Variable Solving
Radicals and i
Walking in Circles
Pursuing polynomials
"Funny" Functions
100

Solve for U

-5(U - 4) +2 = 11 - (U-3)

U = 2
100

Traditionally, this letter is used to represent √-1

What is i?

100

These two variables are used in the circle formula to represent the coordinates for the midpoint of a circle.

What is (h,k)?

100

What is the leading term of this polynomial? 

47x3 + 83x-5 - 93x + 74x2 - 33x9 + 1/2x8 + 17

- 33x9 

100

Determine if the function is even, odd, or neither

f(x) = x5 - x4

Neither

200

Solve for U 

Q = c/4(h + U)

U = 4Q/c - h

200

Solve

√(4x+5) = 9

19

200

This is the standard form of the equation used to graph a circle on an x,y coordinate plane

What is (x-h)2 + (y-k)2 = r2?
200

Solve using any method 

x2 + 2x - 120 = 0

x = -12, 10

(x + 12)(x - 10)

200

Find the inverse of the function 

f(x) = 3x - 7

f-1(x) = x + 7/3

300

Solve for X

x-2/2 + x/2x+4/3 + 1

u = 80/7

300

Simplify the expression and write in a+bi form 

(√-25)*(√-81)

-45 

300

Given the midpoint of (7, 3) and the radius of 5, what is the circle's equation?

(x-7)2 + (y-3)2 = 25

300

Use any method to divide the following: 

(x3 + 4x2 + 3x - 5)/(x+3)

x+ x - 5/x+3

300

Graph the function f(x) = √x. Then, use transformations to graph g(x) = -√(x+2) - 1

Transformation order : shift to the left by 2 units, flip across the x axis, move down by 1 unit

400

Solve for X 

2/x-5 - 1/x+5 = 11/x2-25

x = -4
400

perform the indicated operation  

(6+5i)(-9+9i)

-99 + 9i

400

Given the two points (-5, 7) and (-3, 2), with (-5,7) being a midpoint and (-3,2) being a point on the edge of the circle, determine the circle formula.

(x + 5)2 + (y - 7)2 = 29

400

use the quadratic formula to solve: 

3x2 - 13 = 0

±√39/3

400

Find the quadratic function that passes through the vertex (-3,1) and passes through the point (0, -17) 

f(x) = -2(x+3)2 + 1

500

Solve for X

7/x+3 + 9/x-7 = 11/x2-4x-21

X = 33/16

500

perform the indicated operation  

-8+3i/5+7i

-19/74 + 71/74i

500

Complete the square and write the equation in circle standard form. 

x2 + 18x + y2 - 8y = -16

(x + 9)2 + (y - 4)2 = 9

500

Write a polynomial f(x) that is of degree 3 with zeros -2, 3i, -3i and leading coefficient of 1. expand the product

f(x) = x3 + 2x2 + 9x + 18
500

For f(x) = 8x + 4, find f(x+h) - f(x)/h

8