Please Note: EOI DATES
Algebra 1: May 3 & 4
Algebra 2: May 10 & 13
This week:
Algebra 1
Monday - EOI Booklet
Tuesday - Test Corrections (due 4/23)
Wednesday - EOI Practice Test
Thursday - EOI Review
Friday - EOI Review
Algebra 2
Monday - EOI Booklet
Tuesday - EOI Review
Wednesday - EOI Practice Test
Thursday - EOI Review
Friday - EOI Review
Wednesday, April 21, 2010
Tuesday, April 13, 2010
Algebra I Chapter 8 Review SOLUTIONS
Remember your test is Wednesday (April 14)!!
Solutions:
1) yes, domain: {0, 1, 2, 3, 4}, range: {7}; yes, domain: {-2, -1, 0, 1, 2}, range: {0, 1, 4}; no, domain: {0, 1, 2}, range: {-8, -1, 0, 1, 8}
2) yes
3) y = 2 (horizontal line with y-intercept 2); yes
4) D
5) volume of the balloon
6) independent: numbers of fans, dependent: number of buses; independent: time, dependent: height; independent: number of coins, dependent: probability
7) 11
8) 31
9) 2
10) 0, 2, 6; line with slope 1 and y-intercept 2
11) 8; 23; 10; 0
12) 1; 2; domain: -2 ≤ x ≤ 7, range: 0 ≤ y ≤ 6
13) x = 2 or x = -2; x = 0; 2; if x < -1 or x > 1
14) 55 ft
15) H(d) = 0.3d + 10
16) P(x) = 0.40 + 0.26(x - 1); P(6) = $1.70
17) linear, decreasing at a constant rate
18) curve going up, then down
19) -5
20) V shape with its vertex at (3, 0) - if you're not sure, make an input-output table
21) -2
22) 57
23) 12 or -12
24) x = 7 or x = -7
25) Upside down U shape with its vertex at (0, 0) - make an input-output table for exact values
26) for x > 1
27) 4; 4; 36; 64; 10; A = s^2
Good Luck! <3 Mrs G
Solutions:
1) yes, domain: {0, 1, 2, 3, 4}, range: {7}; yes, domain: {-2, -1, 0, 1, 2}, range: {0, 1, 4}; no, domain: {0, 1, 2}, range: {-8, -1, 0, 1, 8}
2) yes
3) y = 2 (horizontal line with y-intercept 2); yes
4) D
5) volume of the balloon
6) independent: numbers of fans, dependent: number of buses; independent: time, dependent: height; independent: number of coins, dependent: probability
7) 11
8) 31
9) 2
10) 0, 2, 6; line with slope 1 and y-intercept 2
11) 8; 23; 10; 0
12) 1; 2; domain: -2 ≤ x ≤ 7, range: 0 ≤ y ≤ 6
13) x = 2 or x = -2; x = 0; 2; if x < -1 or x > 1
14) 55 ft
15) H(d) = 0.3d + 10
16) P(x) = 0.40 + 0.26(x - 1); P(6) = $1.70
17) linear, decreasing at a constant rate
18) curve going up, then down
19) -5
20) V shape with its vertex at (3, 0) - if you're not sure, make an input-output table
21) -2
22) 57
23) 12 or -12
24) x = 7 or x = -7
25) Upside down U shape with its vertex at (0, 0) - make an input-output table for exact values
26) for x > 1
27) 4; 4; 36; 64; 10; A = s^2
Good Luck! <3 Mrs G
Monday, April 12, 2010
Algebra II Chapter 9 Review SOLUTIONS
Here are the solutions to the Chapter 9 Review for Algebra 2. Please remember that you may use a SINGLE 3x5 index card - both sides. Come prepared.
