Combine Like Terms and Distributive Property

Front

What does it mean to combine like terms in an 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?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

Distribute and then Combine Like Terms: 2(5x + 6) + 7

Back

10x + 19

Front

Which terms can be combined in the expression: 3x + 7 - 9x + 24y + 2x²?

Back

3x and -9x

Front

Combine Like Terms: 12y - 8 + 3y - 2

Back

15y - 10

Front

Combine Like Terms: 5a + 2b - 7b + 4a

Back

9a - 5b

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value.

Front

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

Back

2x² cannot be combined with 3x because they are not like terms.

Front

If you have the expression 4x + 3 - 2x + 5, what is the simplified form?

Back

2x + 8

Front

What is the first step in using the Distributive Property?

Back

Multiply the term outside the parentheses by each term inside the parentheses.