combine like terms

Front

What are like terms in an algebraic expression?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3xy and 5xy are like terms, while 3xy and 4x^2 are not.

Front

How do you combine like terms in an expression?

Back

To combine like terms, you add or subtract the coefficients of the terms that are alike. For example, in the expression 3x + 5x, you combine them to get 8x.

Front

What is the first step in simplifying an expression with parentheses?

Back

The first step is to apply the distributive property, which involves multiplying the term outside the parentheses by each term inside the parentheses.

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 in a sum or difference.

Front

How many terms are in the expression -18y + 7yz - 4z?

Back

There are 3 terms in the expression: -18y, 7yz, and -4z.

Front

What is the result of combining the like terms in the expression 8xy + 7x^2 + 6y - 4x^2 - 5xy?

Back

The result is 3x^2 + 3xy + 6y.

Front

How do you simplify the expression -8(5b + 2) - 7(b - 5)?

Back

First, apply the distributive property: -40b - 16 - 7b + 35. Then combine like terms to get -47b - 19.

Front

What is the simplified form of the expression 5x^2 + 5y + 2x^2 + 4y^2 - 4x^2 + 2y^2 - 4y?

Back

The simplified form is 3x^2 + 6y^2 + y.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in 4x, 4 is the coefficient.

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.