combining like terms and distributive property

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, 3x and 5x are like terms, while 3x and 4y are not.

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, in the expression 2x + 3x, you combine them to get 5x.

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

Simplify the expression: 2(3 + 4).

Back

Using the distributive property, 2(3 + 4) = 2*3 + 2*4 = 6 + 8 = 14.

Front

What is the first step in simplifying an expression with like terms?

Back

The first step is to identify and group the like terms together.

Front

How many terms are in the expression: 5x + 3y - 2 + 4x?

Back

There are 4 terms in the expression: 5x, 3y, -2, and 4x.

Front

What is the result of combining the like terms in the expression: 4a + 2b - 3a + 5b?

Back

The result is: (4a - 3a) + (2b + 5b) = 1a + 7b = a + 7b.

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

If you have the expression 7x - 2x + 5, what is the simplified form?

Back

The simplified form is 5x + 5.

Front

What is the coefficient in the term 6y?

Back

The coefficient in the term 6y is 6.