Mathman Morris: Algebra Midterm

Front

What is the definition of a variable in algebra?

Back

A variable is a symbol, often a letter, that represents one or more numbers.

Front

What is the purpose of solving an equation?

Back

The purpose of solving an equation is to find the value(s) of the variable(s) that make the equation true.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and eliminating unnecessary parentheses.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you multiply a term by each term inside the parentheses.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

What is the difference between an expression and an equation?

Back

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

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.

Front

What is the quadratic formula?

Back

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

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.