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 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, meaning you can distribute a number across a sum.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable. For example, 3x + 5x = 8x.

Front

What is the coefficient in an expression?

Back

The coefficient is the numerical factor in a term. For example, in 4x, 4 is the coefficient.

Front

What is a variable in an expression?

Back

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

Front

What is the difference between an expression and an equation?

Back

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

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting the variables with specific numbers.

Front

What is the result of the expression 8h - 20 when h = 3?

Back

The result is 8(3) - 20 = 24 - 20 = 4.