Exponent Rules and Radical Simplification
Simplify (5^2/3)^3
25
Is this a function?
No
Solve for x using elimination for the following system of equations
4x-2y=10
5x+2y=8
x=2
What is the quadratic formula?
x=(-b+/-sqrt(b^2-4ac))/ (2a)
Factor x^2 -x-6
(x-3)(x+2)
Simplify sqrt (12)
2 sqrt(3)
What parent function is this?
Quadratic
Solve for x using substitution
4x+2y=6
y=x+1
x=2/3
Simplify (4+/- sqrt(-64))/2
2+/-4i
What is i^4=?
1
Simplify (2x^2y^2)/(6x^5y)
y/3x^3
Graph y=|x|
V
Solve the inequality
-3(x+1)<6
x>-3
Given f(x)=x^2-6x+8. Find the vertex
(3,-1)
Given f(x)=|x|. f is transformed onto g by a shift to the right by 3 units and down 5 units. What is g(x)?
g(x)=|x-3|-5
Simplify (64x^8y^10)^1/2
8x^4y^5
What parent function is the inverse of the natural logarithmic function (y=lnx)?
Exponential (y=e^x)
Solve the inequaiity (x+1)^2<36
-7<x<5
What are the solutions to the equation x^2+4x+13=0
x=-2+/-3i
Solve (x+2)^2=25
x=-7,3
Simplify sqrt(5x^3y^4)
x^2y^2 sqrt(5x)
Given f(x)=(3x+1)/7. Find f^-1(x)
f^-1(x)=(7x-1)/3
Solve the system of equations
y=x^2+4x+3
y=-x-3
(-3,0) and (-2,-1)
The vertex of a parabola is at (2,-3) and the graph passes through the point (4,5). Write the equation of the parabola in vertex form.
y=2(x-2)^2-3
The graph of f(x)=x^2 is transformed onto g(x)=2(x+3)^2-4. What transformation maps f onto g?
Vertical stretch by a factor of 2, shift left 3 units, and shift down 4 units