Combining Like Terms and Distributive Property

Front

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

Back

Combining like terms means to add or subtract 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 a coefficient in an algebraic expression?

Back

A coefficient is the numerical factor that multiplies a variable in an expression.

Front

Identify the constant in the expression: 12e + 7.

Back

The constant in the expression is 7.

Front

What is the result of simplifying the expression 3(9 + 2d) + 4d?

Back

The simplified expression is 27 + 10d.

Front

How many terms are in the expression 3 + 2b + c + 100 + 6b?

Back

There are 5 terms in the expression.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you multiply a term by each term inside the parentheses.

Front

How do you apply the distributive property to the expression 5(2 + 3)?

Back

Using the distributive property, 5(2 + 3) = 5*2 + 5*3 = 10 + 15 = 25.

Front

What is a term in an algebraic expression?

Back

A term is a single mathematical expression that can be a number, a variable, or a combination of both, separated by addition or subtraction.

Front

What is the difference between a variable and a constant?

Back

A variable is a symbol that represents an unknown value, while a constant is a fixed value that does not change.