Equations and Inequalities
Functions
Parent Functions/ Transformation
Radicals
Quadratics
100
Solve
9(n-4)-7n=32-2(n+8)
What is: n=13
100
If
f(x)=x^2-3x+5
what is the value of f(-2)?
What is f(-2) = 15
100
Given the transformations write the correct equation and graph the parent function and its transformations.
Cubic ; right 1, down 2, vertically stretched by 2
What is:
f(x)=2(x-1)^3 -2
100
Simplify the expression:
-2sqrt27 -sqrt18 +3sqrt72
What is:
-6sqrt3 + 15sqrt2
100
Solve by Completing the Square:
2x^2-30=4x
What is {-3, 5}.
200
Solve the following
-23<5x+2<17
What is
-5<x<3
200
Given 
Find (h-g)(x)
What is:
x^3+2x-5
200
Identify the parent function and describe the transformation of the equation:
y=-1/2(x+2)^2 -3
What is
f(x)=x^2
a reflection across the x-axis, vertical compression, left 2, and down 3.
200
Simplify the expression:
root(3)(-3x^2) * root(3)(24x^5)
What is
-2x^2root(3)(9x)
200
Solve by choosing the best method:
1/4 x^2+11=38
6sqrt3, -6sqrt3
300
Solve, graph, and give the interval notation of the following inequality:
10|x-4|-3>47
What is
x>9 or x<-1
and 
and
(-oo,-1) uu (9,oo)
300
Given: 
Find
(f/h)(x)
and state it's Domain.
What is
(x^2 +3x-10)/(2x+1)
and the Domain:
x!=-1/2
300
Given the graph of the piecewise function. Identify f(-2) and give the domain and range.
What is: f(-2)=4 Domain: All Reals
Range:
[0, oo)
300
Solve the following:
(2x+1)^(1/3) = -3
What is: -14
300
Solve the following:
-x^2+16x-64=0
x={8}
400
{-5, -1, 3, 7, ...}
Write the rule for the sequence given below. Find the 24th term.
What is
4n-9
and
87
400
Given 
Find
(f@g)(x)
and state the Domain.
What is
x-3
Domain: All Reals
400
Graph the piecewise function and give the domain and range.
What is: Domain- All Reals Range
[-5,oo)
400
Simplify the following:
9/(2-3i)
What is:
(18+27i)/13
400
Solve the quadratic equation using the best method:
7x^2=-6x-2
What is
(-3+isqrt5)/7
(-3-isqrt5)/7
500
The length of a rectangle is 5 less than twice its width. If the perimeter of the rectangle is 56 inches, find its dimensions.
What is the width=11 inches and the length=17 inches
500
Given
Find
(f@h)(x)
What is:
4x^2+10x-6
500
Identify the inverse of the following equation and graph both:
f(x)=(x+5)/2
What is: 
500
Simplify the following:
(6sqrt(20x^15 y^3))/(sqrt(18x^5)
What is:
2x^5ysqrt(10y)
500
a. Find the value of the discriminant b. Describe the number and type of roots c. Find the exact solution by factoring.
12x^2 + 2x-4=0
a. 196 b. 2 rational roots c. 1/2, -2/3