Week of 29 March 2010

Here's what's coming up this (B) week:

Algebra 1
Monday - Section 8.2 Functions and Graphs (p 436 1 - 9; bonus 16) due 3/30
Tuesday - Section 8.3 Graphs of Real-World Situations (p 442 2-6, 8, 10, 15, 16) due 4/1
Wednesday - Section 8.4 Function Notation
Thursday/Friday - Section 8.4 assignment (p 448 1-5, 10, 12, 13 ,14) due 4/2

Algebra 2
Monday - Section 9.4 Hyperbolas (p 520 1abc, 2, 3, 5) due 3/31
Tuesday - Review Conic Sections (In Class Assignment)
Wednesday - Conic Section QUIZ
Thursday/Friday - Section 9.6 Rational Functions (p 540 1, 2, 4, 5, 14, 15) due 4/5

Very soon in both classes we will be beginning our EOI Review. As soon as I know the exact dates for our EOIs, I will be sure to announce them in class, and post them here.

<3 Mrs G

Algebra I Chapter 7 Review SOLUTIONS

Algebra I students, here are the answers to each question from the Chapter 7 Review. Make sure you study!!

1) 4500(2)^4 = 72,000
2) 96(0.65)^3 = 26.36
3) y =38(1 + 0.045)^153 = $31,957.74
4) y = 33(1 + 0.045)^143 = $17,870.78
5) 3; 2; 4; 1
6) 0.71^3
7) 5^6
8) 3^11
9) c^24
10) 7.5^6 = 177,978.52; 7.5x10^6 = 7500000
11) B
12) any two exponents that subtract to 11; any two exponents that subtract to 7
13) -16/27 = 0.59
14) 2^2 g^4 = 4g^4
15) 8^3 j^4 = 512j^4
16) 1; -1; 1
17) u^3 w^3
18) x^8 z^5
19) (4a)/(b^3 c^2)
20) (3a)/(b^4 c^3)
21) 7/(w^6) = 7w^-6
22) n^-7
23) 1/81

Good luck!!

Week of 22 March 2010

Hello, everyone! I hope you all had an excellent Spring Break, I know I did! How awesome was it to sleep in for a whole week?!

Here's what's going on this week in HFAA Algebra:

Algebra 1
Monday - Benchmark Tests
Tuesday - Review Exponent Properties
Wednesday - Chapter 7 Review
Thursday - Chapter 7 Review
Friday - Chapter 7 Test

Algebra 2
Monday - Benchmark Tests
Tuesday - 9.3 Parabolas
Wednesday - 9.3 Parabolas (assignment TBD)
Thursday - 9.4 Hyperbolas
Friday - 9.4 Hyperbolas

And, now, I can officially sign off as,

Mrs. Gunter :-)

8 March 2010

And the countdown to Spring Break begins!! T minus 5 days! Here's what's going on in our neck of the woods (remembering, of course, that this is a B WEEK):

Algebra 1
Monday - Section 7.3/7.5 Multiplication and Exponents (p 385 2-4, 6, 19) due 3/10
Tuesday - Section 7.3/7.5 Division and Exponents (p 396 1-3, 5) due 3/10 (p 385 and 396 will be graded together as one assignment)
Wednesday - QUIZ (7.1, 7.3, 7.5); Section 7.6 Negative and Zero Exponents
Thursday/Friday - QUIZ (Chapter 7); Section 7.6 assignment (p 403 1, 4-9, 14; bonus 12) due at end of hour

Algebra 2
Monday - Section 9.1 The Distance Formula (p 491 1-5) due 3/9
Tuesday - Section 9.2 Circles and Ellipses (today we'll talk about circles)
Wednesday - Section 9.2 Circles and Ellipses (today we'll talk about ellipses)
Thursday/Friday - QUIZ (9.1, 9.2); Section 9.2 assignment (p 503 1, 2, 4, 6, 7, 9, 14, 16; bonus 12); due 3/22

And, the next time I post a "Week Of" entry, I won't be Miss Patchin anymore! :-)

So, for the last time,
<3 Miss P

Algebra II Chapter 7 Review SOLUTIONS

Remember, you need to have the Quadratic Formula and General Form of a Quadratic Equation memorized for your test!

