Distributing and Combining Like Terms

Front

What is the process of combining like terms in an expression?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. This simplifies the expression.

Front

Simplify the expression: 8a + 6 + 1 + 8a - 3b + b

Back

16a - 2b + 7

Front

What does it mean to distribute in mathematics?

Back

Distributing means multiplying a single term by each term inside a set of parentheses.

Front

Simplify the expression: -4(-4d - 5)

Back

16d + 20

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power, such as 3x and 5x.

Front

Simplify the expression: 3x - (x - 6) - 12

Back

2x - 6

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a term by a sum.

Front

Simplify the expression: 2(4 + 9w)

Back

8 + 18w

Front

What is the result of distributing -3 in the expression -3(2c - 5)?

Back

-6c + 15

Front

What are coefficients in an algebraic expression?

Back

Coefficients are the numerical factors in front of variables, such as 4 in 4x.