Simplifying and Evaluating Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 2x + 3 is an algebraic expression.

Front

What does it mean to simplify an algebraic expression?

Back

To simplify an algebraic 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

How do you evaluate an algebraic expression?

Back

To evaluate an algebraic expression, substitute the values of the variables into the expression and perform the operations.

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 two or more terms inside a parenthesis.

Front

Simplify: 6a + 12 and 3(3a + 4)

Back

No, they are not equivalent.

Front

Evaluate (y + z)² when y=5 and z=2.

Back

49

Front

Evaluate 2x + 5(y - 1) when x = 8 and y = 5.

Back

36

Front

Simplify: 17m - 4 - 15m + 8

Back

2m + 4

Front

Simplify: -5 - 15n - 10n + 19

Back

-25n + 14