Combining 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

Can x terms and y terms be added or subtracted together?

Back

No, x terms and y terms cannot be combined because they are not like terms.

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

What is the result of applying the Distributive Property to 3(9 + 2d)?

Back

The result is 27 + 6d.

Front

If 7 + (4 + 2) = 13, what is (7 + 4) + 2?

Back

(7 + 4) + 2 also equals 13, demonstrating the Associative Property.

Front

What is a variable in algebra?

Back

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

Front

What is the simplified form of 3(9 + 2d) + 4d?

Back

The simplified form is 27 + 10d.

Front

How do you solve for a missing number in an equation?

Back

To solve for a missing number, isolate the variable by performing inverse operations to both sides of the equation.

Front

What is the missing number in the equation 4 + (____ + 5) = (4 + 7) + 5?

Back

The missing number is 7.

Front

What is the Associative Property of Addition?

Back

The Associative Property of Addition states that the way in which numbers are grouped does not change their sum.