Lesson 5: Practice Problems

Problem 1

In the context of elevation, what would $| - 7 |$ feet mean?

Problem 2

Match the statements written in English with the mathematical statements.

The number -4 is a distance of 4 units away from 0 on the number line.
The number -63 is more than 4 units away from 0 on the number line.
The number 4 is greater than the number -4.
The numbers 4 and -4 are the same distance away from 0 on the number line.
The number -63 is less than the number 4.
The number -63 is further away from 0 than the number 4 on the number line.

$| - 63 | > 4$
$- 63 < 4$
$| - 63 | > | 4 |$
$| - 4 | = 4$
$4 > - 4$
$| 4 | = | - 4 |$

Problem 3

Compare each pair of expressions using >, <, or =.

$- 32$ $15$
$| - 32 |$ $| 15 |$
$5$ $- 5$
$| 5 |$ $| - 5 |$
$2$ $- 17$
$2$ $| - 17 |$
$| - 27 |$ $| - 45 |$
$| - 27 |$ $- 45$

Problem 4

Mai received and spent money in the following ways last month. For each example, write a signed number to represent the change in money from her perspective.

Her grandmother gave her $25 in a birthday card.
She earned $14 dollars babysitting.
She spent $10 on a ticket to the concert.
She donated $3 to a local charity
She got $2 interest on money that was in her savings account.

Problem 5

Here are the lowest temperatures recorded in the last 2 centuries for some US cities. Temperatures are in degrees Fahrenheit.

Death Valley, CA was -45 in January of 1937.
Danbury, CT was -37 in February of 1943.
Monticello, FL was -2 in February of 1899.
East Saint Louis, IL was -36 in January of 1999.
Greenville, GA was -17 in January of 1940.

Which of these states has the lowest record temperature?
Which state has a lower record temperature, FL or GA?
Which state has a lower record temperature, CT or IL?
How many more degrees colder is the record temperature for GA than for FL?

Problem 6 From Unit 6 Lesson 4

Noah was assigned to make 64 cookies for the bake sale. He made 125% of that number. 90% of the cookies he made were sold. How many of Noah’s cookies were left after the bake sale?