(7) Lesson 3.1

1. Course 2, Lesson 3-1
Find the simple interest earned to the nearest cent for each principal,
interest rate, and time.
1. $3,525, 4%, 5 years
2. $563, 2.5%, 3 years
Find the simple interest paid to the nearest cent for each loan, interest
rate, and time.
3. $6,350, 18%, 5 years
4. $345, 10%, 1 year
5. Travis opened a line of credit with a balance of $150 at a monthly interest
rate of 15.5%. What will his new balance be, after one month, if he does
not make a payment?

2. Course 2, Lesson 3-1
ANSWERS
1. $705
2. $42.23
3. $5,715
4. $34.50
5. $173.25

3. WHAT happens when you add,
subtract, multiply, and divide integers?
The Number System
Course 2, Lesson 3-1

4. Course 2, Lesson 3-1 Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of
Chief State School Officers. All rights reserved.
The Number System
• Preparation for 7.NS.3
Solve real-world and mathematical problems involving the four
operations with rational numbers.
Mathematical Practices
1 Make sense of problems and persevere in solving them.
3 Construct viable arguments and critique the reasoning of others.
4 Model with mathematics.
5 Use appropriate tools strategically.

5. • To identify and graph integers
• To find absolute value
Course 2, Lesson 3-1
The Number System

6. Course 2, Lesson 3-1
The Number System
• integer
• negative integer
• positive integer
• graph
• absolute value

7. 1
Need Another Example?
Step-by-Step Example
Write an integer for the situation.1.
an average temperature of 5 degrees below normal
Because it represents below normal, the integer is –5.

8. Answer
Need Another Example?
a loss of 12 yards
−12

9. 1
Need Another Example?
Step-by-Step Example
2. Write an integer for the situation.
an average rainfall of 5 inches above normal
Because it represents above normal, the integer is +5 or 5.

10. Answer
Need Another Example?
a snowfall of 4 inches above normal
+4

11. 1
Need Another Example?
Step-by-Step Example
3. Graph the set of integers {4, –6, 0} on a number line.
Draw a number line. Then draw a
dot at the location of each integer

12. Answer
Need Another Example?
Graph the set of integers {–1, 3, –2} on a
number line.

13. Course 2, Lesson 3-1
The Number System
Words The absolute value of a number is the distance between
the number and zero on a number line.
Examples 5 5 5 5

14. 1
Need Another Example?
2
3
Step-by-Step Example
4. Evaluate the expression.
| –4 |
The graph of –4 is 4 units from 0.
4 Units
So, | –4 | = 4.

15. Answer
Need Another Example?
Evaluate | –5 |.
5

16. 1
| –5 | – | 2 |
Need Another Example?
2
Step-by-Step Example
5. Evaluate the expression.
| –5 | – | 2 | = 5 – 2 | –5 | = 5, | 2 | = 2
So, | –5 | – | 2 | = 3.

17. Answer
Need Another Example?
Evaluate | –4 | – | –3 |.
1

18. 1
Need Another Example?
2
3
Step-by-Step Example
6. Nick climbs 30 feet up a rock wall and then climbs
22 feet down to a landing area. The number of feet
Nick climbs can be represented using the expression
| 30 | + | –22 |. How many feet does Nick climb?
| 30 | + | –22 | = 30 + | –22 | The absolute value of 30 is 30.
The absolute value of –22 is 22. Simplify.= 30 + 22 or 52
So, Nick climbs 52 feet.

19. Answer
Need Another Example?
Megan’s dog gained weight and then lost weight.
The number of pounds her dog gained and then
lost is represented by the expression | 6 | + | –3 |.
How many pounds did Megan’s dog gain and lose?
9 pounds

20. How did what you learned
today help you answer the
WHAT happens when you add,
subtract, multiply, and divide integers?
Course 2, Lesson 3-1
The Number System

21. How did what you learned
today help you answer the
WHAT happens when you add,
subtract, multiply, and divide integers?
Course 2, Lesson 3-1
The Number System
Sample answers:
• Integers can be used to represent real-world
situations.
• You can evaluate absolute value expressions involving
integers.

22. Describe a
real-world situation
that uses integers.
Ratios and Proportional RelationshipsThe Number System
Course 2, Lesson 3-1