ACT MATH mixed questions

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

Front

Define the Pythagorean theorem.

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides: a² + b² = c².

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a) for the equation ax² + bx + c = 0.

Front

Explain the concept of slope in a linear equation.

Back

Slope (m) is the ratio of the rise (change in y) over the run (change in x) between two points on a line.

Front

What is the difference between mean, median, and mode?

Back

Mean is the average, median is the middle value when data is ordered, and mode is the most frequently occurring value.

Front

How do you calculate the circumference of a circle?

Back

Circumference = 2 * π * radius.

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the difference between permutations and combinations?

Back

Permutations consider the order of selection, while combinations do not.

Front

What is the formula for the volume of a cylinder?

Back

Volume = π * radius² * height.

Front

Define the term 'asymptote' in relation to graphs.

Back

An asymptote is a line that a graph approaches but never touches.