Which of the following are equivalent to 9x - 27?
Select ALL that apply.
9(x - 3)

3(3x - 9)

x(9x - 3)

3(3x - 7)

3(x - 9)

Answers

Answer 1

Answer:

1) 9(x - 3) = 9x - 27. So, 1) applies.

2) 3(3x - 9) = 9x - 27. So, 2) applies.

3) x(9x - 3) = 9[tex]x^{2}[/tex] - 3x. So, 3) dosn't apply.

4) 3(3x - 7) = 9x - 21. S0, 4) dosn't apply.

5) 3(x - 9) = 3x - 27. So, 5) also dosn't apply.

Step-by-step explanation:

1) 9(x - 3) = 9x - 27. So, 1) applies.

2) 3(3x - 9) = 9x - 27. So, 2) applies.

3) x(9x - 3) = 9[tex]x^{2}[/tex] - 3x. So, 3) dosn't apply.

4) 3(3x - 7) = 9x - 21. S0, 4) dosn't apply.

5) 3(x - 9) = 3x - 27. So, 5) also dosn't apply.

Answer 2

The expressions that are equivalent to 9x - 27 are:

9(x - 3)

3(3x - 9)

To determine which expressions are equivalent to 9x - 27, let's simplify each of the given options:

9(x - 3):

Expanding the expression, we get 9x - 27.

This expression is equivalent to 9x - 27.

3(3x - 9):

Expanding the expression, we get 9x - 27.

This expression is equivalent to 9x - 27.

x(9x - 3):

Expanding the expression, we get 9x² - 3x.

This expression is NOT equivalent to 9x - 27.

3(3x - 7):

Expanding the expression, we get 9x - 21.

This expression is NOT equivalent to 9x - 27.

3(x - 9):

Expanding the expression, we get 3x - 27.

This expression is NOT equivalent to 9x - 27.

Therefore, the expressions that are equivalent to 9x - 27 are:

9(x - 3)

3(3x - 9)

So, the correct options are 1 and 2.

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