Digits, Grade 7, Volume 1, Homework Helper

### 8-4: TEKS Practice

• 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?

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