Solutions:
1) vertical asymptote: x = -2; horizontal asymptote: y = 1; x-intercepts: -5 and 2; y-intercept: -2.5
2) (5x + 34)/((x + 5)(x - 3)(x + 4)); (x + 8)/(x - 2), x ≠
3) 16 in
4) y = 0
5) d = sqrt(76^2 + x^2) + 42 - x
6) (4, 0) and (-4, 0)
7) (x/48)^2 + (y/18)^2 = 1
8) hole: x = 1; vertical asymptotes: x = -1, x =2
9) skip
10) vertical parabola with f = -1, (h, k) = (0, o)
11) (sqrt(40), 0) and (-sqrt(40), 0)
12) ((x + 2)/5)^2 + ((y + 2)/4)^2 = 1
13) focus: (3, 0) and directrix: x = -3
14) (x + 4)^2 = y + 3
15) a locus of points, the difference of whose distances to the foci is constant
16) C
17) vertices: (-4/3, 2) and (-8/3, 2); foci: -2 + sqrt(85)/3 and -2 - sqrt(85)/3; asymptotes have slope 9/2 or -9/2
18) C
19) Center at (0, 0) with rectangle 4 wide and 10 tall, horizontal hyperbola
20) vertex: (3, -9); focus: (7, -9); directrix: x = -1
21) Center at (4, 3) with rectangle 6 wide and 10 tall, horizontal hyperbola
22) vertical, with (h, k) = (5, -1) and k = -1
23) skip
24) skip
25) (5/3, 0) and (-5/3, 0)
26) B
27) (2x - 19)/(x - 5)
28) (x(x - 3)(x + 8))/((x + 4)(x - 4))
29) (x + 3)^2 - ((y - 1)^2/ 2) = 1
30) vertical asymptote: x = 6; slant asymptote: y = 3x + 2
31) (w^2 + 1)/((w - 1)(w - 2))
32) (-7x + 71)/((x - 9)(x + 1)(x - 1))
33) 2t/3s; 8m; -32a^2b/27
34) (y/2)^2 = x
35) a locus of points whose distance from the focus is equal to its distance to the directrix
36) B
Solutions:
1) vertical asymptote: x = -2; horizontal asymptote: y = 1; x-intercepts: -5 and 2; y-intercept: -2.5
2) (5x + 34)/((x + 5)(x - 3)(x + 4)); (x + 8)/(x - 2), x ≠
3) 16 in
4) y = 0
5) d = sqrt(76^2 + x^2) + 42 - x
6) (4, 0) and (-4, 0)
7) (x/48)^2 + (y/18)^2 = 1
8) hole: x = 1; vertical asymptotes: x = -1, x =2
9) skip
10) vertical parabola with f = -1, (h, k) = (0, o)
11) (sqrt(40), 0) and (-sqrt(40), 0)
12) ((x + 2)/5)^2 + ((y + 2)/4)^2 = 1
13) focus: (3, 0) and directrix: x = -3
14) (x + 4)^2 = y + 3
15) a locus of points, the difference of whose distances to the foci is constant
16) C
17) vertices: (-4/3, 2) and (-8/3, 2); foci: -2 + sqrt(85)/3 and -2 - sqrt(85)/3; asymptotes have slope 9/2 or -9/2
18) C
19) Center at (0, 0) with rectangle 4 wide and 10 tall, horizontal hyperbola
20) vertex: (3, -9); focus: (7, -9); directrix: x = -1
21) Center at (4, 3) with rectangle 6 wide and 10 tall, horizontal hyperbola
22) vertical, with (h, k) = (5, -1) and k = -1
23) skip
24) skip
25) (5/3, 0) and (-5/3, 0)
26) B
27) (2x - 19)/(x - 5)
28) (x(x - 3)(x + 8))/((x + 4)(x - 4))
29) (x + 3)^2 - ((y - 1)^2/ 2) = 1
30) vertical asymptote: x = 6; slant asymptote: y = 3x + 2
31) (w^2 + 1)/((w - 1)(w - 2))
32) (-7x + 71)/((x - 9)(x + 1)(x - 1))
33) 2t/3s; 8m; -32a^2b/27
34) (y/2)^2 = x
35) a locus of points whose distance from the focus is equal to its distance to the directrix
36) B
Friday, April 9, 2010
EOI Exams
EOI (End of Instruction) Exams:
Algebra 1: May 3 & 4
Algebra 2: May 10 & 14
Booklets with information for parents and students will be sent home next week - this include practice questions and testing suggestions.
As soon as we finish the current chapters in our classes, we will be doing EOI review until testing is complete - this will consist of doing EOI-type problems, discussing testing techniques, and summarizing the topics we've covered.
REMEMBER: for this year's Freshmen & Sophomores, they MUST pass the Algebra 1 EOI to graduate high school in the state of Oklahoma. I am taking this very seriously and I hope you are too.
