ACT Math Prep 2/8

Front

What is the primary focus of the ACT Math section?

Back

The ACT Math section primarily focuses on mathematical skills that students have typically acquired in courses taken up to the beginning of grade 12, including algebra, geometry, and trigonometry.

Front

What types of questions are commonly found in the ACT Math section?

Back

Common types of questions include algebraic equations, coordinate geometry, functions, and data analysis.

Front

How can you determine the slope of a line given two points?

Back

The slope (m) of a line can be determined using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What is the Pythagorean theorem and when is it used?

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): a² + b² = c². It is used to find the length of a side in a right triangle.

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 set.

Front

How do you solve a quadratic equation using the quadratic formula?

Back

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

Front

What is a function and how is it different from a relation?

Back

A function is a specific type of relation where each input (x) has exactly one output (y). In contrast, a relation can have multiple outputs for a single input.

Front

What is the area of a circle and how is it calculated?

Back

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

Front

What is the significance of the unit circle in trigonometry?

Back

The unit circle is a circle with a radius of 1 centered at the origin of a coordinate plane. It is significant because it provides a way to define trigonometric functions for all angles.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator.