Distribute and Combine Like Terms

Front

What does it mean to combine like terms in an expression?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is a like term?

Back

Like terms are terms that have the same variable and exponent. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

Simplify the expression: 6 + 2(7x - 3)

Back

14x

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 parenthesis.

Front

Simplify the expression: -2x - 4(4x - 8)

Back

-18x + 32

Front

What is the first step in simplifying an expression using the distributive property?

Back

The first step is to distribute the term outside the parentheses to each term inside the parentheses.

Front

Simplify by combining like terms: 5a + 2b - 3a + 4

Back

2a + 2b + 4

Front

What is the result of combining the like terms 3x + 4x?

Back

7x

Front

Simplify the expression: x + 4 - 7(x - 5)

Back

-6x + 39

Front

What is the purpose of simplifying expressions in algebra?

Back

The purpose is to make expressions easier to work with and to solve equations more efficiently.