Math ACT Practice

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: c² = a² + b².

Front

Define a linear equation.

Back

A linear equation is an equation of the first degree, meaning it has no exponents 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 difference between mean, median, and mode?

Back

Mean is the average of a set of numbers, median is the middle value when the numbers are arranged in order, and mode is the number that appears most frequently in a data set.

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 'variable' in mathematics.

Back

A variable is a symbol used to represent an unknown value in mathematical expressions and equations, commonly denoted by letters such as x, y, or z.

Front

What is the area of a circle?

Back

The area of a circle is calculated using the formula A = πr², where r is the radius of the circle.

Front

Explain what a proportion is.

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Front

What is the difference between permutations and combinations?

Back

Permutations are arrangements of items where order matters, while combinations are selections of items where order does not matter.