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 12, and lastly divide by 3.
First, distribute the 3, then add 12, and lastly divide by 3.

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 1/3, then subtract 4.

The correct answer is: First, divide by 3, then subtract 4.

When solving the equation −1/2(x+10)=−3 , identify the operation that should be done first.(1 point)

Responses

divide by −2
divide by negative 2

multiply by −2
multiply by negative 2

subtract 10
subtract 10

add 10

The correct answer is: divide by -2.

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.

Add 3 to 75.
Add 3 to 75.

Subtract 6 from 75.
Subtract 6 from 75.

Divide 75 by 6.

The correct answer is: Divide 75 by 6.

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.

Add 3 to 75
Add 3 to 75

Combine like terms in parentheses.

The correct answer is: Distribute values over the variables.

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

an adult ticket is $8 and a child ticket is $5
an adult ticket is $8 and a child ticket is $5

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 $14 and a child ticket is $11

The correct answer is: an adult ticket is $11 and a child ticket is $8.