Expressions -Honors 6

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 a coefficient?

Back

A coefficient is a numerical factor in a term of an expression. For example, in 5x, 5 is the coefficient.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract their coefficients while keeping the variable part the same. For example, 3x + 2x = 5x.

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

Translate the phrase '5 more than a number x' into an algebraic expression.

Back

x + 5

Front

What is the result of simplifying the expression 2(x + 3) + 4?

Back

2x + 6 + 4 = 2x + 10.

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 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.