Lesson 8: Practice Problems

Problem 1

A number line can represent positions that are north and south of a truck stop on a highway. Decide whether you want positive positions to be north or south of the truck stop. Then plot the following positions on a number line.

  1. The truck stop

  2. 5 miles north of the truck stop

  3. 3.5 miles south of the truck stop

Problem 2

  1. How could you distinguish between traveling west at 5 miles per hour and traveling east at 5 miles per hour without using the words “east” and “west”?

  2. Four people are cycling. They each start at the same point. (0 represents their starting point.) Plot their finish points after five seconds of cycling on a number line

    • Lin cycles at 5 meters per second

    • Diego cycles at -4 meters per second

    • Elena cycles at 3 meters per second

    • Noah cycles at -6 meters per second

Problem 3 From Unit 5 Lesson 6

Find the value of each expression.

Problem 4 From Unit 5 Lesson 5

For each equation, write two more equations using the same numbers that express the same relationship in a different way.

Problem 5 From Unit 4 Lesson 10

A shopper bought a watermelon, a pack of napkins, and some paper plates. In his state, there is no tax on food. The tax rate on non-food items is 5%. The total for the three items he bought was $8.25 before tax, and he paid $0.19 in tax. How much did the watermelon cost?

Problem 6 From Unit 2 Lesson 10

Which graphs could not represent a proportional relationship? Explain how you decided.

  1. Graph of a line labeled in the xy coordinate plane with the origin labeled “O”. The x axis has the numbers 0, 5, and 10 indicated. The y axis has the numbers 0 and 5. the line begins at the origin and moves steadily upward and to the right.
  2. Graph of a curve labeled in the xy coordinate plane with the origin labeled “O”. The x axis has the numbers 0, 5, and 10 indicated. The y axis has the numbers 0 and 5. The curve begins at the origin and moves upward and to the right. It moves slowly in the beginning and then goes steeply upward.
  3. Graph of a line labeled in the xy coordinate plane with the origin labeled “O”. The x axis has the numbers 0, 5, and 10 indicated. The y axis has the numbers 0 and 5. The line begins at the origin and moves slowly upward and to the right.
  4. Graph of a line labeled in the xy coordinate plane with the origin labeled “O”. The x axis has the numbers 0, 5, and 10 indicated. The y axis has the numbers 0 and 5. The line begins on the vertical axis and above the origin. It moves slowly upward and to the right.