Question 1

Question

A)Identify the first step in solving this equation for x
: 7(x − 8) = 49
. (1 point)
Responses

Divide both sides by 7.
Divide both sides by 7.

Add 8 to both sides.
Add 8 to both sides.

Multiply both sides by 7.
Multiply both sides by 7.

Divide only the left side by 7.
Divide only the left side by 7.
Question 2
A)Identify the second step in solving this equation for y
: −3(y + 6) = 21
. (1 point)
Responses

Add 6 to both sides.
Add 6 to both sides.

Subtract 6 from both sides.
Subtract 6 from both sides.

Divide both sides by −3
.
Divide both sides by negative 3.

Divide both sides by 6.
Divide both sides by 6.
Question 3
A) For which equation is the order of steps to first divide both sides by 6 and then to add 8 to both sides?(1 point)
Responses

8(x − 6) = 48
8 left parenthesis x minus 6 right parenthesis equals 48

6(x + 8) = 48
6 left parenthesis x plus 8 right parenthesis equals 48

6(x − 8) = 48
6 left parenthesis x minus 8 right parenthesis equals 48

6x − 8 = 48
6 x minus 8 equals 48
Question 4
A)For which equation is the order of steps to first divide both sides by 2 and then to subtract 10 from both sides?(1 point)
Responses

10(x + 2) = 16
10 Left Parenthesis x plus 2 Right Parenthesis equals 16

2(x + 10) = 16
2 Left Parenthesis x plus 10 Right Parenthesis equals 16

2x + 10 = 16
2 x plus 10 equals 16

2(x − 10) = 16
2 Left Parenthesis x minus 10 Right Parenthesis equals 16
Question 5
A)What is the solution of the equation −4(z + 12) = 36
when solving for z
? (1 point)
Responses

−21
negative 21

21
21

24
24

−6
negative 6

Answer 1

Here are the answers to your questions:

Question 1:
The first step in solving the equation \(7(x - 8) = 49\) is:

• Divide both sides by 7.

Question 2:
The second step in solving the equation \(-3(y + 6) = 21\) is:

• Divide both sides by -3.

Question 3:
The equation for which the order of steps to first divide both sides by 6 and then to add 8 to both sides is:

• 6(x - 8) = 48.

Question 4:
The equation for which the order of steps to first divide both sides by 2 and then to subtract 10 from both sides is:

• 2(x + 10) = 16.

Question 5:
The solution of the equation \(-4(z + 12) = 36\) when solving for \(z\) is:

1. First, divide both sides by -4:
   \(z + 12 = -9\).
2. Next, subtract 12 from both sides:
   \(z = -21\).

So the answer is:

• −21.