<3 Mrs. G
Algebra 1: May 3 & 4
Algebra 2: May 10 & 14
Booklets with information for parents and students will be sent home next week - this include practice questions and testing suggestions.
As soon as we finish the current chapters in our classes, we will be doing EOI review until testing is complete - this will consist of doing EOI-type problems, discussing testing techniques, and summarizing the topics we've covered.
REMEMBER: for this year's Freshmen & Sophomores, they MUST pass the Algebra 1 EOI to graduate high school in the state of Oklahoma. I am taking this very seriously and I hope you are too.
<3 Mrs. G
Monday, April 5, 2010
Week of 5 April 2010
Hello everyone!
The Algebra 1 EOI has been tentatively scheduled for May 3 & 4.
The Algebra 2 EOI has been tentatively scheduled for May 10 & 14.
This is what's coming up this week:
Algebra 1
Monday - Section 8.5 Interpreting Graphs (p 456 1-9, 11-13; bonus 10) due 4/6
Tuesday - Section 8.6 Absolute Value Function
Wednesday - Finish Section 8.6 (p 463 1-4, 6-9, 11, 14, 15; bonus 12) due 4/8
Thursday - Section 8.7 Quadratic Function
Friday - Section 8.7 (p 468 1, 3, 4, 6-10, 14; bonus 2) due 4/12
Algebra 2
Monday - Section 9.7 Graphs of Rational Functions
Tuesday - Finish Section 9.7 (p 547 1-7, 10, 11, 15, 16; bonus 10) due 4/8
Wednesday - Section 9.8 Operations on Rational Expressions
Thursday - Finish Section 9.8 (p 555 1-8; bonus 10) due 4/12
Friday - Chapter 9 Review (we'll finish the review on Monday 4/12 and take Ch 9 Test on 4/13)
Adios!
<3 Mrs G
The Algebra 1 EOI has been tentatively scheduled for May 3 & 4.
The Algebra 2 EOI has been tentatively scheduled for May 10 & 14.
This is what's coming up this week:
Algebra 1
Monday - Section 8.5 Interpreting Graphs (p 456 1-9, 11-13; bonus 10) due 4/6
Tuesday - Section 8.6 Absolute Value Function
Wednesday - Finish Section 8.6 (p 463 1-4, 6-9, 11, 14, 15; bonus 12) due 4/8
Thursday - Section 8.7 Quadratic Function
Friday - Section 8.7 (p 468 1, 3, 4, 6-10, 14; bonus 2) due 4/12
Algebra 2
Monday - Section 9.7 Graphs of Rational Functions
Tuesday - Finish Section 9.7 (p 547 1-7, 10, 11, 15, 16; bonus 10) due 4/8
Wednesday - Section 9.8 Operations on Rational Expressions
Thursday - Finish Section 9.8 (p 555 1-8; bonus 10) due 4/12
Friday - Chapter 9 Review (we'll finish the review on Monday 4/12 and take Ch 9 Test on 4/13)
Adios!
<3 Mrs G
Monday, March 29, 2010
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 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
Thursday, March 25, 2010
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!!
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!!
Monday, March 22, 2010
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 :-)
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 :-)
Monday, March 8, 2010
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 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
Thursday, March 4, 2010
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))
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))
Tuesday, March 2, 2010
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
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?
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?
Monday, February 22, 2010
Week of 22 February 2010
Three weeks till Spring Break everyone!!! We can make it!
Here's what's going on this week (B WEEK):
Algebra 1
Monday - 2nd hour finish tests; 5th, 7th hours bonus work
Tuesday - 7.2 Exponential Equations
Wednesday - 7.2 assignment (p 378 1-3, 5, 6, 9; bonus 14)
Thursday/Friday - 7.6 Zero & Negative Exponents
Algebra 2
Monday - Finish up 7.5 Complex Numbers (p 394 1-7, 9-11, 13, 14; bonus 8) due 2/23
Tuesday - 7.6 Factoring Polynomials
Wednesday - 7.6 assignment (p 402 1-4, 6-8, 11-13; bonus 10) due 2/26
Thursday/Friday - Chapter 7 Review
There will be a Chapter 7 Test for Algebra 2 on MONDAY 1 MARCH 2010.
