October 20, 2008
Bellwork: Overhead Problems
Page 182, 1 6.
Page 188, 82 100 even.
Notes: Ratio and Proportion Part I
Objective: Find Ratios and Rates.
Solve Proportions.
Tennessee Curriculum Standards: 1.7, 2.6, 3.14
Ratio comparison of 2 numbers by division
If a and b are different units, then the ratio a/b is a rate.
Unit Rate rate has a denominator of 1. (divide to get decimal solution).
Ex. Miles/gallon Cost/ounce Cost/pound Students/Teacher
Problem 1. Find a unit rate for: a 12 pack of 12 ounce cans for $2.50 and for $4.88.
Driving 249 miles in 4 Ύ hours.
Proportion two equal ratios
a/b = c/d This is a is to b as c is to d
A and D are the extremes, B and C are the means
Solve a proportion for a missing variable by:
Multiply both sides of = by LCD
A/4 = 7/10 LCD = 20
5A = 14
A = 2 4/5
Problem 2. Solve each proportion by multiplying both sides of the = by the LCD.
x/6 = 9/4, 11/15 = x/9
Assignment: Section 4-1, page 185 187, 1 6, 14, 15, 16, 18, and 19.
October 21, 2008
Bellwork: Overhead Problems
Page 178, 3 27 every third problem.
Notes: Ratio and Proportion Part II
Objective: Find Ratios and Rates.
Solve Proportions.
Tennessee Curriculum Standards: 1.7, 2.6, 3.14
Review Ratio, Rate, Unit Rate, Proportion, Solving a proportion by multiplying both sides of the = by the LCD.
Change Units multiply by a rate that equals 1
7 hours = ? mins
7 hours ● 60min/1h = 420 mins
The worlds fastest sprinters run 100 meters in about 9.8 seconds. How fast is this in mph? 100m/s = 0.1 km/s ● 1mile/1.8km ● 60s/1 min ● 60min/1 hour =
Problem 1. A basset hound runs 100 yards in 25 seconds. Find MPH.
Solve a proportion by using Cross Products
A/B = C/D then AD = BC
3/5 = 25/x (Convert a picture to poster)
3x = 5 ● 25
3x = 125
x = 41 2/3
The Fish in Lake Culleoka
Fisherperson catches and tags 40 fish. Later, person returns and catches 87 fish, 19 with tags. How many fish in Lake Culleoka?
40/total = 19/87
Assignment: Section 4-1, page 185 187, 7-13, 17, 21 60, every third problem.
October 22 - 23, 2008
Bellwork: Overhead Problems
Page 180, 3 27, every third problem, omit 12 and 24.
Notes: Proportions and Similar Figures II
Objective: Find Missing Measures in Similar Figures.
Use Similar Figures when Measuring.
Tennessee Curriculum Standards: 1.7, 2.4, 2.5, 3.5, 5.1, 5.3
Review similar figures and corresponding sides.
Write proportions using similar figures and corresponding sides.
- Find lengths of missing sides between two similar figures
- Find height of a tree using shadow of tree and person.
Scale drawing enlarged or reduced drawing of an original.
- Like a map
Scale ratio of distance in drawing to actual distance.
Scale = 1 in equals 5 miles
1 in : 5 miles
How far if 3.5 inches?
1/5 = 3.5/x
Assignment: Section 4-2, page 192 193, 1 21 odd, 24 29 all.
October 23 and 24, 2008
Bellwork: Overhead Problems
Page 202, 67 74.
Notes: Proportions and Percents
Objective: Use Proportions When Solving a Percent Problem.
Write and Solve Percent Problems.
Tennessee Curriculum Standards: 1.7, 2.2, 2.8
Percent actually means per 100
45% = 45/100 = 9/20
Show the is over of, % over 100 model
Is (part) = %
Of (whole) 100
To solve:
Read problems and determine the part (is), the whole (of), the percentage (%), and fill in the boxes. Be careful, sometimes the % and the is can be confused if you arent thinking!
