Lesson 2: Practice Problems

Problem 1

Plot the following points on a number line.

  • -1.5

  • the opposite of -2

  • the opposite of 0.5

  • -2

Problem 2

Decide whether each inequality statement is true or false. Explain your reasoning.

Problem 3

Here is a true statement: . Select all of the statements that are equivalent to .

  1. -8.7 is further to the right on the number line than -8.4.

  2. -8.7 is further to the left on the number line than -8.4.

  3. -8.7 is less than -8.4.

  4. -8.7 is greater than -8.4.

  5. -8.4 is less than -8.7.

  6. -8.4 is greater than -8.7.

Problem 4

The table shows five states and the lowest point in each state.

state

lowest elevation (feet)

California

Colorado

Louisiana

New Mexico

Wyoming

Put the states in order by their lowest elevation, from least to greatest.

Problem 5 From Unit 4 Lesson 6

Each lap around the track is 400 meters.

  1. How many meters does someone run if they run:

    • 2 laps?

    • 5 laps?

    • laps?

  2. If Noah ran 14 laps, how many meters did he run?

  3. If Noah ran 7,600 meters, how many laps did he run?

Problem 6 From Unit 4 Lesson 5

Write the solution to each equation as a fraction and as a decimal.