ACT Prep Math Final

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: Area = 1/2 * base * height.

Front

How do you solve a linear equation in one variable?

Back

To solve a linear equation in one variable, isolate the variable on one side of the equation using inverse operations.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that 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 difference between mean, median, and mode?

Back

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

Front

How do you calculate the slope of a line given two points?

Back

The slope (m) of a line through two points (x1, y1) and (x2, y2) is calculated as: m = (y2 - y1) / (x2 - x1).

Front

What is the quadratic formula?

Back

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

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

How do you find the greatest common factor (GCF) of two numbers?

Back

To find the GCF of two numbers, list the factors of each number and identify the largest factor that appears in both lists.

Front

What is the formula for the circumference of a circle?

Back

The circumference of a circle is given by the formula: Circumference = 2 * π * radius.

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input, often expressed as f(x).