Solve with cross products
What % is 45 of 120?
67% of 250 is what?
175 is 38.5% of what #?
Problem 1. What is 110% of 80?
Simple Interest Formula I = PRT
Given any three, find the fourth.
I = $450, R = 12%, P = $2,000.00, Find T.
Problem 2. I = $1200, R = 9%, T = 5, Find P.
Estimating %
Find a % that is close (ex, if asked to find 48%, then find 50%).
Hint - 10%, 25%, 50%, 75% are easy to find.
Assignment: Will be given Monday two day lesson.
October 27, 2008
Bellwork: Overhead Problems
1. Write the simplified ratio of male to females in this room.
2. Change $18.49 for 3.5 lbs to a unit rate.
3. Solve the proportion x/27 = 42/7
4. What % is 115 of 75?
5. What is 65% of 180?
Notes: None review estimating percent.
Estimate 42% of 780.
Estimate 64% of 910.
Assignment: Section 4-3, page 200 - 201, either 1 57, omit 38, 49 53 (the word problems) or 1- 57 odd, and 38, 50, 52.
October 28, 2008
Bellwork: Overhead Problems
Page 204, 1 6.
Page 209, 60 68.
Notes: Percent of Change
Objective: Find Percent of Change.
Find Percent Error.
Tennessee Curriculum Standards: 1.2, 1.7, 2.2, 2.4, 2.5, 3.5, 3.8, 3.10, 4.5
Percent of Change
- Is always a percent of the original number.
- ratio of amount of change/original amount as a %
- David Robinson grew from 6 3 to 7 1 from the time he was 18 to 22. What is % change?
o 10/85 = 0.1176 = 11.8% Increase.
Problem 1. What is the percent change in the price of school lunches for this year?
$2.10 to $2.65
Greatest Possible Error
- No measure is exact.
- You measure to the nearest something (in, cm, ft, mile, etc)
- The Greatest Possible Error is ½ of that unit.
o Ex. It is about 18 miles from my driveway to Cook Soccer Park.
§ The distance is measured to the nearest mile.
§ Greatest possible error is ½ mile or 0.5 mile.
o Ex. It is 37.8 miles on my vans odometer from my driveway to Best Buy.
§ The distance is measured to the nearest 1/10th (0.1)of a mile.
§ Greatest Possible Error is ½ of 1/10th (0.10)
· 1/20 or 0.05
Problem 2. Ex. You measure a line on your paper to be 0.224m. The distance is measured to the nearest 1/1000 of a m. Find the GPE.
(GPE is ½ of 1/1000 (0.001) or 1/2000 (0.0005)m)
Percent error = Greatest possible error/measurement
- Find Percent error with the distance to Best Buy.
o 0.05/37.8 = 0.001322 = 0.1322%
- If my odometer measures the distance to the store as three tenths of a mile, what is the percent error?
o 0.05/0.3 = 0.1667 = 16.67%
Assignment: Section 4-4, page 207 208, 1 18, 25 28, 30 41.
October 29, 2008
Bellwork: Overhead Problems
1. -3| x 8 | < -18 Solve and Graph
2. 2m 5 = 3m + 20 + 4m
3. 240 is 15% of what?
4. Write $32.75 for 14.7 gallons as a unit rate.
5. 34/x = 84/587
6. Convert 880 ft/s into miles/hour.
7. Similar triangles ABC and MNP. List the corresponding sides.
8. If AB = 7 and BC = 12 and NP = 40, find MN.
Notes: None (review for test)
Assignment: Chapter 4 Review, page 227, problems 1 - 32, omit 5 8.
October 30, 2008
Bellwork: Overhead Problems
Gather notes Five sections.
Take out yesterdays work have questions ready.
Percent Error problem
Notes: None
Assignment: Chapter 4 Section 1 4 Test.