Here's what's going on this week (B WEEK):
Algebra 1
Monday - 2nd hour finish tests; 5th, 7th hours bonus work
Tuesday - 7.2 Exponential Equations
Wednesday - 7.2 assignment (p 378 1-3, 5, 6, 9; bonus 14)
Thursday/Friday - 7.6 Zero & Negative Exponents
Algebra 2
Monday - Finish up 7.5 Complex Numbers (p 394 1-7, 9-11, 13, 14; bonus 8) due 2/23
Tuesday - 7.6 Factoring Polynomials
Wednesday - 7.6 assignment (p 402 1-4, 6-8, 11-13; bonus 10) due 2/26
Thursday/Friday - Chapter 7 Review
There will be a Chapter 7 Test for Algebra 2 on MONDAY 1 MARCH 2010.
Monday, February 15, 2010
Week of 15 February 2010
Hey everyone - I apologize for not getting last week's schedule up! If you need any of the assignments, let me know in class or email me - mpatchin@hardingfinearts.org
This week, however, this is what we're looking at:
Algebra 1
Monday - Section 6.7 Systems of Inequalities with in-class assignment
Tuesday - Section 6.7 assignment (p 358 1-5, 7, 10, 11, 16; bonus 12) due 2/17
Wednesday - Chapter 6 Review
Thursday - Chapter 6 Review
Friday - Chapter 6 Test
Algebra 2
Monday - Section 7.4 Quadratic Formula with in-class assignment
Tuesday - Section 7.4 assignment (p 388 1-10, 14, 15; bonus 12) due 2/18
Wednesday - Begin Section 7.5 Complex Numbers
Thursday - Finish Section 7.5
Friday - Section 7.5 assignment (p 394 1-7, 9-11, 13, 14; bonus 8) due 2/22
Th-th-th-that's all folks! (are you guys too young to know where that's from?)
<3 Miss P
This week, however, this is what we're looking at:
Algebra 1
Monday - Section 6.7 Systems of Inequalities with in-class assignment
Tuesday - Section 6.7 assignment (p 358 1-5, 7, 10, 11, 16; bonus 12) due 2/17
Wednesday - Chapter 6 Review
Thursday - Chapter 6 Review
Friday - Chapter 6 Test
Algebra 2
Monday - Section 7.4 Quadratic Formula with in-class assignment
Tuesday - Section 7.4 assignment (p 388 1-10, 14, 15; bonus 12) due 2/18
Wednesday - Begin Section 7.5 Complex Numbers
Thursday - Finish Section 7.5
Friday - Section 7.5 assignment (p 394 1-7, 9-11, 13, 14; bonus 8) due 2/22
Th-th-th-that's all folks! (are you guys too young to know where that's from?)
<3 Miss P
Thursday, February 4, 2010
Algebra I Quiz Solutions
Some helpful information:
point-slope form: y = y1 + m(x - x1)
slope-intercept form: y = mx + b
slope formula: m = (y2 - y1)/(x2 - x1)
1) Use two points in the table to calculate the slope: (3, 12) and (7, 24). m = (24 - 12)/(7 - 3) = 12/4 = 3. Use any point to write the equation in point-slope form. (3, 12). y = 12 + 3(x - 3)
2) Use the points on the graph to count the slope. From the first to the second point (left to right), I count up 2, right 1, which gives me the slope 2/1 = 2. The y-intercept is at 2, so my equation in slope-intercept form is y = 2x + 2.
3) Same process as #2. The slope is counted down 3, right 2, which gives me a slope of -3/2 = -1.5. The y-intercept is 6, so my equation is y = -1.5x + 6.
4) Use the slope formula: m = (-4 - -1)/(9 - -4) = (-4 + 1)/(9+4) = -3/13
5) m = (-4 - 4)/(-4 - 3) = -8/-7 = 8/7
6) m = (0 - 0)/(1 - 0) = 0/1 = 0
Wednesday, February 3, 2010
Week of 1 February 2010
Welcome back from Winter Break Pt. 2!! Hope you guys enjoyed the break, because if we had to hurry before, we definitely need to hustle now!!
