Lesson 17: Practice Problems

Problem 1

A car is traveling down a road at a constant speed of 50 miles per hour.

  1. Complete the table with the amounts of time it takes the car to travel certain distances, or the distances traveled for certain amounts of time.

    time (hours)

    distance (miles)

  2. Write an equation that represents the distance traveled by the car, , for an amount of time, .

  3. In your equation, which is the dependent variable and which is the independent variable?

Problem 2

The graph represents the amount of time in hours it takes a ship to travel various distances in miles.

A graph of 10 points plotted on the coordinate plane with the origin labeled "O". The horizontal d axis is labeled "distance traveled in miles". The numbers 0 through 250, in increments of 25, are indicated, and there are vertical gridlines midway between. The vertical t axis is labeled "time in hours". The numbers 0 through 10, in increments of 2, are indicated, and there are horizontal gridlines midway between. The data are as follows: 25 comma 1. 50 comma 2. 75 comma 3. 100 comma 4. 125 comma 5. 150 comma 6. 175 comma 7. 200 comma 8. 225 comma 9. 250 comma 10.

  1. Write the coordinates of one point on the graph. What does the point represent?

  2. What is the speed of the ship in miles per hour?

  3. Write an equation that relates the time, , it takes to travel a given distance, .

Problem 3 From Unit 6 Lesson 15

Find a solution to each equation in the list that follows (not all numbers will be used):

List:

1

2

3

4

5

7

8

10

16

Problem 4 From Unit 6 Lesson 11

Select all the expressions that are equivalent to .

Problem 5

Evaluate each expression if is 1, is 2, and is 3.