Equations and Expressions

Front

What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (such as +, -, *, /) that represents a value.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to 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, 3x and 5x are like terms.

Front

What is the distributive property?

Back

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

Front

Solve: 2(x + 3) = 14

Back

x = 4

Front

What is a variable in an equation?

Back

A variable is a symbol (usually a letter) that represents an unknown value in an equation.

Front

What is the difference between an equation and an expression?

Back

An equation states that two expressions are equal, while an expression does not include an equality sign.

Front

Solve: 5x - 3 = 2

Back

x = 1

Front

What is the coefficient in the term 7x?

Back

The coefficient is the number in front of the variable, which in this case is 7.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.