Factoring
Logs
Trig
Imaginary Numbers
Functions
100

Factor  6x^3-15x^2 

What is  3x^2(2x-5) ?

100

Write  4^3=64  as a log equation.

What is  log_4 64=3 ?

100

The equation below can be used to model the height of a tide in feet,  H(t) , on a beach at  t  hours.  H(t)=4.8sin (pi/6(t+3))+5.1  Using this function, the amplitude of the tide is

What is 4.8?

100

Without using a calculator, simplify  i^36 

What is 1?

100

Write a function based on the following graph, where  a,b,c,d > 0 

What is  f(x)=-(x+a)(x+b/c)(x-d) 

200

Factor  t^8-100 

What is  (t^4-10)(t^4+10) ?

200

Solve for a to the nearest hundredth  13(3)^a=50 

What is  a=1.23 ?

200

Given that  cos(theta)=5/13 and that angle  theta  terminates in quadrant IV, then what is the value of  tan(theta) ?

What is tan (theta)= -12/5 ?

200

What are the roots of the equation x^2+6x=-73 in simplest a+bi form?

What is  -3+-8i ?

200

Find  f(g(3))  f(x)=x^2, g(x)=2x+3 

What is 81?

300

Factor  (x+1)^2-6(x+1)+5 

What is  x(x-4) ?

300

Solve for b to the nearest hundredth   2e^b=1 

What is  -.69 ?

300

Given  cscA= sqrt(29)/2  and that angle A terminates in Quadrant II, find the exact value of  cos A  in simplest radical form using a rational denominator.

What is  cos A = -(5sqrt(29))/29 ?

300

Express  i(x+i)-(x-i)^2  in simplest  a+bi form.

What is  -x^2+3x i ?

300

Find  f^-1(x) when  f(x)=(x+2)^(1/3) 

What is  f^-1(x)= x^3-2 ?

400

 Factor completely  6p^5-6p 

What is  6p(p^2+1)(p-1)(p+1) 

400

Solve for c to the nearest hundredth  7.8=1.065^c+3 

What is  24.91 ?

400

Write the trig equation based on the graph. 

What is  y=2cos6(x) ?

400

Given  i  is the imaginary unit and  a=i^3, b+i^2, c=i , in simplest term write an expression that is equivalent to  2ax^2+3bx-cx 

What is  -2ix^2-3x-ix ?

400

Aubrey invested $61,000 in an account paying an interest rate of 1.9% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest hundredth of a year, for the value of the account to reach $73,600?

What is 9.88 years?

500

Factor completely  8x^3+16x^2-2x-4 

 What is  2(x+2)(2x-1)(2x+1) ?

500

Solve for d to the nearest hundredth 20=270(.5)^(d/6)+4 

What is  24.46 ?

500

Write the trig function of this graph. 

What is  f(x)=-12 sin ((2pi)/3x)-3 ?

500

What are the roots of the equation 16x^2=56x-51  in simplest a+bi  form?

What is  7/4 +-sqrt(2)/4i ?

500

A person invests $8500 in a bank. The bank pays 4.25% interest compounded daily. To the nearest year, how long must the person leave the money in the bank until it reaches $12100?

What is 8 years?