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.

$- 5 > 2$
$3 > - 8$
$- 12 > - 15$
$- 12.5 > - 12$

Problem 3

Here is a true statement: $- 8.7 < - 8.4$ . Select all of the statements that are equivalent to $- 8.7 < - 8.4$ .

-8.7 is further to the right on the number line than -8.4.
-8.7 is further to the left on the number line than -8.4.
-8.7 is less than -8.4.
-8.7 is greater than -8.4.
-8.4 is less than -8.7.
-8.4 is greater than -8.7.

Problem 4

Plot each of the following numbers on the number line. Label each point with its numeric value.

$0.4$ , $- 1.5$ , $- 1 \frac{7}{10}$ , $- \frac{11}{10}$

A number line with 5 evenly spaced tick marks, labeled negative 2 through 2.

Problem 5 From Unit 4 Lesson 6

Each lap around the track is 400 meters.

How many meters does someone run if they run:
- 2 laps?
- 5 laps?
- $x$ laps?
If Noah ran 14 laps, how many meters did he run?
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.

$2 x = 3$
$5 y = 3$
$0.3 z = 0.009$