8-5: TEKS Practice

  • 1. The perimeter of a standard-sized rectangular rug is 32 ft. The length is 2 ft greater than the width. Find the dimensions using the following system.

    2 + w = ℓ

    2w + 2ℓ = 32

  • 2. A rental company charges $42.00 a day plus $0.36 per mile to rent a moving truck. The total cost, y, for a day's rental if x miles are driven is described by y = 0.36x + 42. A second company charges $34.00 a day plus $0.46 per mile, so the daily cost, y, if x miles are driven is described by y = 0.46x + 34. The graphs of the two equations are shown in the same rectangular coordinate system.

    A graph of the relationship between miles driven and total daily cost.

    • a. Determine from the graph the x-coordinate of the intersection point of the two graphs.

    • b. Describe what this x-coordinate means in practical terms. Choose the correct answer below.

      • A. The maximum amount of miles that can be driven is 80.

      • B. The maximum amount that both companies charge is $80.

      • C. Both companies charge $80 for the same number of miles driven.

      • D. Both companies charge the same for 80 miles driven.

    • c. Substitute the x-coordinate of the intersection point from part (a) into one of the two equations. Find the corresponding value for y.

    • d. Describe what this value represents in practical terms. Choose the correct answer below.

      • A. Both companies charge $70.80 for 70 miles driven.

      • B. Both companies always charge more than $70.80.

      • C. Both companies charge $70.80 for 80 miles driven.

      • D. Both companies always charge less than $70.80.

  • 3. A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,300 ft. Determine the flag's width and length if the length is 410 ft greater than the width.

  • 4. You are choosing between two long-distance telephone plans. Plan A has a monthly fee of $30.00 with a charge of $0.05 per minute for all long-distance calls. Plan B has a monthly fee of $5.00 with a charge of $0.10 per minute for all long-distance calls.

    • a. For how many minutes of long-distance calls will the costs for the two plans be the same? What will be the cost for each plan?

    • b. If you make approximately 10 long-distance calls per month, each averaging 30 minutes, which plan should you select?

  • 5. Over a season in a women's basketball league Jackie scored 42 more points than the second-highest scorer, Leslie. Together, Jackie and Leslie scored 1210 points during the season. How many points did each player score over the course of the season?

  • 6. Find the measures of two complimentary angles if one angle is 10° more than three times the other angle.

    • a. The smaller angle measures °.

    • b. The larger angle measures °.


End ofPage 289

Table of Contents

Digits, Grade 8, Volume 1, Homework Helper Unit A: Number and Operations Unit B: Proportionality Unit C: Expressions, Equations, and Relationships English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties