Combine Like Terms with 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 apply the distributive property to the expression -6(x + 2)?

Back

You distribute -6 to both x and 2, resulting in -6x - 12.

Front

What is the result of simplifying the expression -3 + 7(3 + 6v)?

Back

The result is 18 + 42v after applying the distributive property and combining like terms.

Front

How do you simplify the expression -5(a - 6) + 2a?

Back

Distributing -5 gives -5a + 30, and then combining with 2a results in -3a + 30.

Front

What is the simplified form of -3x + 3(x - 4)?

Back

The simplified form is -12 after distributing and combining like terms.

Front

What is the first step in solving the expression 5(x + 8) + 3?

Back

The first step is to distribute 5 to both x and 8, resulting in 5x + 40.

Front

What do you get when you combine the terms in the expression 5x + 40 + 3?

Back

You get 5x + 43 after combining like terms.

Front

Why is it important to combine like terms when simplifying expressions?

Back

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

Front

What is an example of a term that cannot be combined with others?

Back

A term like 3x cannot be combined with a term like 4y because they have different variables.