Complex Numbers
(5+3i)-(2+7i)
3-4i
Find f(2) for
f(x)= 3x2-4x+5
9
Find the x-intercept for y=4x-9
9/4 or 2.25
Find x-coordinate of the vertex: f(x)=x2-24x+8
12
Simplify: (12x3y8z)/(6x5y2z)
2x-2y6 or 2y6/x2
(2+3i)(7-2i)
20+17i
Is this relation a function? {(1,3), (-2,8), (1,-3)}
Not a function
Find the slope: (-2,4) (2,0)
-1
Factor (4x2-16)
4(x-2)(x+2)
Are the roots rational, irrational or complex?
y=x2+5x+7
complex
What is the conjugate of
3-2i?
3+2i
Find (f+g)(2) for
f(x)=3x and g(x)=x-3
5
Write the equation of a line with m=3 through (1,1) in slope intercept form
y=3x-2
Solve x2-2x-8=0
{-2,4}
Describe the transformation from the parent function.
y=|x+2|-7
2 left, 7 down
If the root if a polynomial is i, what is the factor?
(x-i)
Find (f/g)(x) for
f(x)=2x and g(x)=4x-8
x/(2x-4)
Solve for x: Ax+By=C
x=(C-By)/A
Find the discriminant: y=3x2+2x-1
16
Does (4,2) lie in the solution set for
y< x2+2x-3
yes
Simplify: (2+i)/(1-i)
0.5+1.5i
Find f(g(3)) for
f(x)=5x and g(x)=x-7
-20
Find the solution for 2x+y=7 and x-2y=1
(3,1)
Find the max or min:
f(x)= x2-4x+9
Min is 5 or (2,5)
Solve:
13-7x > 2x+4
x<1