Algebra 2A Swine Flu Packet
Algebra 2A Swine Flu Packet:
I shouldn’t have to tell you this, but I will anyway. This is not the time to try and see what you can get away with in terms of doing your work for this and all your other classes. We are missing a week of class time, through no fault of our own. This swine flu situation hit us and the school dealt with it in the best way possible to ensure the health of the student body and school community. That being said, missing a week of school this close to the end of the year is not a good thing. Take the learning packets from all your classes, whether they contain review material or new material, as an opportunity to get some of that class time back. I stress that I’m not just talking about this class. I’m talking about all your classes. Do not do just enough to get credit…. Do your best on all the learning packets and make the best out of an unfortunate situation. For our class assignment, use the answer key only if you get stuck. Remember you may be able to fool me on Monday, but the final won’t lie.
In this class, we were just starting with the Law of Sines. We covered it for 1 day and I don’t think we’d get a lot out of giving you a ton of those problems… because a lot of you were having difficulty with it. When have we started and had a complete understanding of a topic in one day? Instead we will use this as an opportunity to review for the quarter exam (yes, you do have a cumulative 4th quarter exam.) and the final. These problems are not meant to be done in 1 day. Split up the joy over the 3 remaining days you are out of school. You’ll enjoy the problems more that way. Sections I-IV are mandatory. Section V is voluntary.
Section I: Factoring (these are not equations, DO NOT T IT UP!)
Factor Each Completely:
Always look for GCF 1st
Use your rules (Packet #1 is still on website if you need the rules)
Lookout for Case II at the end of the section (steps in Packet #1)
1) x2 – 5x – 362) x2 + 11x + 303) x2 + 7x – 30
4) x2 – 16x + 485) 3x2 - 3x – 1686) 8x3 + 24x2 + 16x
7) 144x2 – 368) 5x9 – 320x79) 4x2 + 9
10) x2 – 2x – 1,09811) x2 – 30x + 39612) 6x2 + 5x – 4
13) 36x2- 15x - 914) 6x2 - 7x – 515) 24x2 – 50x + 14
Answer Key: Section I:
1) (x-9)(x+4)2) (x+6)(x+5)3) (x+10)(x-3) 4) (x-12)(x-4)5) 3(x- 8)(x+7)
6) 8x(x+2)(x+1) 7) 36(x-2)(x+2) 8) 5x7 (x – 8)(x+8) 9) Prime 10) (x+32)(x-34)
11) (x-23)(x-7) 12) (3x+4)(2x-1) 13) 3(4x-3)(3x+1) 14) (3x-5)(2x+1) 15) 2(4x-7)(3x-1)
Section II: Mixed Equations (Remember your rules for each type of equation)
- Linear Get x by itself
-Quadratic set equal to zero (sometimes by factoring, sometimes you need the quadratic formula)
-Absoulte Value isolate absolute value and split
-Radical Equation isolate radical and square both sides (check for extraneous roots)
1) x2 – 7x = 442) 9(6x + 4) = 8(5x - 6)3) 2x2 = 5x + 1
4) 2(9x - 4) - 8(4x - 7) = 1815) √13x+ 43 + 3 = 186) √9x – 5 - 1 = x
7) - 8| 3x – 9 | + 30 = 68) 3| 4x - 12 | - 18 < -99) √9x + 1 - x = - 1
8
#5: radical ends after the 43 #6: radical ends after the -5 #9: radical ends after + 1
Answer Key: Section II:
1) x = {-4,11}2) x= -63) x = {-.19, 2.69}4) x = -9.5 5) x = 14
6) x = {1,6}7) x = {2,4}8) x = (-3,9}9) x = {11} 0 is an ext. root
Section III: Pythagorean Theorem
1) 2)
40x 100
28
42x
Find X and all 3 sides:
3) x4) x + 8
2x + 2 2x + 12
2x + 3 2x + 14
Answer Key: Section III:
1) x = 582) x = 96 3) x = 5, 5,12,134) x = -2, 6,8,10 (x can be neg, sides can’t)
Section IV: Rational Expressions:
Remember:
Multiplication/Division: Factor each numerator and denominator and look to cancel.
Addition/Subtraction: You need a common denominator.
Factor denominators and see what each “is missing.”
Be very careful when combining numerators on subtraction problems.
1) x2 + 2x - 35 . · 3x2 – 21x .2) x2 - 64 ÷ x2 -3x - 40 .
x2 - 49 6x - 30 x2 + 14x + 48 x2 + x - 30
3) 12x - 20 . · x3 - 7x2 .4) x2 – x - 42 · x2 – 2x - 63 .
2x2- 14x9x2 – 25x2 - 49 x2 – 3x – 54
5)x2- 12x - 15 . + 3x2 – 12x- 13. 6)10x - 9 -7x -18 .
x2 - x - 30 x2 - x - 30 3x +12 3x + 12
7) 5 . + 2x . 8)11 -4x .
6x - 42x2 - 2x -35x2 - x - 20 x2 - 16
9)x + 4. + x - 3 .10)x + 3 - x - 1 .
x2 - 2x -484x2 - 32xx2 - 49 x2 + 3x -28
Answer Key: Section IV:
1) x _2) x – 5 _3) 2x _4) 1
2 x + 5 3x + 5
5) 4(x-7)(x+1)6) x + 3 7) 17x + 25 . 8) - 4x2 +31x - 44
(x-6)(x+5) x + 4 6(x-7)(x+5)(x-5)(x+4)(x-4)
9) 5x2 + 19x - 18 . 10) 7x - 19
4x(x-8)(x+6) (x-7)(x+7)(x-4)
Section V: Operations with Radicals:
1) 10√216 - 9√726 + 3√1,0142) 8√147 - 5√3633) 9√392 _ 7√288
4) 8√180 _5) 9√2 (6√10 - 4√12)6) (9 – 5√5)(8 + 3√5) … 3√245
7) (8 - 2√7)(11 – 3√7)8) 9)
Answer Key: Section V:
1) 02) √33) 3 _4) 16 5)108√5 - 72√66) -3 – 13√57) 130 - 46√7
2 7
8) 47 + 13√59) 3 + 8√3 _
3161