Ryan Generating Equivalent 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, 5x + 9 is an algebraic expression.

Front

How many terms are in the expression 5x + 9 - 4b?

Back

There are 3 terms in the expression: 5x, 9, and -4b.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variables involved.

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 parentheses.

Front

Use the distributive property to simplify: 5(2f + 4). What is the equivalent expression?

Back

The equivalent expression is 10f + 20.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. In 4x, 4 is the coefficient.

Front

What is the result of combining like terms in the expression 6m - m?

Back

The result is 5m.

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change. In the expression 5m + 5, the number 5 is a constant.

Front

Simplify the expression: 5m + 5 - 3m. What is the equivalent expression?

Back

The equivalent expression is 2m + 5.

Front

What is the first step in simplifying an algebraic expression?

Back

The first step is to identify and combine like terms.