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

Responses

subtract 10
subtract 10

multiply by −2
multiply by negative 2

add 10
add 10

divide by −2

To solve the equation −1/2(x+10) = −3, the first operation that should be done is to multiply 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 6.
Divide 75 by 6.

Add 3 to 75.
Add 3 to 75.

Subtract 6 from 75.
Subtract 6 from 75.

Divide 75 by 3.

The first step in solving this problem arithmetically to find the cost of one adult and one child ticket is to 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.

Add 3 to 75
Add 3 to 75

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

Divide 75 by 3.

The next step, which would simplify the equation 3(x + x - 3) = 75 before solving for the variable, is to combine like terms in parentheses.