1. October 14, 2014
 Make-Up Tests?
 Test Results
 Warm-Up
 Opposites/Reciprocals
 Class Work

2. Results of Literal Equation Test
Grade < 50% Grade > 80%
Version 1: 20
Version 2: 17
Version 3: 11
Total: 48
Version 1: 03
Version 2: 10
Version 3: 09
Total: 22
Average Number of Class
Work Assignments
Completed:
2.2/6 assignments = 35%
Average Number of
Khan Academy Topics
Completed:
1.6/8 assignments = 20%
Average Number of Class
Work Assignments
Completed:
5.1/6 assignments = 85%
Average Number of
Khan Academy Topics
Completed:
6.4/8 assignments = 81%

4. Fractional Equations
x = ??

5. Mental Math:

6. How long will it take Ted to drive 272 miles
if his average rate of speed is 68 mph?

7. Travis and Bill earn the same hourly pay. One week
their paychecks were equal, but Bill worked 26 hours
and Travis worked 18. Travis got a $50 bonus for
overall good work attendance. How much total did
each person earn that week?
A. $6.25
B. $94
C. $162.50
D. $212.50
E. None of the above

9. Opposites
Opposites are the exact same distance from zero, but are not the
same number.
-3 -2 -1 0 1 2 3
• Observe the distance from -1 to 0 and from 1 to 0.
• They are the same distance from zero.
• Therefore, we can say that the sum of a number a,
• and its opposite (-a), is always zero. -1 and 1 are
• opposites as are 2 and -2.
In general, a and -a are opposites if a is a non-zero
number.
Opposites are also known by their formal name of
Additive Inverses

10. Additive Inverses
a and -a are called additive inverses of each other because
they have a sum of zero when added.
• This is useful for solving equations.

x 17  25

x 17 17  25 17

x  8

x 19  37

x 19 19  37 19
x  56

11. Reciprocals
Two numbers are called reciprocals of
one another if their product is 1.
Examples include: 2 and
ퟏ
ퟐ
,
ퟏ
ퟑ
and 3, -4 and
−ퟏ
ퟒ
Reciprocals are also known by their
formal name of Multiplicative Inverses

12. - 4 0
ퟑ
ퟕ
-
ퟏ
ퟖ
ퟔ
ퟏ
Find the multiplicative inverse of the following:
- 4 0
ퟑ
ퟕ
-
ퟏ
ퟖ
ퟔ
ퟏ
Find the Opposite & Reciprocal of the following:
- 4 0
ퟑ
ퟕ
-
ퟏ
ퟖ
ퟔ
ퟏ
Opposites & Reciprocals

13. Find :
1. (The reciprocal of
ퟏ
ퟐ
) + (The opposite of
ퟑ
ퟒ
)
2. (The opposite of
− ퟏ
ퟓ
) • (The reciprocal of
ퟑ
ퟐퟏ
)
Opposites & Reciprocals
3. (The opposite of
− ퟒ
ퟓ
) - (The opposite & reciprocal of −ퟒ )