Distributing and Combing Like Terms HW

Front

What does it mean to distribute in algebra?

Back

To distribute means to multiply a term by each term inside a set of parentheses. For example, in 2(3x - 4), you would multiply 2 by both 3x and -4.

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, you add or subtract the coefficients of the terms that are alike. For example, 3x + 5x = 8x.

Front

What is the first step in simplifying an expression like 2(3x - 4) + 3(4x - 3)?

Back

The first step is to distribute the numbers outside the parentheses to each term inside the parentheses.

Front

What is the result of distributing 3 to (4x - 3)?

Back

The result is 12x - 9.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to make the expression as simple as possible.

Front

What is the simplified form of 5a + 2b - 7b + 4a?

Back

The simplified form is 9a - 5b.

Front

How do you evaluate an expression like 4(t - 2) + 3 when t = 10?

Back

Substitute 10 for t, then simplify: 4(10 - 2) + 3 = 4(8) + 3 = 32 + 3 = 35.

Front

What is the result of simplifying -8 - 9(5 + 2x)?

Back

The result is -18x - 53.

Front

What is the simplified form of x + 4 - 7(x - 5)?

Back

The simplified form is -6x + 39.