Equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables and constants.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3m and 4m are like terms.

Front

What is the process of combining like terms?

Back

Combining like terms involves adding or subtracting the coefficients of like terms to simplify the expression.

Front

Simplify the expression: 2x + 3x - x.

Back

4x.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

Use the distributive property to simplify: 3(2 + x).

Back

6 + 3x.

Front

What is a variable in an equation?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation.

Front

What is a constant in an equation?

Back

A constant is a fixed value that does not change, such as numbers like 5, -3, or 0.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.