October 14, 2014

Today

Warm-Up

Make-Up Tests? Test Results

Opposites/Reciprocals Class Work

Results of Literal Equation TestGrade < 50%

Grade > 80%Version 1:

20Version 2: 17Version 3: 11 Total: 48

Version 1: 03Version 2: 10Version 3: 09 Total: 22

Average Number of Class Work

Assignments Completed:2.2/6 assignments =

35%

1.6/8 assignments = 20%

Average Number of Khan Academy

Topics Completed:

Average Number of Class Work

Assignments Completed:5.1/6 assignments =

85%Average Number of Khan Academy

Topics Completed:

6.4/8 assignments = 81%

Warm-Up Section

of Your

Notebook, please

x = ??

Fractional Equations

Mental Math:

Pencils Down,

Pls.

With Pencil down, think of two different ways to solve the problem. Decide which method you are going to use, then solve

with pencil in hand.

w=

How long will it take Ted to drive 272 miles

if his average rate of speed is 68 mph?

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. $6.25B. $94C. $162.50D. $212.50E. None of the above

Class Notes

Section of Your

Notebook, please

Opposites are the exact same distance from zero, but are not the same number.

• Observe the distance from -1 to 0 and from 1 to 0.

-3 -2 -1 0 1 2 3

In general, a and -a are opposites if a is a non-zero number.

• 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.

Opposites are also known by their formal name of

Additive Inverses

Opposites

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.

Additive Inverses

x 17 25

x 17 17 25 17

x 8

x 19 37

x 19 19 37 19

x 56

ReciprocalsTwo numbers are called

reciprocals of one another if their product is 1.

Examples include: 2 and and 3, -4 and

Reciprocals are also known by their formal name of Multiplicative Inverses

- 4

0𝟑𝟕

- 𝟔𝟏

Find the multiplicative inverse of the following:

- 4

0𝟑𝟕

- 𝟔𝟏

Find the Opposite & Reciprocal of the following:

- 4

0𝟑𝟕

- 𝟔𝟏

Opposites & Reciprocals

Find :1. (The reciprocal of ) + (The opposite of ) 2. (The opposite of ) • (The reciprocal of )

Opposites & Reciprocals

3. (The opposite of ) - (The opposite & reciprocal of )

Class Work: Additive &

Multiplicative Inverses