Simplifying Expressions

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

How do you simplify the expression 5x + x - 2x?

Back

Combine like terms: 5x + x - 2x = (5 + 1 - 2)x = 4x.

Front

What is the result of simplifying the expression 15x + 2 - 5x + 6?

Back

Combine like terms: 15x - 5x + 2 + 6 = 10x + 8.

Front

What does it mean to distribute in an expression?

Back

Distributing means multiplying a term outside of parentheses by each term inside the parentheses.

Front

How do you simplify the expression 5(6n - 2) - 13?

Back

Distribute 5: 5 * 6n - 5 * 2 - 13 = 30n - 10 - 13 = 30n - 23.

Front

What is the simplified form of the expression -(5y - 8)?

Back

Distribute the negative sign: -5y + 8.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.

Front

How do you simplify the expression 10y + 2y + 3 + 4?

Back

Combine like terms: (10y + 2y) + (3 + 4) = 12y + 7.

Front

What is the importance of simplifying expressions in algebra?

Back

Simplifying expressions makes it easier to solve equations and understand relationships between variables.

Front

What is the first step in simplifying an expression?

Back

Identify and combine like terms.