1. A family went to a baseball game. They parked the car in a parking lot that charged $10. The cost per ticket was $27.
a. Write an equation for the total cost of going to the baseball game, where y is the total cost and x is the total number of people.
b. How many people went to the baseball game if the family spent $226?
2. A fitness walker walking at a constant speed finishes his first 2.25-mile lap around a lake in 45 minutes.
a. Which linear function models the number of minutes t it takes to walk any distance d?
A. t equals , 45 d
B. t equals 9 d
C. t equals , 20 d
D. t equals , 2.25 , d
b. How many minutes will it take to walk his goal of 9 miles?
3. A math problem on a test asks the students to write and solve an equation for the following scenario. A town plants a tree in the park on the 300th anniversary of the town. The tree is 8 feet tall when it is planted. The local nursery says that the tree will grow 3 feet every year. Liam says the equation is y equals 8 x plus 3 and after 4 years the tree will be 20 feet tall.
a. Write the correct equation that represents the height of the tree, where y is the total height and x is the number of years since it was planted.
b. What error might Liam have made?
A. Liam switched the m and b terms of the equation.
B. Liam did not find the correct number of years that passed.
C. Liam switched the m and b terms of the equation and did not find the correct number of years that have gone by.
4. Two friends are going on a vacation. The hotel room they are staying in is $150 per night. The total cost for both tickets to a theme park is $75.
a. Write an equation for the amount the friends will spend on the vacation, where y is the total cost of the vacation and x is the total number of nights.
b. For how many nights are the friends going on vacation if they plan to spend $525?
c. Draw algebra tiles to solve for the number of nights that the friends are on vacation.
5. Bailey is counting how much money she has in change. There are nickels, dimes, and quarters. She has a total of $6 in dimes and nickels.
a. Write an equation to represent the value of the change, where y is the value in dollars and x is the number of quarters.
b. If Bailey has $12 in change, how many quarters does she have?
6. Bill and Sean were selling candles to raise funds for their class trip. Together they had a goal to raise $2000. Bill sold 12 candles, earning $300. Sean sold 40 candles, earning $1000. Bill states that since $1000 is half the goal, they need to sell 40 more candles.
a. Write a linear function of the form y = m x that models this situation, where y is the money made in dollars, and x is the number of candles sold.
b. What is the total number of candles that must be sold to raise $2000?
c. How many more candles must be sold to reach the goal?
d. What may have been Bill's mistake?