combine like terms and distribute

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

How many terms are in the expression 5x + 9 - 4b?

Back

There are 3 terms in the expression: 5x, 9, and -4b.

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

Simplify the expression: -4(8r + 3).

Back

-32r - 12.

Front

What is the result of distributing 5 in the expression 5(2x + 3)?

Back

10x + 15.

Front

How do you factor the expression 4r + 32?

Back

4(r + 8).

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 + or - signs.

Front

What is the coefficient in the term 7x?

Back

The coefficient is 7, which is the number multiplying the variable x.

Front

What does it mean to distribute in algebra?

Back

To distribute means to multiply each term inside a parenthesis by the term outside the parenthesis.

Front

If you have the expression 15b - 5, how can you factor it?

Back

You can factor it as 5(3b - 1).