Warm Up

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Warm Up
Problem of the Day
Lesson Presentation
Lesson Quizzes
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Warm Up Evaluate each expression for the given
values of the variables. 1. 2x 3y for x 17
and y 6 2. 5(x 3) 4y for x 3 and y 2 3.
6.9(x 2.7) 7.1 for x 5.1 4. 5x 4y for x
0.3 and y 0.2
16
38
23.66
0.7
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Problem of the Day Janies score is 3 times the
sum of 1 and Marias score on the final exam.
Maria scored 12 points. Whose score is higher?
Janie
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Learn to compare and order integers and to
evaluate expressions containing absolute value.
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Vocabulary
integer opposite additive inverse absolute value
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Integers are the set of whole numbers and their
opposites. Opposites, or additive inverses, are
numbers that are the same distance from 0, but on
opposite sides of 0 on the number line.
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Additional Example 1A Sports Application
Use lt, gt, or to compare the scores.
Aarons score is 4, and Felicitys score is 1.
Place the scores on the number line.


1 lt 4
1 is to the left of 4.
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Additional Example 1B Sports Application
Use lt, gt, or to compare the scores.
List the golf scores in order from the lowest to
the highest. The scores are 4, 2, 5, and 3.
Place the scores on the number line and read them
from left to right.




In order from the lowest score to the highest
score, the scores are 4, 3, 2, and 5.
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Check It Out Additional Example 1A
Use lt, gt, or to compare the scores.
Frans score is 2, and Joaquins score is 3.
Place the scores on the number line.


3 lt 2
3 is to the left of 2.
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Check It Out Additional Example 1B
Use lt, gt, or to compare the scores.
List the golfers scores in order from the lowest
to the highest. The scores are 3, 1, 0, and 2.
Place the scores on the number line and read them
from left to right.




In order from the lowest score to the highest
score, they are 3, 2, 0, and 1.
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Additional Example 2 Ordering Integers
Write the integers 8, 5, and 4 in order from
t least to greatest.
Compare each pair of integers.
8 gt 5, 8 gt 4, and 5 lt 4
5 is less than both 4 and 8.
5, 4, and 8.
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Check It Out Additional Example 2
Write the integers 7, 12, and 13 in order from
least to greatest.
Compare each pair of integers.
13 gt 12, 13 gt 7, and 12 lt 7
12 is less than both 7 and 13.
12, 7, and 13.
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Additional Example 3 Finding Additive Inverses
Find the additive inverse of each integer.
A. 6
6 is the same distance from 0 as 6 is on the
number line.
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B. 14
14
14 is the same distance from 0 as 14 is on the
number line.
C. 0.5
0.5
0.5 is the same distance from 0 as 0.5 is on the
number line.
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Check It Out Additional Example 3
Find the additive inverse of each integer.
A. 12
12 is the same distance from 0 as 12 is on the
number line.
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B. 1.9
1.9
1.9 is the same distance from 0 as 1.9 is on the
number line.
C. 1
1
1 is the same distance from 0 as 1 is on the
number line.
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A numbers absolute value is its distance from 0
on a number line. Absolute value is always
positive or 0 because distance cannot be
negative. The absolute value of 4 is written
as 4. Additive inverses have the same absolute
value.
Both 4 and 4 are 4 units from 0.
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Additional Example 4 Simplifying Absolute-Value
Expressions
Simplify each expression.
A. 8 5
8 is 8 units from 0.
5 is 5 units from 0.
8 5 13
B. 5 6
1 is 1 units from 0.
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Check It Out Additional Example 4
Simplify each expression.
A. 2 9
2 is 2 units from 0.
9 is 9 units from 0.
2 9 11
B. 1 1
0 is 0 units from 0.
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Lesson Quizzes
Standard Lesson Quiz
Lesson Quiz for Student Response Systems
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Lesson Quiz
Write the integers in order from least to
greatest. 1. 17, 26, 23 2. 0, 5, 4 Simplify
each expression. 3. The sum of 3 and the
additive inverse of 8 4. 4 2 5. At
the end of the course, your golf score was 2.
Your friends score was 7. Use lt, gt, or to
compare the scores.
26, 17, 23
4, 0, 5
11
6
2 lt 7
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Lesson Quiz for Student Response Systems
1. Which of the following represents the given
integers in order from least to greatest? 24,
16, 13 A. 24, 16, 13 B. 24, 13, 16 C.
13, 16, 24 D. 16, 13, 24
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Lesson Quiz for Student Response Systems
2. Which of the following represents the given
integers in order from least to greatest? 23, 0,
90 A. 90, 0, 23 B. 90, 23, 0 C. 0, 23, 90
D. 0, 90, 23
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Lesson Quiz for Student Response Systems
3. Evaluate the sum of 5 and the additive inverse
of 14. A. 19 B. 9 C. 9 D. 19
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Lesson Quiz for Student Response Systems
4. Evaluate 6 12. A. 6 B. 6 C. 12 D.
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