Hedrick/Power Hour/Simplifying 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. It allows you to multiply a single term by each term inside a parenthesis.

Front

Simplify the expression: 45e + 12 + 6e - 8.

Back

51e + 4.

Front

What is the equivalent expression for 3b?

Back

b + b + b.

Front

Simplify the expression: 7z - 4 + 5z + 2.

Back

12z - 6.

Front

What is the equivalent expression for x + x + x + y + y + y?

Back

3x + 3y.

Front

Simplify the expression: 5(6x + 3).

Back

30x + 15.

Front

What is a variable in mathematics?

Back

A variable is a symbol (often a letter) that represents an unknown value.