Combining like terms/Properties/Factoring 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. For example, in the expression 3x + 4x, you can combine them to get 7x.

Front

What is the Associative Property of Addition?

Back

The Associative Property of Addition states that the way in which numbers are grouped when adding does not change the sum. For example, (2 + 3) + 4 = 2 + (3 + 4).

Front

What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, 5 + 2 = 2 + 5.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a parenthesis.

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors. For example, factoring 12x + 8 gives you 4(3x + 2).

Front

How do you factor the expression 16 + 24x?

Back

You can factor 16 + 24x as 8(2 + 3x).

Front

What is the result of simplifying the expression 4k + 6k - 3k + 3s - s?

Back

The simplified expression is 7k + 2s.

Front

What is the result of simplifying the expression 11(9 + d)?

Back

The simplified expression is 99 + 11d.

Front

What is the Identity Property of Addition?

Back

The Identity Property of Addition states that adding zero to any number does not change the number. For example, a + 0 = a.

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2x and 5x are like terms.