?
The ratio of boys to girls in a classroom is 3:5. If there are 32 students in the class in total, this is the number of girls.
What is 20?
The two real or complex solutions for x in the quadratic equation x² + 16 = 0.
What are 4i and -4i?
The center coordinates (h, k) of a circle defined by the equation (x - 5)² + (y + 2)² = 49.
What is (5, -2)?
If x is an odd integer and y is an even integer, this is the type of integer—even or odd—produced by the expression (3x + 2y + 5).
What is even?
A committee of 3 students needs to be chosen from a group of 7 candidates. This formula expression, written in factorial or combination notation, represents the total unique ways to pick the committee where order does not matter.
What is 7C3?
In a data set of 11 distinct numbers, the median is 42. If the 3 largest numbers in the set are each increased by 10, this is the value of the new median.
What is 42?
If g(x) = x + 3 and f(x) = x², this is the simplified expression for the composite function f(g(x)).
What is x² + 6x + 9?
The sum of all interior angles, measured in degrees, of a regular hexagon.
What is 720 degrees?
The value of x that satisfies the exponential equation 8x-1=32.
What is 8/3 ?
The probability of Event A occurring is 0.40, and the probability of Event B occurring is 0.50. If Events A and B are completely independent, this is the exact probability that neither event occurs.
What is 0.30?