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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

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

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

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

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

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

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

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

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

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

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

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

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

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

End of Lesson 1