Like Terms and Distributive Property

Front

What are like terms in algebra?

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 identify the coefficient in a term?

Back

The coefficient is the numerical factor in a term. For example, in the term 4x, the coefficient is 4.

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 set of parentheses.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable. For example, 2x + 3x = 5x.

Front

What is the result of combining the like terms 5x and -2x?

Back

The result is 3x, since 5x - 2x = 3x.

Front

How do you simplify the expression 2x - 3 + 4x - 2 + x^2?

Back

Combine like terms to get x^2 + 6x - 5.

Front

What is the purpose of the distributive property in solving equations?

Back

The distributive property helps to eliminate parentheses and simplify expressions, making it easier to solve equations.

Front

How many terms are in the expression -3x + 2x - 8 + 6x - 2 + 7?

Back

There are 6 terms in the expression.

Front

What is the first step in solving an equation using the distributive property?

Back

The first step is to apply the distributive property to eliminate parentheses.

Front

If 3(_ + 8) = 15 + 24, what is the missing addend?

Back

The missing addend is 5.