Digits, Grade 7, Volume 1, Homework Helper

7-4: TEKS Practice

  • 1. On a map, 1 inch equals 5 miles. Two cities are 8 inches apart on the map. What is the actual distance between the cities?

  • 2. You make a scale drawing of a banner for a school dance. You use a scale of 1 inch = 3 feet. What is the actual width of the banner?

    A rectangular banner with width = 5 inches.

  • 3. The scale drawing is of a backyard tennis court. The scale is 1 cm = 2 m. What is the actual area of the tennis court?

    A rectangle with length 10 cm and width 5.5 cm.

  • 4. Writing The drawing below of a swimming pool has a scale of 1 inch = 3 meters.

    A rectangle with length 9 in. and width 6 in.

    • a. Find the dimensions of another drawing of this swimming pool with a scale of 2 inches = 5 meters.

    • b. How many different scales are available to use for a scale drawing? Why could one scale be more useful than another?

  • 5. Think About the Process The scale for the drawing of a rectangular playing field is 2 inches = 5 feet.

    A rectangle with length 20 in and width 10 in.

    • a. Find an equation you can use to find the dimensions of the actual field. Use the equation y = x, where x is a dimension of the scale drawing (in inches) and y is the corresponding dimension of the actual field (in feet).

    • b. The actual length of the field is feet.

    • c. The actual width of the field is feet.

  • 6. Think About the Process The blueprint of a concrete patio has a scale of 2 in. = 3 ft. You want to find the dimensions of a new blueprint of the patio with a scale of 4 in. = 5 ft.

    A rectangle with length 14 in. and width 12 in.

    • a. What is the first step in finding the dimensions of the new scale?

      • A. Multiply each dimension on the scale drawing by fraction 2 in. , over 3 ft end fraction to find the actual dimension of the patio.

      • B. Multiply each dimension on the scale drawing by fraction 5 ft , over 4 in. end fraction to find the actual dimension of the patio.

      • C. Multiply each dimension on the scale drawing by fraction 3 ft , over 2 in . end fraction to find the actual dimension of the patio.

    • b. The length of the blueprint with the new scale is in.

    • c. The width of the blueprint with the new scale is in.


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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