Which equation is equivalent to 4x + 3 + (-3x) + 7x - 6x = 11?

11 answers

4x - 3 = 11
Responses are:
A. 8x + 3 = 11
B. 2x + 3 = 11
C. 5x = 11
D. -4x = 11
The correct answer is A. 8x + 3 = 11
Select the expression equivalent to (-13x - 15) - (-9x + 16)
To find the expression equivalent to (-13x - 15) - (-9x + 16), we need to distribute the negative sign in the second parentheses:

-13x - 15 + 9x - 16

Now combine like terms:

-13x + 9x - 15 - 16
= -4x - 31

Therefore, the expression equivalent to (-13x - 15) - (-9x + 16) is -4x - 31.
Which of the following is a simplified version of 12 - 2 (x + 1) = 5?
The equation is 12 - 2(x + 1) = 5.

To simplify the equation, distribute the -2 to both terms inside the parentheses:

12 - 2x - 2 = 5

Combine like terms:

10 - 2x = 5

Therefore, the simplified version is 10 - 2x = 5.
Responses are:
A. -2x + 10 = 5
B. -2x + 13 = 5
C. 10x + 1 = 5
D. 10x + 10 = 5
The correct answer is B. -2x + 10 = 5
Which equation is equivalent to 3 + 5(x + 2) = 12?
To solve the equation 3 + 5(x + 2) = 12:

First, distribute the 5 to both terms in the parenthesis:

3 + 5x + 10 = 12

Combine like terms:

5x + 13 = 12

Subtract 13 from both sides:

5x = -1

Divide by 5 to isolate x:

x = -1/5

So, the equation equivalent to 3 + 5(x + 2) = 12 is x = -1/5.