PreACT Review

Front

What is the power of a power property in exponents?

Back

When raising a power to another power, multiply the exponents. For example, (a^m)^n = a^(m*n).

Front

What is the formula to find the hypotenuse of a right triangle?

Back

The hypotenuse can be found using the Pythagorean theorem: c = √(a² + b²), where c is the hypotenuse and a and b are the lengths of the other two sides.

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the midpoint formula in coordinate geometry?

Back

The midpoint M of a line segment with endpoints (x1, y1) and (x2, y2) is given by M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the formula for the sum of an arithmetic series?

Back

The sum S of the first n terms of an arithmetic series can be calculated using S = n/2 * (first term + last term).

Front

What is the definition of an exponent?

Back

An exponent indicates how many times a number (the base) is multiplied by itself. For example, 2^3 = 2 * 2 * 2 = 8.

Front

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

Back

A rational number can be expressed as a fraction a/b where a and b are integers and b ≠ 0. An irrational number cannot be expressed as a simple fraction.

Front

What is the formula for the area of a triangle?

Back

The area A of a triangle is given by A = 1/2 * base * height.

Front

What is the definition of 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 y = mx + b.

Front

What is the concept of a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x).