~ Combining Like-Terms ~

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable. For example, 3x + 5x = (3 + 5)x = 8x.

Front

Simplify: -5 - 12x + 1 - 19x

Back

-31x - 4

Front

Simplify: x + 40 + x - 19

Back

2x + 21

Front

Simplify: 22n + 15 + 1 - 23n

Back

-n + 16

Front

Simplify: 10p + 36 - 2p

Back

8p + 36

Front

Simplify: -7 + 5x - 3x - 12x

Back

-10x - 7

Front

What is the coefficient in the term 7x?

Back

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

Front

What is a constant term?

Back

A constant term is a term that does not contain any variables. For example, in the expression 3x + 5, the number 5 is a constant term.

Front

What happens when you combine a term with a positive coefficient and a term with a negative coefficient?

Back

When you combine a term with a positive coefficient and a term with a negative coefficient, you subtract the smaller absolute value from the larger absolute value and keep the sign of the term with the larger absolute value.