Systems of Quadratic and Linear Equations
Square Root Functions
Inverses
Polynomials/Rational Exponents
Rational Functions
100
How many solutions to the following system:
2 Solutions
100
List the transformations:
sqrt(x+8)-3
Left 8, Down 3
100
The inverse to the following function:
(x+5)^2-1
sqrt(x+1)-5
100
Simplify:
(3x^4+4x^2-9)+(2x^4-3x^3+5)
5x^4-3x^3+4x^2-4
100
Add:
(3x-1)/(x+2)+(2x+6)/(x+2)
(5x+5)/(x+2)
200
The solution to the following system:
(-1,0)
200
Convert into function notation:
sqrt(1/2(x+3))+2
f(1/2(x+3))+2
200
The inverse for the following function:
7sqrt(1/2x)+1
2[1/7(x-1)]^2
200
Simplify:
(x-2)^3
x^3-6x^2+12x-8
200
Describe the transformations:
3/(x+2)+9
Vertical Stretch by 3, Left 2, Up 9
300
The regression formula used is:
Linear
y1~mx1+b
300
The transformation(s) for the following square root function:
Left 2, Up 1
300
Are the two functions inverses of each other?
{(f(x)=2(x-1)^2+3), (g(x)=sqrt(1/2(x+3))-1):}
No
300
Use any division method to find the quotient:
(x^3+27)-:(x+3)
x^2-3x+9
300
Solve:
(x^2+7x+12)/(x+3)=3
x= -1
400
The equation for the following regression:
x^2+3x-5
400
Sketch the graph for the following square root function:
sqrt(x-5)-2
400
The inverse domain and range of the following:
D:
[-1,oo)
R:
[-2,oo)
D:
[-2,oo)
R:
[-1,oo)
400
Is
(x+2)
a factor of
x^3+5x+6?
No
400
The amount of houses bought is inversely proportional to the squared amount of students currently enrolled in college. If 4 (million) houses were sold when 5 (million) students were enrolled at UH in 2017, find the amount of houses sold when 3 (million) students were enrolled in 2019.
~11 million houses
500
The solution(s) to the following system:
x=-1 and 1
500
Solve the following square root function:
sqrt(5x+1)-2=2
x=3
500
Are the two functions inverses of each other?
{(f(x)=x/6-3),(g(x)=6(x+3)):}
Yes
500
Solve:
(3x+13)^(1/2)=x+5
x= -4 and x= -3
500
Find the Asymptotes, x-intercept, and y-intercept:
y=2/(x-3)+4
HA: 3, VA: 4, x-int: (5/2) or 2(1/2), y-int: (10/3) or 3(1/3)