(1) 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
(A) First, distribute the 3, then add 12, and lastly divide by 3.
First, distribute the 3, then add 12, and lastly divide by 3.
(B) First, distribute the 3, then add 4, and lastly divide by 3.
First, distribute the 3, then add 4, and lastly divide by 3.
(C) First, divide by 3, then subtract 4.
First, divide by 3, then subtract 4.
(D)First, multiply by 1/3, then subtract 4.
First, multiply by Start Fraction 1 over 3 End Fraction, then subtract 4.
(2) When solving the equation −1/2(x+10)=−3, identify the operation that should be done first.(1 point)
Responses
add 10
add 10
multiply by −2
multiply by negative 2
divide by −2
divide by negative 2
subtract 10
(3) 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.
Divide 75 by 3.
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
Divide 75 by 3.
Divide 75 by 3.
Combine like terms in parentheses.
Combine like terms in parentheses.
Distribute values over the variables.
Distribute values over the variables.
Add 3 to 75
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
(A) First, distribute the 3, then add 12, and lastly divide by 3.
(B) First, distribute the 3, then add 4, and lastly divide by 3.
(C) First, divide by 3, then subtract 4.
The correct answer is (B) First, distribute the 3, then add 4, and lastly divide by 3.
The correct answer is divide by -2.
The first step to solving this problem arithmetically is to divide 75 by 6.
The next step to solving this problem algebraically is to combine like terms in parentheses.
The price of each ticket is an adult ticket is $11 and a child ticket is $8.