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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Table of Contents

Digits, Grade 7, Volume 1, Homework Helper Unit A: Number and Operations Unit B: Expressions, Equations, and Relationships Unit C: Measurement and Geometry Unit D: Proportionality English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties