### 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. 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 °.

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