1. Last night, 4 friends went out to dinner at a restaurant. They split the bill evenly. Each friend paid $12.75. If B represents the total bill in dollars, what equation could you use to find the value of B?
A. B + 4 = 12.75
B. 4B = 12.75
C. b over 4 , equals , 12.75
D. B − 4 = 12.75
2. A farmer ships oranges in crates that weigh 6.1 lb each when empty. Each orange weighs 0.38 lb. The total weight of a crate filled with oranges is 63.1 lb. Write a word equation you could use to find the number of oranges packed in each crate.
A. total weight = weight of crate + (weight of one orange) × (number of oranges)
B. total weight = weight of crate + weight of one orange + number of oranges
C. total weight = (weight of crate) × (weight of one orange) + number of oranges
D. total weight = weight of crate − (weight of one orange) × (number of oranges)
E. total weight = (weight of crate) × (weight of one orange) × (number of oranges)
3. At a graduation dinner, an equal number of guests were seated at each of 3 large tables, and 7 late-arriving guests were seated at a smaller table. There were 37 guests in all. If n represents the number of people seated at each of the large tables, what equation could you use to find the value of n?
A. 3n − 7 = 37
B. 3n + 7 = 37
C. 7n + 3 = 37
D. 7n − 3 = 37
4. Which answer shows the equation 7x − 18 = 17 in words?
A. Eighteen less than seven times a number is 17.
B. Seven less than eighteen times a number is 17.
C. Seven more than eighteen times a number is 17.
D. Eighteen more than seven times a number is 17.
5. Open-Ended
a. Write an equation to represent the following description.
Fourteen more than three times a number is 12.
A. 14x − 3 = 12
B. 3(x + 14) = 12
C. 3x + 14 = 12
D. 3x − 14 = 12
E. 14x + 3 = 12
b. Describe a real-world situation the equation could represent.
6.
a. Writing You want to buy a pet iguana that costs $48. You already have $12 and you plan to save $9 per week. If w represents the number of weeks until you have enough money to buy the iguana, what equation could you use to find the value of w?
A. 9 − 12w = 48
B. 12w − 9 = 48
C. 9w + 12 = 48
D. 12 − 9w = 48
E. 9w − 12 = 48
F. 12w + 9 = 48
b. Explain how you could set up an equation to find the amount of money you should save each week if you want to buy the iguana in six weeks.