Question

Question 1
A)One method for solving 3(x−4)=18
is to first divide by 3, then add 4. Which method below would also result in the correct answer?(1 point)
Responses

First, distribute the 3, then add 4, and lastly divide by 3.
First, distribute the 3, then add 4, and lastly divide by 3.

First, divide by 3, then subtract 4.
First, divide by 3, then subtract 4.

First, multiply by 13
, then subtract 4.
First, multiply by Start Fraction 1 over 3 End Fraction , then subtract 4.

First, distribute the 3, then add 12, and lastly divide by 3.
First, distribute the 3, then add 12, and lastly divide by 3.
Question 2
A)When solving the equation −12(x+10)=−3
, identify the operation that should be done first.(1 point)
Responses

add 10
add 10

subtract 10
subtract 10

divide by −2
divide by negative 2

multiply by −2
multiply by negative 2
Question 3
A)Three adult and three child movie tickets were purchased for $75. The cost of each child ticket is $3 less than the cost of an adult ticket. Identify the first step if solving this problem arithmetically, which would find the cost of one adult and one child ticket. (1 point)
Responses

Divide 75 by 3.
Divide 75 by 3.

Divide 75 by 6.
Divide 75 by 6.

Subtract 6 from 75.
Subtract 6 from 75.

Add 3 to 75.
Add 3 to 75.
Question 4
A)Three adult and three child movie tickets were purchased for $75. The cost of each child ticket is $3 less than the cost of an adult ticket. The first step to solving this problem algebraically is to write an equation: 3(x+x−3)=75
, where x
represents the cost of an adult ticket. Identify the next step, which would simplify the equation before solving for the variable. (1 point)
Responses

Distribute values over the variables.
Distribute values over the variables.

Divide 75 by 3.
Divide 75 by 3.

Combine like terms in parentheses.
Combine like terms in parentheses.

Add 3 to 75
Add 3 to 75
Question 5
A)Three adult and three child movie tickets were purchased for $75. The cost of each child ticket is $3 less than the cost of an adult ticket. Find the price of each ticket.(1 point)
Responses

an adult ticket is $14 and a child ticket is $11
an adult ticket is $14 and a child ticket is $11

an adult ticket is $11 and a child ticket is $8
an adult ticket is $11 and a child ticket is $8

an adult ticket is $12.50 and a child ticket is $9.50
an adult ticket is $12.50 and a child ticket is $9.50

an adult ticket is $8 and a child ticket is $5
an adult ticket is $8 and a child ticket is $5
also add summary of all the anwsers at the end

Answer 1

Here are the answers for each question along with a summary at the end:

### Question 1
**Response:** First, divide by 3, then subtract 4.

### Question 2
**Response:** Multiply by −2.

### Question 3
**Response:** Divide 75 by 6.

### Question 4
**Response:** Distribute values over the variables.

### Question 5
**Response:** An adult ticket is $11 and a child ticket is $8.

### Summary of All Answers:
1. First, divide by 3, then subtract 4.
2. Multiply by −2.
3. Divide 75 by 6.
4. Distribute values over the variables.
5. An adult ticket is $11 and a child ticket is $8.