ACT Math 25-36

Front

What is the purpose of the ACT Math section?

Back

To assess students' mathematical skills and problem-solving abilities in various areas such as algebra, geometry, and trigonometry.

Front

Define 'algebraic expression'.

Back

A combination of numbers, variables, and operators (such as +, -, ×, ÷) that represents a value.

Front

What is 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

How do you solve for x in the equation 2x + 3 = 11?

Back

Subtract 3 from both sides to get 2x = 8, then divide by 2 to find x = 4.

Front

What is the formula for the area of a circle?

Back

Area = πr², where r is the radius of the circle.

Front

Define 'linear equation'.

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation ax² + bx + c = 0.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the difference between a permutation and a combination?

Back

A permutation is an arrangement of items where order matters, while a combination is a selection of items where order does not matter.

Front

Define 'function'.

Back

A relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.