Here's what's on tap this week:
Algebra 1
Monday - NO SCHOOL
Tuesday - NO SCHOOL
Wednesday - Start Section 6.2 Solving Systems of Equations with Substitution
Thursday - Short quiz; Finish 6.2 and start the assignment p 320 (1-7, 9, 14; bonus 10) due 2/8/10
Friday - Start Section 6.3 Solving Systems of Equations with Elimination
Algebra 2
Monday - NO SCHOOL
Tuesday - NO SCHOOL
Wednesday - Start Section 7.2 Equivalent Quadratic Forms
Thursday - Finish Section 7.2 and start the assignment p 372 (1-5, 8, 9, 11, 13-16; bonus 12) due 2/8/10
Friday - Start Section 7.3 Completing the Square
Here's what's on tap this week:
Algebra 1
Monday - NO SCHOOL
Tuesday - NO SCHOOL
Wednesday - Start Section 6.2 Solving Systems of Equations with Substitution
Thursday - Short quiz; Finish 6.2 and start the assignment p 320 (1-7, 9, 14; bonus 10) due 2/8/10
Friday - Start Section 6.3 Solving Systems of Equations with Elimination
Algebra 2
Monday - NO SCHOOL
Tuesday - NO SCHOOL
Wednesday - Start Section 7.2 Equivalent Quadratic Forms
Thursday - Finish Section 7.2 and start the assignment p 372 (1-5, 8, 9, 11, 13-16; bonus 12) due 2/8/10
Friday - Start Section 7.3 Completing the Square
Monday, January 25, 2010
Algebra II Chapter 5 Review SOLUTIONS
Solutions are listed below with work provided for some questions. Answers for different parts of one question are separated by semicolons - i.e. for 1) a, b, c the solutions would be written 1) solution to a; solution to b; solution to c. So, without further ado:
Solutions
1) 0.82^6 = 0.3
2) 5*4^2.4 = 139.3
3) for t = 0, y = 4^7; for t = 3/2 = 1.5, y = 4^7 * 4^1.5 = 4^8.5 = 131,072
4) y = 50(2)^x (exponential function with starting value 50 and a growth rate of 2)
5) (xz/w^5) + (x^2/w^3)
6) x = -4
7) x = 4; x = 2
8) 2
9) 4
10) 12x^6
11) Use the points to write two equations in point-ratio form, then solve for b to get y = 0.277(3)^(x+1) or y = 0.031(3)^(x+3)
12) y = 6(2)^x
13) put 70 in for p to get s =45.68; put 50 in for s to get p = 120.43
14) y = 4800(2)^t; y = 4800(2)^4 = 76,800
15) y = 6x + 9
16) y = (x^2 + 6x + 1)/(-8)
17) y = (x - 2)/3; yes - there is only one output for each input
18) The graphs should be reflections about the line y = x. The inverse function should be y = (x + 2)/3
19) Find the inverse function, then put 6 in for x. You should get -2. Put -2 in the original function for x. The end result should be what you started with: 6. This is because composing a function with its inverse will undo itself.
20) -8
21) 8
22) x = 1.97 (remember that 4.7 should be the base and 21 should be a)
23) 4
24) -7
25) 3.17
26) To begin, take the log of both sides then use the power property of logarithms to bring the exponent down. You should get x = 5.03
27) 2.2694 (d)
28) Use your logarithm properties to simplify! Remember that taking the antilog of something leaves you with what you started with - i.e. if I had log x, then 10^log x = x. If I had log 2, 10^log 2 = 2, and so on. So if I had log (x-6)/(x-1), 10^log (x-6)/(x-1) = (x-6)/(x-1) and if I do it to one side, I have to do it to the other, too! x = 36
29) True - this is the quotient property of logarithms
30) log (base p) 4. You should use the power property and quotient property to simplify.
31) 3rd root of m squared; 4logb; logx / log7; y/x^2; 2^(3x + 3y); log10/3
32) 4.19; 0.001; 0.4; -8.46; 2.40, -2.40; 6
33) Write an exponential equation with a = 23000, b = 1 - 0.17. Set it equal to 10000, then solve for x. x = 4.47 years (about 4 years, 6 months)
34) ((x + 1)/2)^2 - 3; 13/4; 6
35) a = 7.44, b = 22.89; 0.47; $48.94; 2.14 hours (2 hours, 8 minutes)
36) y = ((x-3)/5)^2 + 2; 51/25; 5
Please email me at mpatchin@hardingfinearts.org if you have any questions!! I should be at school until around 4:30 today.
