Simplifying Expressions

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, while 3x and 3y are not.

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in the term 3y, 3 is the coefficient.

Front

What is a variable?

Back

A variable is a symbol used to represent an unknown value in mathematical expressions. For example, in the expression 5x, x is the variable.

Front

What is a constant term?

Back

A constant term is a term in an expression that does not contain any variables. For example, in the expression 4x + 5, 5 is the constant term.

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, 2x + 3x = 5x.

Front

What is the simplified form of 4a + 9 + a?

Back

The simplified form is 5a + 9.

Front

What is the coefficient in the expression 5x - 9?

Back

The coefficient is 5.

Front

What is the simplified form of 9z - 21 - 3z + 10?

Back

The simplified form is 6z - 11.

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 is the result of combining -4x, 2x, and 3x?

Back

The result is 1x or simply x.