Extra Credit: If you could take revenge on any person you know, who would it be, why would you do it, and what would you do? (This is not asking for a description of horrible violence done to someone you dislike but more of a clever, sneaky, comeuppance to someone who was or is the bad guy. If you can only think of felonious crimes as vengeance to a hated enemy, then describe your favorite flower.)
October 31, 2008
Bellwork: Overhead Problems.
Pg. 211, 1-4.
Pg. 217, 55-69 odd, omit 59 and 61.
Notes: Probability
Objective: Find Theoretical Probability.
Find Experimental Probability.
Tennessee Curriculum Standards: 1.7, 3.5, 3.10, 4.5
Probability is the likelihood that an event will occur.
o Outcome result of a single trial. (Roll a die get a 3)
o Event any outcome or group of outcomes that you are seeking.
§ P(even), or P(odd), or P(prime), or P(5)
o Sample Space all possible outcomes.(1, 2, 3, 4, 5, 6)
o Favorable Outcomes event is odd #, then 1, 3, 5.
- When all outcomes are equally likely, you can measure
o Theoretical Probability ratio of (# of favorable outcomes)/(# of possible outcomes)
o Certain event probability is 1. (What is probability of choosing a teenager from students in here?
o Impossible event Probability is zero. (What is the probability that Mr. Allred will ever change his mind about anything?)
- Complement of an event all outcomes not in the event.
o If event is even #s, the complement is the odd numbers.
Problem 1. What is the theoretical probability that you would randomly choose a male from the students in this room?
- Experimental Probability
o P(event) = (number of times the event occurs)/(number of times the experiment is done)
§ 15 IBM computers out of 100 dont work out of the box. 15/100 is experimental probability
· 3/20 simplified.
§ Survey answers are experiments
· Will you pay more for the unedited versions of popular songs?
o What is the % increase for the unedited versions?
o Wal Mart 13.99, Sound Shop 18.99.
o 5.00/13.99 = ____%
Problem 2. Find the experimental probability of flipping a coin and getting heads. Do a minimum of 20 trials. Can do this as pairs.
Assignment: Section 4-5, page 214 215, 35, 1-4, 15 17, 23, 24, 27 29.
November 3, 2008
Bellwork: Overhead Problems
Page 219, 1 7.
Notes: Probability of Compound Events
Objective: Find the Probability of Independent Events.
Find the Probability of Dependent Events.
Tennessee Curriculum Standards: 1.7, 3.5, 3.10
Compound Events More than one event.
Independent Events Each event has no influence on the following events. (rolling a die-the second roll is not influenced by the first)
Dependent Events Each event affects the probability of the next. (Drawing a card out of a deck and not replacing it. The probability of the second is influenced by removing the first card.)
Probability of Compound Events P(1st) ● P(2nd) ● P(3rd) ●
Independent
Find P(getting three Hs on a coin flip)
P(Rolling a 6 and getting head on a coin flip)
Problem 1. Find P(getting a 12 in Monopoly).
Dependent
Find P(Drawing a spade 3 times in a row from a deck of 52 without replacing the cards).
Find P(2 purple, 1 Blue) from a bag containing 8 purple, 12 green, and 5 blue marbles.
Problem 2. Using the last example, find P(1 purple, 1 blue, and 1 green)
A lottery is done by choosing 5 numbered ping pong balls from a bin (1 55) and then the powerball is chosen from another bin? What is the probability of getting a match with all 6 numbers and winning the jackpot?
Assignment: Section 4-6, page 222 - 223, 1 - 43a and b, omit 34.
November 4, 2008
Bellwork: Overhead Problems
Page 227, 5 8, 12, 17, 22, 25, 28, 31, 34 44.
Page 230, 8, 15, 19, 22, 23, 26, 27
Notes: None
Assignment: Test Review in class activity. If you are doing make up work, then complete page 230, 1 27.
