Lesson 4: Practice Problems

Problem 1

A certain ceiling is made up of tiles. Every square meter of ceiling requires 10.75 tiles. Fill in the table with the missing values.

square meters of ceiling

number of tiles

Problem 2

On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, , to the number of hours flying, , is . How long will it take the airplane to travel 800 miles?

Problem 3

Each table represents a proportional relationship. For each, find the constant of proportionality, and write an equation that represents the relationship.

  1. Constant of proportionality:

    Equation:

  2. Constant of proportionality:

    Equation:

Problem 4 From Unit 1 Lesson 11

A map of Colorado says that the scale is 1 inch to 20 miles or 1 to 1,267,200. Are these two ways of reporting the scale the same? Explain your reasoning.

Problem 5 From Unit 1 Lesson 3

Here is a polygon on a grid.

  1. Draw a scaled copy of the polygon using a scale factor of 3. Label the copy .

    A polygon aligned to a square grid. The polygon is made up of two shapes, joined together on an edge. To the left is a square that has side lengths of 2 units. On the right of the square, is an isosceles triangle with its 2 unit length base joined to the edge of the square. The vertex of the triangle is 2 units to the right.

  2. Draw a scaled copy of the polygon with a scale factor . Label it .

  3. Is Polygon a scaled copy of Polygon ? If so, what is the scale factor that takes to ?