Embed Size (px)
Citation preview
2 2log ( 7) log ( ) 3x x 1.)
Solve for x:
2
7log ( ) 3
x
x
3 72
x
x
78
x
x
xx
8 7x x
7 7x 1x
33 3log (2 ) log (32)x 2.)
32 32x 52532 2x
3 5x 3 3
53x
•Jeopardy•Double Jeopardy•Final Jeopardy
Simplification with Simplification with FactoringFactoring
FunctionsFunctionsComplex Complex
thingsthingsSeries or Series or SequenceSequence
100 100 100 100
200 200 200 200
300 300 300 300
400 400 400 400
500 500 500 500
Simplification with Factoring Simplification with Factoring (100)(100)
• Simplify Simplify
5xy5xy ● ● 8x8x22
2 15y2 15y33
Simplification with Factoring Simplification with Factoring (200)(200)
• SimplifySimplify
tt22 – 9 – 9
tt33-6t-6t22+9t+9t
Simplification with Factoring Simplification with Factoring (300)(300)
•SimplifySimplify
kk22-2k-8-2k-8 ● ● 2k+32k+3
2k2k22+5k+3+5k+3 k-4 k-4
Simplification with Factoring Simplification with Factoring (400)(400)
• Simplify Simplify
2x-142x-14 6x6x33
xx22-2x-35-2x-35 x x22-9-9
Simplification with Factoring Simplification with Factoring (500)(500)
• yy22-4y-4y yy22-9y+20-9y+20
yy22+2y 2y+2y 2y22-9y-5-9y-5
Functions (100)Functions (100)
•Find f(x) + g(x)Find f(x) + g(x)
f(x)=xf(x)=x2 2 + 2x - 5+ 2x - 5
g(x) = 3x - 4g(x) = 3x - 4
Functions (200)Functions (200)
• Find f(2)-g(2)Find f(2)-g(2)
f(x)=xf(x)=x2 2 + 2x - 5+ 2x - 5
g(x) = 3x - 4g(x) = 3x - 4
Simplify Simplify
Functions (300)Functions (300)
• Find f(x)Find f(x)g(x)g(x)
f(x)=xf(x)=x2 2 + 2x - 5+ 2x - 5
g(x) = 3x - 4g(x) = 3x - 4
Functions (400)Functions (400)
• Find f(g(x))Find f(g(x))f(x)=xf(x)=x2 2 + 2x - 5+ 2x - 5
g(x) = 3x - 4g(x) = 3x - 4
Functions (500)Functions (500)
Find f(x)+g(x)Find f(x)+g(x)
f(x)=xf(x)=x22-2x+4-2x+4
g(x)=3(x-4)g(x)=3(x-4)22
Complex things Complex things (100)(100)
• Solve Solve
3x3x2 2 + 28=4+ 28=4
Complex things Complex things (200)(200)
•(-3 + i)(4 + 3i)(-3 + i)(4 + 3i)
Complex things Complex things (300)(300)
• Simplify Simplify
4 + i4 + i
4 - i4 - i
Complex things Complex things (400)(400)
• Solve and checkSolve and check
33 + 9 = + 9 = rr
r-3 r-3r-3 r-3
Complex things Complex things (500)(500)
• 55 + + xx22 -4 -4 = = xx x-2x-2 xx22+3x-10+3x-10 x+5x+5
How many? (100)How many? (100)
• In the first 5 basketball In the first 5 basketball game, Shaq 12, 9,18,15, game, Shaq 12, 9,18,15, and 16 points. Calculate and 16 points. Calculate the range, mean, the range, mean, variance and standard variance and standard deviation.deviation.
How many? (200)How many? (200)
•How many social How many social security numbers security numbers can be created if can be created if they are composed they are composed of 9 numbers?of 9 numbers?
How many? (300)How many? (300)
•How many combinations How many combinations can be formed from the can be formed from the letters in the word letters in the word STAPLER, taking them 6 STAPLER, taking them 6 taking 5 times?taking 5 times?
How many? (400)How many? (400)
•In a deck of 52 cards, In a deck of 52 cards, what is the probability what is the probability that I draw a face that I draw a face card?card?
How many? (500)How many? (500)
• The 12-member pep squad The 12-member pep squad has 6 seniors and 6 juniors. has 6 seniors and 6 juniors. At the ball game the juniors At the ball game the juniors wear maroon shirts and the wear maroon shirts and the seniors wear gold shirts. How seniors wear gold shirts. How many ways are there for the many ways are there for the members to arrange members to arrange themselves by the color of themselves by the color of their sweater?their sweater?
Series or Sequence (100)Series or Sequence (100)
• Is the sequence Is the sequence arithmetic and arithmetic and geometric?geometric?
3, 6, 12, …3, 6, 12, …
Series or Sequence (200)Series or Sequence (200)
• Write the Write the series in sigma series in sigma notationnotation
3+5+7+…+413+5+7+…+41
Series or Sequence (300)Series or Sequence (300)
• Write the rule. Write the rule. Then find aThen find a55
5,15,45,…5,15,45,…
Series or Sequence (400)Series or Sequence (400)
• For a geometric For a geometric sequence r=3/2 sequence r=3/2 and tand t33=3. Find t=3. Find t11 and write the rule.and write the rule.
Series or Sequence (500)Series or Sequence (500)
• Find the sum of the Find the sum of the arithmetic sequence arithmetic sequence of the first 25 terms, of the first 25 terms, tt11= -2 given = -2 given
tt2525 =102 =102
CategorCategory Ay A
CategorCategory By B
CategorCategory Cy C
CategorCategory Dy D
CategorCategory Ey E
200 200 200 200 200
400 400 400 400 400
600 600 600 600 600
800 800 800 800 800
1000 1000 1000 1000 1000
Category A (200)Category A (200)
Category A (400)Category A (400)
Category A (600)Category A (600)
Category A (800)Category A (800)
Category A (1000)Category A (1000)
Category B(200)Category B(200)
Category B(400)Category B(400)
Category B(600)Category B(600)
Category B(800)Category B(800)
Category B(1000)Category B(1000)
Category C (200)Category C (200)
Category C (400)Category C (400)
Category C (600)Category C (600)
Category C (800)Category C (800)
Category C (1000)Category C (1000)
Category D (200)Category D (200)
Category D (400)Category D (400)
Category D (600)Category D (600)
Category D (800)Category D (800)
Category D (1000)Category D (1000)
Category E (200)Category E (200)
Category E (400)Category E (400)
Category E (600)Category E (600)
Category E (800)Category E (800)
Category E (1000)Category E (1000)
Final Jeopardy QuestionFinal Jeopardy Question
If a=12, If a=12, <B=42.1º , <B=42.1º , <C=34.6º,Solve <C=34.6º,Solve the triangle.the triangle.
