Question

simplify the expression: (2x + 2) - (3x + 11)

Answer 1

simplify the expression: 6(3x - 5) + 2(3x - 5) - 8(3x - 5)

Answer 2

which expression is equivalent to -5x - 5x + 3x - 3x

Answer 3

4x + 6(3x - 2)

Answer 4

Simplify 1/3(9x - 5)

Answer 5

Which factorization is equivalent to this expression? 81x - 36

Answer 6

To simplify the expression (2x + 2) - (3x + 11), we need to distribute the negative sign to both terms inside the second parentheses:

(2x + 2) - (3x + 11)
= 2x + 2 - 3x - 11

Now, let's combine like terms:

= (2x - 3x) + (2 - 11)
= -x - 9

Therefore, the simplified expression is -x - 9.

Answer 7

To simplify the expression 6(3x - 5) + 2(3x - 5) - 8(3x - 5), we will first simplify each term separately and then combine like terms.

First, distribute the numbers outside the parentheses:

6(3x - 5) = 18x - 30
2(3x - 5) = 6x - 10
8(3x - 5) = 24x - 40

Now, substitute these simplified terms back into the expression:

18x - 30 + 6x - 10 - 24x + 40

Next, combine like terms:

(18x + 6x - 24x) + (-30 - 10 + 40)
= 0x + 0
= 0

Therefore, the simplified expression is 0.

Answer 8

To simplify the expression -5x - 5x + 3x - 3x, we'll combine like terms:

-5x - 5x + 3x - 3x

Combining the terms with the same variable (x), we have:

(-5x - 5x) + (3x - 3x)
= -10x + 0x
= -10x

Therefore, the expression -5x - 5x + 3x - 3x is equivalent to -10x.

Answer 9

To simplify the expression 4x + 6(3x - 2), we will distribute the 6 to the terms inside the parentheses:

4x + 6(3x - 2)
= 4x + 6 * 3x - 6 * 2
= 4x + 18x - 12

Now, combine like terms:

= (4x + 18x) - 12
= 22x - 12

Therefore, the simplified expression is 22x - 12.

Answer 10

To simplify the expression 1/3(9x - 5), we will distribute the 1/3 to the terms inside the parentheses:

1/3(9x - 5) = (1/3) * 9x - (1/3) * 5

Multiplying each term by 1/3:

= (9/3)x - (5/3)
= 3x - 5/3

Therefore, the simplified expression is 3x - 5/3.

Answer 11

The factorization that is equivalent to the expression 81x - 36 is 9(9x - 4).

To arrive at this factorization, notice that both 81 and 36 have a common factor of 9. Then, divide each term by 9:

81x / 9 = 9x
36 / 9 = 4

So, the factorization is 9(9x - 4), which is equivalent to 81x - 36.