November 5, 2008
In Class Test Review
Practice chapter 4 test A
November 6, 2008
In Class Test Review
Practice chapter 4 test B
November 7, 2008
Bellwork: Overhead Problems
1. 7/10 = x/34
2. Similar triangle problem. 1st sides are 10, 14, 7. 2nd sides are 28, x, and y. Find x and y.
3. What is 0.25% of 80?
4. Your average is a 29% at the progress report time. By the end of the nine weeks, your average is a 95%. What is the percent of change?
5. What is the probability of
a. Rolling 3 6s?
b. Picking a card from a deck three times without replacing them and getting the Ace, King, and Queen of hearts (not necessarily in that order).
6. From problem 5, Identify the
a. Dependant event.
b. The sample space for one roll of A.
c. The event from A.
d. The complement of one roll of A.
e. Are your answers for A and B theoretical or experimental probability?
Notes: None
Assignment: Chapter 4 Test (whole chapter)
Extra Credit: If you woke up tomorrow and the worlds news headlines were about you, what would you want them to say?
November 10, 2008
Bellwork: Overhead Problems
Page 392, 1 21 odd.
Page 394, 1 9.
Notes: Zero and Negative Exponents
Objective: Zero and Negative Exponents
Tennessee Curriculum Standards: 1.1, 1.8
24 =
23 = (Note that reducing the exponent by 1 has
22 = the same effect as dividing by the base!)
21 =
20 =
2-1 =
2-2 =
Find the pattern in the answers (each level divides by 2, right? Even with the negative exponents)
Do the same thing with 10 as a base. Notice the pattern.
Anything to the power of 1 is itself.
Anything to the power of 0 is 1
Anything with a negative power is NOT a negative number
Problem 1. Create a chart like the 2s above with the number 3 as a base. Go from 34 to 3-4.
Negative exponents
x-2 = 1/x2
3-2 = 1/32
10-3 = 1/103
5/2-3 , X-5 , M-5 / Y-2 , A-3 B5 / C4 D-10
- To change a negative exponent to a positive one, get the reciprocal of the base and change the sign of the exponent.
Writing expressions with positive exponents.
5 x3 y-2 z0
5 ● x3 ● 1/y2 ● 1 = 5 x3/y2
Problem 2. Simplify, then write with positive exponents only. -20A4 B-8 C4 D-1 E0
If m = 4 and n = -2
Find n2, mn , 4 n0 m-3
Assignment: Section 8-1, page 397, 2 72 even problems.
November 11, 2008
Bellwork: Overhead Problems
1. 5m 8 = -3 + 7m 11
2. Similar triangle problem 6/14 = 16/x
3. y < 3x + -2 Graph
4. Simplify 4-3
5. Simplify 6a-3 b5
2 c-2 d0
Notes: Scientific Notation
Objective: Write Numbers in Scientific and Standard Notation.
Use Scientific Notation.
Tennessee Curriculum Standards: 1.1, 1.2, 1.8, 2.2
Standard notation is the number itself.
Write the number:
- 78 million in standard form
- 17 hundred-millionth in standard form
i. diameter of the aids virus
Problem 1. Write 10 trillion, 636 million in standard form.
- National Debt this morning.
Scientific notation is a # from 1 to 10 multiplied by 10 to a power equal to the number of places you move the decimal. Small numbers neg exponent. Large numbers positive exponent.
Problem 2. a. 9 billion seven hundred thirty seven million in Scientific Notation.
- Distance Voyager is from the sun 12/07
b. Write the number for the aids virus diameter in Sci. Notation.
Assignment: Section 8-2, page 401, 1 26.
November 12, 2008
Bellwork: Overhead Problems
Page 405, 1 8.
1. What is the probability of rolling 3 sixs?
2. x/-4 + 5 > 6 Solve and graph
3. What is the % change from 120 to 80?
Notes: Multiplying Exponents
Objective: Multiply Powers.
