Lesson 16: Practice Problems

Problem 1

A landscape architect is designing a pool that has this top view:

A polygon with sides (in feet): 12, 9, 10.7, 1.5, and 11. There are right angles between 9 and 12, 12 and 11, and 11 and 1.5.

  1. How much water will be needed to fill this pool 4 feet deep?

  2. Before filling up the pool, it gets lined with a plastic liner. How much liner is needed for this pool?

  3. Here are the prices for different amounts of plastic liner. How much will all the plastic liner for the pool cost?

    plastic liner (ft²)

    cost ($)

Problem 2 From Unit 7 Lesson 13

  1. Shade in a base of the trapezoidal prism. (The base is not the same as the bottom.)

    A diagram of a trapezoidal prism. The trapezoid base has a height of 4 and a base of 8. The top is 4 and the diagonal is 5. The height of the prism is 12

  2. Find the area of the base you shaded.

  3. Find the volume of this trapezoidal prism.

Problem 3 From Unit 4 Lesson 9

For each diagram, decide if is an increase or a decrease of . Then determine the percentage that increased or decreased to result in .

  1. A tape diagram with 3 blue segment labeled "x" and a white segment. A second diagram with one yellow segment labeled "y", the same length as the first diagram.
  2. A tape diagram with 3 blue segment labeled "x" and two white segments. A second diagram with one yellow segment labeled "y", the same length as the first diagram.
  3. A tape diagram with 3 blue segments labeled "x". A second diagram with one yellow segment the same length as two blue segments and labeled "y"
  4. A tape diagram with 3 blue segments labeled "x". A second diagram with one yellow segment the same length as one blue segment and labeled "y"

Problem 4 From Unit 4 Lesson 10

Noah is visiting his aunt in Texas. He wants to buy a belt buckle whose price is $25. He knows that the sales tax in Texas is 6.25%.

  1. How much will the tax be on the belt buckle?

  2. How much will Noah spend for the belt buckle including the tax?

  3. Write an equation that represents the total cost, , of an item whose price is .