Combine like terms and distributive property

Front

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

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

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 a sum.

Front

How do you simplify the expression 3x - 5x?

Back

You combine like terms to get -2x.

Front

What is the result of applying the distributive property to 4(p - 6)?

Back

The result is 4p - 24.

Front

How do you simplify the expression 2x + 4 + 7x - 2?

Back

Combine like terms to get 9x + 2.

Front

What is the simplified form of 3x + 2x - 6?

Back

The simplified form is 5x - 6.

Front

How do you simplify the expression -11(9 + 2d)?

Back

Apply the distributive property to get -99 - 22d.

Front

What are like terms?

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 multiple terms?

Back

Identify and combine like terms.

Front

Can you give an example of using the distributive property?

Back

Yes, for example, 2(3 + 4) = 2*3 + 2*4 = 6 + 8 = 14.