Multiply Numbers in Scientific Notation Form.
Tennessee Curriculum Standards: 1.1, 1.5, 1.8, 2.2
(Review changing negative exponents to positive.)
Multiply exponents with the same bases by adding the exponents.
x3 ● x2 = xxx ● xx = x5
93 ● 92 = 999 ● 99 = 95
Remember the commutative property rearrange things
-3 a3 b5 c-2 ● 4 a4 b-3 c2 = -3 ● 4 a3 a4 b5 b-3 c-2 c2 = -12 a7 b2 c0
Problem 1. 5 x8 y-4 z7 ● x y6 z-6
Multiplying Scientific Notation
(2.4 ● 1015)(9 ● 10-3) =
- Remember the commutative and associative properties!
2.4 ● 9 ● 1015 ● 10-3
21.6 ● 1012 (Is this Scientific Notation?)
2.16 ● 10 ● 1012
2.16 ● 1013
Problem 2. Solve. (1.1 ● 1011) (1.9 ● 1011)
(This is the estimated number of stars in our galaxy and the estimated number of observable galaxies.)
Assignment: Section 8-3, page 407, 1 53, omit 2, any ONE word problem, and 34 - 47.
November 13, 2008
Bellwork: Overhead Problems
1. 5 + -7x + 3 = x 3 4x 1
2. X2 + 5x -15 for x = 3
3. Write 0.000375 in scientific notation.
4. What % is 210 of 140?
Notes: None
Assignment: On Overhead.
1. 420,000 in Scientific Notation
2. 260 billion
3. 5,100,000,000
4. 0.00405
5. 6.345 ● 108 in standard form
6. 3.2 ● 10-5
7. 8.04 ● 10-4
8. 3.6245 ● 10-2
9. 4(3 ● 105)
10. 8(9 ● 109)
11. 3(6 ● 10-4)
12. 4(3.2 ● 10-2)
13. (3x-4 )(-5x8 )
14. X-9 x3 x4
15. 75 ● 710
16. S7 ● S0 ● S4
17. 1/(x-3 x-2 )
18. (7 ● 107) ( 5 ● 108)
19. (1.6 ● 105) ( 3 ● 1011)
20. (5 ● 108) ( 2.6 ● 10-16)
21. Light travels 5.87 ● 1012 miles in one year. The Andromeda Galaxy is 2.4 ● 106 light years away. How many miles away from Terra is the Andromeda Galaxy?
22. 3x2 ● 4x ● 2x3
23. 6x2 ● x ● 2x-1
24. R6 ● s-3 ● r-2 ● s
25. 7y2 ● 3x2 ● 9
26. Create a real life problem similar to # 21. Make up the problem, research the numbers to put in the problem on Google, Yahoo, Ask, etc., and then solve your own problem.
November 14, 2008
Bellwork: Overhead Problems
Page 411, 1 7 odd.
Page 417, 1 8.
Notes: Exponents to a Power and Dividing Exponents
Objective: Raise a Power to a Power.
Raise a Product to a Power.
Divide Powers with the Same Base.
Raise a Quotient to a Power.
Tennessee Curriculum Standards: 1.1, 1.5, 1.8, 2.2
Raise a Power to a Power
x5 ● x3 = x8 Add the exponents when multiplying.
( x5 )3 = x15 Multiply the exponents when you have a power to a power.
Raise a Product to a Power
(4 w7 x8)2 = 16 w14 x16 Raise each item to the power.
Problem 1. (-3 A6 B4 C)3
Raise a Quotient to a Power
(3/4)3 = 27/64 Raise both numerator and denominator to the power.
Problem 2. (4/5)2
Divide Powers with the Same Base
x5 χ x3 = x2 Subtract the exponent when dividing.
32c-1 d3 χ -8 c5 d-4 Write with all positive exponents.
Problem 3. 15c5 d-6 f12 χ -3 c5 d-4 f9
Assignment: Section 8-4, page 414, 2 50 even.