Solutions
1) 0.82^6 = 0.3
2) 5*4^2.4 = 139.3
3) for t = 0, y = 4^7; for t = 3/2 = 1.5, y = 4^7 * 4^1.5 = 4^8.5 = 131,072
4) y = 50(2)^x (exponential function with starting value 50 and a growth rate of 2)
5) (xz/w^5) + (x^2/w^3)
6) x = -4
7) x = 4; x = 2
8) 2
9) 4
10) 12x^6
11) Use the points to write two equations in point-ratio form, then solve for b to get y = 0.277(3)^(x+1) or y = 0.031(3)^(x+3)
12) y = 6(2)^x
13) put 70 in for p to get s =45.68; put 50 in for s to get p = 120.43
14) y = 4800(2)^t; y = 4800(2)^4 = 76,800
15) y = 6x + 9
16) y = (x^2 + 6x + 1)/(-8)
17) y = (x - 2)/3; yes - there is only one output for each input
18) The graphs should be reflections about the line y = x. The inverse function should be y = (x + 2)/3
19) Find the inverse function, then put 6 in for x. You should get -2. Put -2 in the original function for x. The end result should be what you started with: 6. This is because composing a function with its inverse will undo itself.
20) -8
21) 8
22) x = 1.97 (remember that 4.7 should be the base and 21 should be a)
23) 4
24) -7
25) 3.17
26) To begin, take the log of both sides then use the power property of logarithms to bring the exponent down. You should get x = 5.03
27) 2.2694 (d)
28) Use your logarithm properties to simplify! Remember that taking the antilog of something leaves you with what you started with - i.e. if I had log x, then 10^log x = x. If I had log 2, 10^log 2 = 2, and so on. So if I had log (x-6)/(x-1), 10^log (x-6)/(x-1) = (x-6)/(x-1) and if I do it to one side, I have to do it to the other, too! x = 36
29) True - this is the quotient property of logarithms
30) log (base p) 4. You should use the power property and quotient property to simplify.
31) 3rd root of m squared; 4logb; logx / log7; y/x^2; 2^(3x + 3y); log10/3
32) 4.19; 0.001; 0.4; -8.46; 2.40, -2.40; 6
33) Write an exponential equation with a = 23000, b = 1 - 0.17. Set it equal to 10000, then solve for x. x = 4.47 years (about 4 years, 6 months)
34) ((x + 1)/2)^2 - 3; 13/4; 6
35) a = 7.44, b = 22.89; 0.47; $48.94; 2.14 hours (2 hours, 8 minutes)
36) y = ((x-3)/5)^2 + 2; 51/25; 5
Please email me at mpatchin@hardingfinearts.org if you have any questions!! I should be at school until around 4:30 today.
Week of 25 January 2010
Remember this is a B Week!!
Algebra 1
Monday - Quiz; Start Section 6.1 Systems of Equations
Tuesday - Finish Section 6.1 and do assignment (p 311 1, 2, 5, 8, 11, 13, 16; bonus 6) due 1/27
Wednesday - Section 6.2 Subsitution
Thursday/Friday - Finish Section 6.2 and do assignment (TBD)
Algebra 2
Monday - Chapter 5 Review (solutions posted at 3:00 pm)
Tuesday - Chapter 5 Test
Wednesday - Section 7.1 Polynomial Degree and assignment (TBD)
Thursday/Friday - Section 7.2 Equivalent Quadratic Forms and assignment (TBD)
Have a great week!!
Algebra 1
Monday - Quiz; Start Section 6.1 Systems of Equations
Tuesday - Finish Section 6.1 and do assignment (p 311 1, 2, 5, 8, 11, 13, 16; bonus 6) due 1/27
Wednesday - Section 6.2 Subsitution
Thursday/Friday - Finish Section 6.2 and do assignment (TBD)
Algebra 2
Monday - Chapter 5 Review (solutions posted at 3:00 pm)
Tuesday - Chapter 5 Test
Wednesday - Section 7.1 Polynomial Degree and assignment (TBD)
Thursday/Friday - Section 7.2 Equivalent Quadratic Forms and assignment (TBD)
Have a great week!!
Tuesday, January 19, 2010
Algebra I Chapter 5 Test Review SOLUTIONS
The solutions to each question are listed below. Each part of a question is separated by semicolons - i.e. If there was 1) (a) (b), the answer would be listed 1) answer to a; answer to b.
