Rationals
Trigonometry
Sequences
Conics
Mr. K
200
Simplify:
`3/(x+4)+(2x-3)/(x+4)`
`(2x)/(x+4)`
200
In triangle #1, find x.
`x=15.92`
200
What is the common difference of the following sequence:
`a_n=5-3n`
`d=-3`
200
What is the radius of the following circle?
`(x-4)^2+(y+3)^2=4`
`r=2`
200
Mr. K is brand loyal to which water bottle/coffee cup?
Yeti
400
Simplify:
`(x^2+11x+18)/(x+3)*1/(x+2)`
`(x+9)/(x+3)`
400
In triangle #2, find a.
`a=29`
400
Write a rule for an arithmetic sequence:
`a_13=24; d=2`
`a_n=-2+2n`
400
Name the type of conic and identify the center:
`(x+3)^2/16+y^2/25=1`
Ellipse,
`(-3,0)`
400
Mr. K is wrapping up his ____ year of teaching.
3rd
600
Find any vertical asymptotes for the following:
`(x^3+x^2+8x)/(3x^2+3x-6)`
`x=1, -2`
600
In triangle #2, find B.
`B=48`
600
Write a rule for a geometric sequence:
`a_5=-162; a_2=-6`
`a_n=-2(3)^(n-1)`
600
What is the value of c for the following:
`(x-1)^2/25-(y+4)^2/16=1`
`c=+-sqrt41`
600
Mr. K and his wife recently got a dog. What is her name? (the dog)
Nova
800
Solve:
`3/(x+1)=9/(4x+5)`
`x=-2`
800
Solve using the unit circle:
`2+2cos(x)=2`
`x=pi/2, (3pi)/2`
800
Evaluate the series:
`sum_(n=1)^22(2+4n)`
`1056`
800
Write an equation for a parabola with a directrix of
`y=-5`
`x^2=20y`
800
During the hunger games, how many animals did Mr. K run over in just the first passing period alone?
14
1000
Solve:
`3/(4x)+1/4=(x+3)/x`
`x=-3`
1000
Solve using the unit circle:
`sin^2(x)=1/4`
`x=pi/6, (5pi)/6, (7pi)/6, (11pi)/6`
1000
Evaluate the sum:
`sum_(n=1)^infty18*(-4/5)^(n-1)`
`10`
1000
Write an equation of an ellipse with the following vertices and foci:
`(0,13), (0,-13) `
`(0,12), (0,-12)`
`x^2/25+y^2/169=1`
1000
Last semester, Mr. K had the most exam vouchers. How many? (within 2)
65