Section 8-5, page 420, 2 40 even.
November 17, 2008
Bellwork: Overhead Problems
Page 437, 1 3.
1. c-7
2. 8 a-3 b2
3. 4 x2 y for x = 4 and y = 8
4. 32,500 in Scientific Notation
5. 0.000049 in Scientific Notation
6. 5(7 ● 10-3 )
7. 7-3 ● 710
8. 3 x5 ● 4x
9. 2 a2 ● b2 ● a4 ● b-2
10. (8 ● 105 )(4 ● 108 )
11. (x5 )4
12. (x4 )3 x5
13. (5x3 )2 ● (4x2 )0
14. (x-4 )2 (x3 y5 )2
15. x5/ x2
16. x9/ x15
17. (x4 y-2 z)/(x2 y4 z)
18. (x2/3y3 )3
19. (7x/y )-2
20. (3/5 )-3
Notes: None
Assignment: Chapter Review, 11 49, odd, omit, 31 and 39. Quiz
A
|
B |
C |
November 18, 2008
Bellwork: Overhead Problems
Take out notes and answer sheet.
1. 10-7
2. (7 ● 105)(9 ● 10-12)
3. (3 A2 B8 C )0 if A = 2, B = 1, and C = 3
4. 6 x-7 y z5 χ -2 x5 y z17
5. (3 a6 b)4
6. Simplify
a. (3/4 )3
b. (2/3 )-2
c. 2-2
7. 87651000 in Scientific Notation
8. 9(5 ● 106 )
9. M3 (M4 )2
Notes: Sequences
Objective: Identify both Geometric and Arithmetic Sequences.
Find the Next Two Numbers in a Sequence.
Tennessee Curriculum Standards:
Arithmetic Sequences have the same # between them.
2, 4, 6, 8, etc
Geometric Sequences have the same factor between them.
2, 4, 8, 16, etc
Find the next 2 numbers in various sequences and identify them as geometric or arithmetic.
Assignment: Extra Practice Page 709, 2 48 even.
November 19, 2008
Bellwork: Overhead Problems
Page 709, 1- 49, every 4th problem.
Notes: None (Chapter 8 Review)
Gather notes together - 5 Sections
Zero and Negative Exponents
Scientific Notation
Multiplying Exponents
Exponents to a Power and Dividing Exponents
Sequences
Assignment: In Class Activity
Complete the problems on overhead 2 or 3 at a time. Call on students to explain and answer. Mark score on roster.
1. (5x4 )3
2. (-2x)(3x2 )3 x3
3. A3/ A5
4. (4.8) 8 (4.8) -8
5. 124/ 1210
6. 3-3
7. -34
8. (-3) 4
9. 5m3 6m-2
10. (x3 )7 x2
11. (x/2y) 3
12. 8-2 70 18
13. (3 105 )(7 10)
14. 2(7.5 104)
15. (0.2 10-5)(0.3 10-9)
16. 8 10-3 as a decimal
17. 43200 in Scientific Notation
18. 3x-3 y for x = 2 and y = 10
19. 187/1815
20. (0.3 107 )(0.12 10-4 )
21. It took 1.3 107 dollars to build the new facilities here at Culleoka School. Assuming this is typical, and that Tennessee builds 35 new schools this year, what would be the total cost for the new schools? Write the answer in standard form and in scientific notation.
November 20, 2008
Bellwork: Overhead Problems
Get your notes together, 5 sections
Notes: None
Assignment: Chapter 8 Test
Omit any 2
Extra credit: If you were going to turn to a life of crime to support yourself, what type of criminal would you become?
November 21, 2008
Bellwork: Overhead Problems
Page 454, 2 32, even.
Notes: Adding and Subtracting Polynomials Part I
Objective: Describe Polynomials.
Tennessee Curriculum Standards: 2.3
Monomial a number, variable, or product of a number and variables.