Solutions:
1) add 9 to both sides; multiply by 8 on both sides
2) R = D/2; w = (P/2) - l; r = d/t; h = 2A/b
3) h = 3.5
4) k = 4
5) x = -2.45 (rounded to 2 decimal places)
6) rate of change ~ -167 dollars per year
7) C
8) plot points; connect using line segments; 1994 to 1996
9) -3/4; use the slope formula (6-9)/(2+2) = -3/4 so yes it is on the line; (10, 0)
10) -0.5; 1; 1
11) (9, 15) and (17, 22)
12) undefined
13) 0
14) y = 2x + 7
15) y = 26x + 800; $3192 for 92 people
16) y = -8 + 6(x - 3) or y = 6x - 26
17) y = 7 + 8(x -5) or y = -1 + 8(x - 4)
18) y = 2x - 10
19) y = 2x - 8
20) yes
21) no
22) no
23) (18 - 5) - v or 13 - v
24) y = 2x + 4; y = 0.5x - 2.5; y = -4x - 5
25) y = 30300 + 900(x - 11) or y = 900x + 20400
Solutions:
1) add 9 to both sides; multiply by 8 on both sides
2) R = D/2; w = (P/2) - l; r = d/t; h = 2A/b
3) h = 3.5
4) k = 4
5) x = -2.45 (rounded to 2 decimal places)
6) rate of change ~ -167 dollars per year
7) C
8) plot points; connect using line segments; 1994 to 1996
9) -3/4; use the slope formula (6-9)/(2+2) = -3/4 so yes it is on the line; (10, 0)
10) -0.5; 1; 1
11) (9, 15) and (17, 22)
12) undefined
13) 0
14) y = 2x + 7
15) y = 26x + 800; $3192 for 92 people
16) y = -8 + 6(x - 3) or y = 6x - 26
17) y = 7 + 8(x -5) or y = -1 + 8(x - 4)
18) y = 2x - 10
19) y = 2x - 8
20) yes
21) no
22) no
23) (18 - 5) - v or 13 - v
24) y = 2x + 4; y = 0.5x - 2.5; y = -4x - 5
25) y = 30300 + 900(x - 11) or y = 900x + 20400
Week of 19 January 2010
Algebra 1
Monday - NO SCHOOL
Tuesday - Chapter 5 Review (answers will be posted after 3:00 pm 1/19)
Wednesday - Chapter 5 Test
Thursday - Section 6.1 Solving Systems of Equations
Friday - Finish Section 6.1 and do assignment (p 311 1, 2, 5, 6, 8, 13, 16; bonus 10) due 1/25
Algebra 2
Monday - NO SCHOOL
Tuesday - Section 5.6 Logarithmic Functions
Wednesday - Finish Section 5.6 and do assignment (p 276 1-7, 10, 13; bonus 12) due 1/22
Thursday - Section 5.7 Properties of Logarithms
Friday - Finish Section 5.7 and do assignment (p 282 1-5, 8; bonus 12) due 1/25
Monday - NO SCHOOL
Tuesday - Chapter 5 Review (answers will be posted after 3:00 pm 1/19)
Wednesday - Chapter 5 Test
Thursday - Section 6.1 Solving Systems of Equations
Friday - Finish Section 6.1 and do assignment (p 311 1, 2, 5, 6, 8, 13, 16; bonus 10) due 1/25
Algebra 2
Monday - NO SCHOOL
Tuesday - Section 5.6 Logarithmic Functions
Wednesday - Finish Section 5.6 and do assignment (p 276 1-7, 10, 13; bonus 12) due 1/22
Thursday - Section 5.7 Properties of Logarithms
Friday - Finish Section 5.7 and do assignment (p 282 1-5, 8; bonus 12) due 1/25
Wednesday, January 13, 2010
Week of 11 January 2010
How about that weather last week?! Since we were out of school Friday, the schedules from this week and last will appear to overlap, but... they didn't.
Don't forget this is a B Week!
Algebra 1:
Monday - Section 5.4 Equivalent expressions
Tuesday - Finish Section 5.4 and do assignment (p 279 1-10; bonus 14) due 1/13
Wednesday - More practice solving Equations (WS)
Thursday/Friday - Algebraic Scavenger Hunt
Algebra 2:
Monday - Section 5.3 Rational Roots and Exponents (p 256 1-4) due 1/12
Tuesday - Finish Section 5.3 and do assignment (p 256 1-5, 11, 13-15; bonus 10) due 1/13
Wednesday - Section 5.5 Building Inverse Functions
Thursday/Friday - Finish Sectino 5.5 and do assignment (p 269 1-4, 6, 8, 9, 12, 15, 16, 18; bonus 14) due 1/15
Have a great week, everyone!
