Extra Practice-Combine Like Terms and Distributive Property

Front

What does it mean to combine like terms in an algebraic 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

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across terms inside parentheses.

Front

How do you simplify the expression 3(6x - 5)?

Back

To simplify, apply the distributive property: 3 * 6x - 3 * 5 = 18x - 15.

Front

What is the result of simplifying the expression 12x² - 8x + 9 - 7x² + 3x - 5?

Back

Combine like terms: (12x² - 7x²) + (-8x + 3x) + (9 - 5) = 5x² - 5x + 4.

Front

How do you simplify the expression 3(2h + 3c + 2)?

Back

Using the distributive property: 3 * 2h + 3 * 3c + 3 * 2 = 6h + 9c + 6.

Front

What is the simplified form of 7v + 2 + 12 + 2v?

Back

Combine like terms: (7v + 2v) + (2 + 12) = 9v + 14.

Front

How do you simplify the expression 2(3x + 5)?

Back

Using the distributive property: 2 * 3x + 2 * 5 = 6x + 10.

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

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

Back

Identify the term outside the parentheses and multiply it by each term inside the parentheses.

Front

Can constants be combined with variable terms?

Back

No, constants can only be combined with other constants, and variable terms can only be combined with like variable terms.