ACT Math

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter P of a rectangle is given by the formula P = 2(x + y), where x and y are the lengths of the sides.

Front

If the area of a rectangle is given as A = length × width, what is the area of a rectangle with length 1 unit and width 1 unit?

Back

The area A = 1 × 1 = 1 square unit.

Front

How do you calculate the area of a triangle given its base and height?

Back

The area A of a triangle is calculated using the formula A = (1/2) × base × height.

Front

What is the formula for the area of a trapezoid?

Back

The area A of a trapezoid is given by A = (1/2) × (b1 + b2) × h, where b1 and b2 are the lengths of the two bases and h is the height.

Front

What is the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the quadratic formula used to find the roots of a quadratic equation?

Back

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

Front

What is the formula for the area of a circle?

Back

The area A of a circle is given by A = πr², where r is the radius.

Front

How do you find the sum of two polynomials?

Back

To find the sum of two polynomials, combine like terms by adding their coefficients.

Front

What is the definition of a function in mathematics?

Back

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

Front

What is the difference between a rational and an irrational number?

Back

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a simple fraction.