(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?
(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.
(D)First, multiply by 1/3, then subtract 4.
(2) When solving the equation −1/2(x+10)=−3, identify the operation that should be done first.
(A) add 10
(B) multiply by −2
(C) divide by −2
(D) 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.
(A) Divide 75 by 6.
(B) Add 3 to 75.
(C) Subtract 6 from 75.
(D) Divide 75 by 3.
(4) 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.
(A) Divide 75 by 3.
(B) Combine like terms in parentheses.
(C) Distribute values over the variables.
(D) Add 3 to 75
(5) 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.
(A) an adult ticket is $14 and a child ticket is $11
(B) an adult ticket is $11 and a child ticket is $8
(C) an adult ticket is $12.50 and a child ticket is $9.50
(D) an adult ticket is $8 and a child ticket is $5
(1) B) First, distribute the 3, then add 4, and lastly divide by 3.
(2) B) multiply by -2
(3) A) Divide 75 by 6.
(4) C) Distribute values over the variables.
(5) C) an adult ticket is $12.50 and a child ticket is $9.50