Correctly select the steps to solve the given equation.

Question

3x−7−2x+5=6


*Remember to include to optional first step.*

(1 point)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Step 1:
Step 2:
Step 3:

optional: use the communitive property to help combining like terms
3x-2x-7+5=6

optional: use the commutative property to help with combining like terms
3x+2x-7+5

Answer 1

Here are the steps to solve the equation \( 3x - 7 - 2x + 5 = 6 \):

Step 1: (optional) Use the commutative property to help combining like terms
Response: 3x - 2x - 7 + 5 = 6

Step 2: Combine like terms
Response: x - 2 = 6

Step 3: Solve for x
Response: x = 8

So, you would fill in the steps like this:

Step 1: 3x - 2x - 7 + 5 = 6
Step 2: x - 2 = 6
Step 3: x = 8

Answer 2

step 3 options:
use one more operation to solve for x
use two more operations to solve for x

Answer 3

For Step 3, you can choose either of the following options:

Step 3: Use one more operation to solve for x
Response: Add 2 to both sides: \( x - 2 + 2 = 6 + 2 \) which simplifies to \( x = 8 \).

Or,

Step 3: Use two more operations to solve for x
Response: First, add 2 to both sides: \( x - 2 + 2 = 6 + 2 \) to get \( x = 8 \).

Choose the option that best fits your needs!

Answer 4

Solve for x.

3x−7−2x+5=6

(1 point)
Responses

x = 7
x = 7

x = -8
x = -8

x = 8
x = 8

x = 4

Answer 5

Let's solve the equation step by step:

Given the equation:

\[ 3x - 7 - 2x + 5 = 6 \]

1. Combine like terms: \[ (3x - 2x) + (-7 + 5) = 6 \] This simplifies to: \[ x - 2 = 6 \]

2. Add 2 to both sides to solve for \(x\): \[ x - 2 + 2 = 6 + 2 \] Thus: \[ x = 8 \]

The correct response is:

x = 8

Answer 6

In Atlanta, the temperature was −2 °F
in the morning in the winter. There was a winter storm, and the temperature dropped 10 degrees. What is the temperature now?(1 point)
Responses

−12 °F
−12 °F

12 °F
12 °F

−8 °F
−8 °F

8 °F

Answer 7

To find the new temperature, we start with the initial temperature of -2 °F and then subtract the 10 degrees due to the temperature drop.

The calculation is as follows:

\[ -2 °F - 10 °F = -12 °F \]

Therefore, the temperature now is:

−12 °F

Answer 8

A mountain climber starts a climb at an elevation of 380 ft. above sea level. At his first rest stop he has climbed 182 ft., and by his second rest stop he has climbed another 208 ft. It is getting late in the day, so the climber starts his way down the mountain. If the climber descends 235 ft, how much does he need to descend to return to his original starting point?(1 point)
Responses

155 feet
155 feet

78 feet
78 feet

535 feet
535 feet

235 feet

Answer 9

To solve this problem, we can break it down step by step:

1. Initial elevation: 380 ft above sea level.

2. First rest stop: Climbs 182 ft. \[ 380 , \text{ft} + 182 , \text{ft} = 562 , \text{ft} \]

3. Second rest stop: Climbs another 208 ft. \[ 562 , \text{ft} + 208 , \text{ft} = 770 , \text{ft} \]

4. Descent: Climbs down 235 ft. \[ 770 , \text{ft} - 235 , \text{ft} = 535 , \text{ft} \]

5. To return to the original starting point: The climber needs to descend from 535 ft back to 380 ft: \[ 535 , \text{ft} - 380 , \text{ft} = 155 , \text{ft} \]

So, the climber needs to descend 155 feet to return to his original starting point.

The correct response is:

155 feet

Answer 10

Tickets to the baseball game are on sale for $1.50 off the regular price. Dea buys 6 tickets. If her total cost is $51, how much is the regular price of each ticket?(1 point)
Responses

$10.00
$10.00

$7.00
$7.00

$8.25
$8.25

$8.75

Answer 11

To find the regular price of each ticket, we can set up the equation based on the information given.

1. Let the regular price of each ticket be \( p \).
2. Since tickets are on sale for $1.50 off the regular price, the sale price of each ticket is \( p - 1.50 \).
3. Dea buys 6 tickets at the sale price for a total of $51, which gives us the equation:

\[ 6(p - 1.50) = 51 \]

4. Distributing the 6, we get:

\[ 6p - 9 = 51 \]

5. Now, add 9 to both sides:

\[ 6p = 60 \]

6. Finally, divide by 6 to solve for \( p \):

\[ p = 10 \]

Therefore, the regular price of each ticket is $10.00.

The correct response is:

$10.00