ACT - MATH

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Formula: a² + b² = c².

Front

Define a linear equation.

Back

A linear equation is an equation of the first degree, meaning it has no variables raised to a power greater than one. It can be written in the form ax + b = 0, where a and b are constants.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x). It is often represented as 'm' in the equation of a line, y = mx + b.

Front

Explain the concept of a function.

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output. It can be represented as f(x).

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the solutions of a quadratic equation ax² + bx + c = 0. It is given by x = (-b ± √(b² - 4ac)) / (2a).

Front

Define the term 'mean' in statistics.

Back

The mean is the average of a set of numbers, calculated by adding all the values together and dividing by the number of values.

Front

What is the difference between the median and the mode?

Back

The median is the middle value in a data set when arranged in order, while the mode is the value that appears most frequently in the data set.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other. Examples include x > 5 or y ≤ 3.

Front

Explain the concept of probability.

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 (impossible event) and 1 (certain event). It can be calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the set of values that satisfy all equations simultaneously.