Here are the solutions for the review (remember that sqrt() is the square root of the number in parentheses, so sqrt(4) = 2):

1) 13 (the degree of a polynomial with more than one variable is the sum of the exponents, which gives us 6+6, 5+7, 6+7, 1+8, and 7+1, and the highest is 6+7 = 13)
2) 4
3) -x^10-2x^6+7x^3; -1
4) cubic (you should have to take differences 3 times)
5) quadratic (degree 2)
6) The parabola crosses the x-axis at -4 and -5, with a stretch factor of 3, which means that from the vertex to the next point on the parabola will be a vertical distance of 3. The parabola should be opening upwards
7) The parabola crosses the x-axis at -3 and -4, with a stretch factor of 3, which means that from the vertex to the next point on the parabola will be a vertical distance of 3. The negative in front of the 3 tells us that the parabola has been reflected across the x-axis, which means it opens downward
8) y = 3(x - 4)^2 + 2
9) x = -5 or x = 1/2
10) x = 0 or x = -2/5
11) (3/8, -3/32)
12) (-1, 0)
13) (2/3, 16/3)
14) (1, 0)
15) (2, 21)
16) h = -16t^2 + 139t + 35; graph is a parabola; t = 8.9 s
17) t = 1/4 s
18) x = 1
19) x = -3
20) x = 6.828 or x = 1.172
21) l = 30
22) -3 + 8i
23) 12 - 14i
24) -8 - 4i
25) -2i, 2i, sqrt(5), -sqrt(5)
26) x = (plus or minus) i*sqrt(5)/4
27) 4x^3 + 8x^2
28) -0.2x^3 + 2.38x^2 - 3.5x - 23.0736
29) x-intercepts: -2, 1; minimum: -4
30) factored form, 2x^2 - 10x + 12, 2(x - 2.5)^2 - 0.5; vertex form, -7x^2 + 14x - 5, use the quadratic formula to get the roots for factored form; general form, (x+1)^2 + 5, use the quadratic formula to get the roots for factored form
31)vertex form, 5x^2 - 20x +17, use the quadratic formula to get the roots for factored form; factored form, -3x^2 + 21x - 36, -3(x - 3.5)^2 + 0.75; general form, (x - 2)^2 + 2, (x - (2+i*sqrt(2))(x + (2 - i*sqrt(2))

Week of 1 March 2010

Algebra 1
Monday - Chapter 6 Packet
Tuesday - Chapter 6 Procedures and Examples
Wednesday - Chapter 6 Procedures and Examples; In-Class Assignment (12 problems, on board)
Thursday - Chapter 6 Test
Friday - Chapter 6 Test Corrections

Algebra 2
Monday - Factoring (WS)
Tuesday - Table Method of Factoring (Finish WS)
Wednesday - Chapter 7 Review
Thursday - Chapter 7 Review
Friday - Chapter 7 Test

Algebra II Factoring Problems

Factor each quadratic equation completely. Remember to factor out the GCF first, if you can!!!
1. x^2 - 24x + 144
2. x^2 - 20x + 100
3. 64x^2 + 16x + 1
4. x^2 - 49
5. x^2 + 6x - 55
6. 9x^2 - 49
7. 81x^2 - 1
8. 9x^2 + 24x + 16
9. x^2 - 64
10. x^2 - 5x - 84
11. 49x^2 - 168x + 144
12. 25x^2 - 60x + 36
13. x^2 - x - 110
14. x^2 - 16
15. 25x^2 - 36
16. x^2 - 14x + 24
17. 49x^2 - 144
18. x^2 + 7x + 10
19. x^2 - 18x + 81
20. 25x^2 - 120x + 144
21. 49x^2 - 1
22. 25x^2 - 144
23. x^2 + 2x + 1
24. x^2 - 14x + 33
25. x^2 - 81
26. x^2 - 23x + 132
27. x^2 - 144
28. 81x^2 - 100
29. x^2 - 8x + 7
30. 36x^2 + 60x + 25
31. Write each step for factoring a trinomial with a = 1. How is this different from
factoring a trinomial with a ≠ 1?
32. Write each step for factoring a trinomial with a ≠ 1. What did we call this method?