<3 Miss P
Don't forget this is a B Week!
Algebra 1:
Monday - Section 5.4 Equivalent expressions
Tuesday - Finish Section 5.4 and do assignment (p 279 1-10; bonus 14) due 1/13
Wednesday - More practice solving Equations (WS)
Thursday/Friday - Algebraic Scavenger Hunt
Algebra 2:
Monday - Section 5.3 Rational Roots and Exponents (p 256 1-4) due 1/12
Tuesday - Finish Section 5.3 and do assignment (p 256 1-5, 11, 13-15; bonus 10) due 1/13
Wednesday - Section 5.5 Building Inverse Functions
Thursday/Friday - Finish Sectino 5.5 and do assignment (p 269 1-4, 6, 8, 9, 12, 15, 16, 18; bonus 14) due 1/15
Have a great week, everyone!
<3 Miss P
Wednesday, January 6, 2010
Week of 5 January 2010
Algebra 1:
Monday - NO SCHOOL
Tuesday - Benchmark 2
Wednesday - Short review of 5.1 & 5.3, in class assignment (3 questions)
Thursday - 5.4 Equivalent Expressions
Friday - Finish 5.4 and assign p 279 1-10 (bonus 14) due 1/11
Algebra 2:
Monday - NO SCHOOL
Tuesday - Benchmark 2
Wednesday - Short review of 5.1 & 5.2, in class assignment (5 questions)
Thursday - 5.3 Rational Roots and Expressions
Friday - Finish 5.3 and assign p 256 1-5, 11, 13-15 (bonus TBD) due 1/11
Gotta hit the ground running to get everything done!
Monday - NO SCHOOL
Tuesday - Benchmark 2
Wednesday - Short review of 5.1 & 5.3, in class assignment (3 questions)
Thursday - 5.4 Equivalent Expressions
Friday - Finish 5.4 and assign p 279 1-10 (bonus 14) due 1/11
Algebra 2:
Monday - NO SCHOOL
Tuesday - Benchmark 2
Wednesday - Short review of 5.1 & 5.2, in class assignment (5 questions)
Thursday - 5.3 Rational Roots and Expressions
Friday - Finish 5.3 and assign p 256 1-5, 11, 13-15 (bonus TBD) due 1/11
Gotta hit the ground running to get everything done!
Monday, January 4, 2010
Welcome Back!!
Hey everyone! I hope you all had a great break, I know I did. Here's a summary as evidence:
- The HFAA Faculty Christmas party - such fun people and yummy food! It was a blast!
- Sleeping in as late as I wanted
- Christmas with my extended family - 4 generations!
- Not getting up early
- Keeping my nephew for 3 days
- Devon (my fiance, remember) bought a new truck! It's a Hybrid... hello better gas mileage!
- Getting up late
- THE BLIZZARD - how awesome was it?! Our fence blew over. Dogs are safe, though, which is good. Oh and can you say 14 INCHES OF SNOWY GOODNESS? I like the snow. Especially when I'm inside with a cup of hot chocolate!
- Going to visit my parents - we stayed 2 nights, our dogs had a great play-date with my mom's dogs. Picture this if you will: 1 German Shepherd (~100 pounds), 1 Australian Shepherd (~40 pounds), 1 Aussie/Border Collie (~50 pounds), and 1 Maltese (~10 pounds) and 4 grown adults, then adding a 9 year-old the second night ALL in a 2 bedroom house :-) It's amazing I didn't fall and break something with all the dogs underfoot!
- SLEEPING as much as I wanted
- Getting a new classroom with ENOUGH DESKS for everyone! Hooray!!!
- Did I mention that I liked sleeping in?
----------------------------------------------------------
All kidding aside, I hope that we're all ready to hit the ground running this semester because we still have a lot to cover before the EOIs in April.
Also, remember that I'm now located in room 407, which is the old Spanish room. You can't miss my letters above the door, though, so hopefully no one will be too lost! See you guys then!!
<3>
Subscribe to:
Posts (Atom)
