algebra

Front

What is the definition of a variable in algebra?

Back

A symbol, often a letter, that represents a number in mathematical expressions or equations.

Front

What is the purpose of simplifying an algebraic expression?

Back

To make the expression easier to work with by combining like terms and reducing it to its simplest form.

Front

What does it mean to solve an equation?

Back

To find the value(s) of the variable(s) that make the equation true.

Front

What is the distributive property?

Back

A property that states a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Front

What is a coefficient in an algebraic expression?

Back

A numerical factor that multiplies a variable, such as in 4x, where 4 is the coefficient.

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers, variables, and operations without an equality sign, while an equation states that two expressions are equal.

Front

How do you find the perimeter of a rectangle?

Back

The perimeter P is calculated using the formula P = 2(length + width).

Front

What is the quadratic formula?

Back

The formula used to find the solutions of a quadratic equation, given by x = (-b ± √(b² - 4ac)) / (2a).

Front

What does it mean to factor an expression?

Back

To express it as a product of its factors, such as turning x² - 5x + 6 into (x - 2)(x - 3).

Front

What is a linear equation?

Back

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