Distributing and Combining Like Terms Flashcard

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: 5x + 3y + 5 + 4x + 3y + y + 8

Back

9x + 7y + 13

Front

What does it mean to distribute in algebra?

Back

Distributing means multiplying a term by each term inside a set of parentheses. For example, in -5(2x - 3y + 4), you multiply -5 by each term: -5*2x, -5*(-3y), and -5*4.

Front

Simplify the expression: -6k + 7k

Back

k

Front

What are like terms?

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

Simplify the expression: -5(2x - 3y + 4)

Back

-10x + 15y - 20

Front

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

Back

5x - 9

Front

What is the importance of simplifying expressions in algebra?

Back

Simplifying expressions makes them easier to work with, understand, and solve, especially when solving equations or inequalities.

Front

Simplify the expression: 3 + 5x + 8 - 2x

Back

11 + 3x

Front

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

Back

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