Example: 4, m, and -3.5x y3 are all monomials, 4 + m, 5/x are not.
Problem 1. Monomial or not? Why? A. 14-x B. 7x2 C. 3/x D. x/3
Degree of a monomial is the sum of all the exponents of its variables.
The degree of a constant is 0. (What is the sum of the exp of var?)
Example: 5x4y2 , degree: 6; 7x, degree: 1; 12, degree: 0
Problem 2. Find the degree of each term. 15m, 4a, -3x7 y10
Polynomial sum of 2 or more monomials.
M + 4, 3x2 + 5x + 8 are polynomials.
Standard form of a polynomial list the monomials in descending order by degree.
Example: 5x 8 + 4x2 in standard form is 4x2 + 5x 8
Degree of a polynomial is the degree of the monomial with the highest degree.
Example: The degree of 4x2 + 5x 8 is 2. The degree of x5y2 + 5x4 8x2 is 7
Problem 3. Put this polynomial in standard form and determine its degree.
-8x2 2x y2 z + 6x3 + 7x
Assignment: Section 9 1, page 459, problems 1 20.
November 24, 2008
Bellwork: Overhead Problems
Page 454, 1 31, odd.
Notes: Adding and Subtracting Polynomials Part II
Objective: Identify Polynomials
Add and Subtract Polynomials
Tennessee Curriculum Standards: 2.3
Identifying Polynomials
Monomial one term 7x, 3, or 4x3
Binomial two terms 5x + 3
Trinomial three terms 3x2 + 5x + 8
Identifying Polynomials
- Classify by degree and number of terms, for example
i. 4th degree binomial 5x4 + 7x
ii. quadratic (2nd degree) trinomial 3x2 + 5x + 8
*****(See chart page 457)*****
iii. Discuss
1. constants (degree is 0, this is integers or real numbers)
2. linear (degree is 1, this is the lines we have been graphing)
3. quadratic (degree of 2, graph is a curve, coming soon)
4. cubic (3rd degree)
5. 4th degree
Problem 1. Identify the following polynomial by degree and number of terms. (ie. 12th degree dodekanomial or something like that)
3x5 + 5x3 + 8x
Adding Polynomials (this is just combining like terms)
- Put the polynomials in standard form
- Line up the like terms
- Add vertically
Example: (5x4 + 15 + 4x + 3x2) + (4x - 22 + 8x3 - 8x2) becomes;
(5x4 + 3x2 + 4x + 15) +
(8x3 + -8x2 + 4x + -22)
5x4 + 8x3 + -5x2 + 8x + -7
Problem 1. Simplify (x - 7x4 + 19 - x3) + (-9x 3x4 + 2x3 - 4x2)
- To subtract, line up vertically, line up like terms, and change the sign of all the terms in the second set of parenthesis.
(7x4 + 4x2 + 13) -
(-3x2 + 6x + -17)
becomes
(7x4 + 4x2 + 13) +
(3x2 + -6x + 17)
7x4 + 7x2 + -6x + 30
Problem 2. Simplify (5x3 - x4 + 7 - 3x) - (-9x 6x4 + 2x3 - 4)
Assignment: Section 9 1, page 459, problems 21 40.
November 25, 2008
Bellwork: Overhead Problems
Page 429, 61-64.
1. (11x3 - 2x4 + 12 - 3x) - (-3x 7x4 + 2x3 - 8)
a. Add
b. Put in standard form
c. Degree
d. Name
2. Bartib Onessa
3. (4x6 )3
4. Cudk Onessa
5. (-7x)(3x4 )9 x4
6. semotiey asm
7. A5/ A8
8. Make up one like # 2, 4, and 6.
9. (2.5) 4 (2.5) -4
Notes: None.
Assignment: Complete questionnaire for each chapter.
Woodland Creatures and Desert Fowl:
Their Interactions with Humans in WWII era America