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Pre-Algebra Interactive Chalkboard
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3. Example 1 Write Integers for Real-World Situations
Example 2 Compare Two Integers
Example 3 Order Integers
Example 4 Expressions with Absolute Value
Example 5 Algebraic Expressions with Absolute Value
Lesson 1 Contents

4. Write an integer for each situation. a. 32 feet under ground
b. 8 weeks after birth
c. a loss of 6 pounds
Answer: The integer is –32.
Answer: The integer is +8.
Answer: The integer is –6.
Example 1-1a

5. Write an integer for each situation. a. a loss of 12 yards
b. 15 feet above sea level
c. the temperature decreased 4 degrees
Answer: The integer is –12.
Answer: The integer is +15.
Answer: The integer is –4.
Example 1-1b

6. Use the integers graphed on the number line below.
Write two inequalities involving 7 and –4.
Answer: Since 7 is to the right of –4, write .
Since –4 is to the left of 7, write .
Example 1-2a

7. Use the integers graphed on the number line below.
Replace the  with <, >, or = in –2  3 to make a true sentence.
Answer: –2 is less since it lies to the left of 3. So write –2 < 3.
Example 1-2b

8. Use the integers graphed on the number line below.
a. Write two inequalities involving –4 and 1.
b. Replace the  with <, >, or = in 6  –7 to make a true sentence.
Answer:
Answer:
Example 1-2c

9. Graph each integer on a number line.
Weather The high temperatures for the first seven days of January were –8°, 10°, 2°, –3°, –11°, 0°, and 1°. Order the temperatures from least to greatest.
Graph each integer on a number line.
Write the numbers as they appear from left to right.
Answer: The temperatures –11°, –8°, –3°, 0°, 1°, 2°, 10° are in order from least to greatest.
Example 1-3a

10. Football The yards gained during the first six plays of the football game were 5, –3, 12, –9, 6, and –1. Order the yards from least to greatest.
Answer: The yards –9, –3, –1, 5, 6, and 12 are in order from least to greatest.
Example 1-3b

11. The graph of 5 is 5 units from 0.
Evaluate .
The graph of 5 is 5 units from 0.
Answer: 5
Example 1-4a

12. The absolute value of –8 is 8.
Evaluate .
The absolute value of –8 is 8.
The absolute value of –1 is 1.
Simplify.
Answer: 9
Example 1-4b

13. The absolute value of 6 is 6.
Evaluate .
The absolute value of 6 is 6.
The absolute value of –4 is 4.
Simplify.
Answer: 2
Example 1-4c

14. Evaluate each expression. a. b. c. Answer: 9
Example 1-4d

15. The absolute value of –2 is 2.
Algebra Evaluate if .
Replace x with –2.
The absolute value of –2 is 2.
Simplify.
Answer: –6
Example 1-5a

16. Algebra Evaluate if .
Answer: –4
Example 1-5b

17. End of Lesson 1