Graphing
Simplify, Evaluate, or Expand
Rational Functions
Solve
Sequences & Statistics
100

What is the rational function that is graphed below?

x/(x+1)

100

Evaluate:

Round to the nearest ten thousandths

log_4 130

3.5112

100

Simplify:

(6a+12)/5*10/(a+2)

12

100

Solve:

root2(2m+15) = 6

7

100

What is the 25th term of an arithmetic sequence with a first term of 3 and a common difference of 7?

an = d(n - 1) + a1

171

200

What is the rational function graphed below?


y=-1/(x+2)

200

Simplify:

(a^2+a-20)/(a^2-9a+20

(a+5)/(a-5)

200

Simplify:

y/(x^2-y^2)÷y^2/(x-y)

1/[y(x+y)]

200

Solve:

root2(-10-2v)=root2(3v+35)

-9

200

What is the sum of the first 20 terms of the series below?

{1/3 + 1 + 5/3 + 7/3 + 3 + ...}

an = d(n - 1) + a1

Sn = n*(a1 + an)/2

479,890

300

Which equation best represents this graph?


A. f(x) = 2 (4)^x

B. f(x) =2 root2 (4x

C. f(x) = 1/2 * log (4x)

D. f(x) - 2(1/4)^x

D

300

Simplify:

log_2x+4*log_2y

log_2xy^4

300

Simplify:

[(4c^2-36)/(8c^2-24c)]/[(12c+36)/(2c^2-6c)]

(c-3)/12

300

Solve:

(1/16)^(5k)=64^(2k-6

9/8

300

The wait time of various rides at the amusement park is normally distributed with a mean of 15 minutes and a standard deviation of 4 minutes.

What is the probability that someone will wait for at least 20 minutes? 

Answer as a percentage.

10.6%

400

Which graph represents the function?


C

400

What is the factored form of the expression?

n3 + 125

(n + 5)(n2 - 5n + 25)

400

Simplify:

(x^2+5x+4)/(x^2+2x+1)*(2x+2)/(x+4)

2

400

Solve:

n/(n-4)+n=(12-4n)/(n-4)

-4, 3

400

The wait time of various rides at the amusement park is normally distributed with a mean of 15 minutes and a standard deviation of 4 minutes.

What is the probability that someone will wait between 8 and 18 minutes?

Answer as a percentage.

73.3%

500

Which graph shows the inverse of the the function?

f(x) = 2x - 1

B

500

Expand:

log_2(3/x^4)^3

log_2 27 - 12*log_2x

500

Simplify:

[4/(3x)+2/x^2]/[(2x)/(x-1)+3/(x-1)]


(2x-2)/(3x^2)

500

Solve:

f(x) = log 32 - log 2 = 2*log(x-3)

x = 7

500

What is the seventh term of the sequence defined below?

a1 = 2

an = 9 - 0.5an-1

a= d(n - 1) + a1

95/16