Distribution & Combine Like Terms

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, meaning you multiply a term by each term inside the parentheses.

Front

How do you apply the distributive property to the expression 7(y + 9)?

Back

You multiply 7 by both y and 9, resulting in 7y + 63.

Front

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

Back

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

Front

Simplify the expression: 5a + 2b - 3a + 4.

Back

The simplified expression is 2a + 2b + 4.

Front

What is the result of simplifying -7x - 9x?

Back

The result is -16x.

Front

How do you simplify the expression -8(6x + 3)?

Back

You apply the distributive property to get -48x - 24.

Front

What is a 'like term'?

Back

Like terms are terms that have the same variable raised to the same power.

Front

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

Back

The first step is to apply the distributive property to eliminate the parentheses.

Front

How do you simplify the expression 6(3p - 1)?

Back

You apply the distributive property to get 18p - 6.

Front

What is the importance of combining like terms in algebra?

Back

Combining like terms helps to simplify expressions, making them easier to work with and solve.