Imaginary Numbers
Functions
Solving
Matrices
Misc
100
i^11
What is -i
100
Find the value of f(-10) and g(-1) if f(x)=-4x-7 and g(x)=5x^4-23x.
What is f(-10)=33 and g(-1)=28
100
Solve by factoring: x^2+3x-28=0.
What is {-7,4}
100
Write a matrix equation for the given system of equations: 2x-5y=25 2x+4y=-11
What is [2 -5][x]=[ 25] [2 4][y] [-11]
100
Factor: 30d^7+18d^6+24d^8
What is 6d^6(5d+3+4d^2)
200
(-3)(-4i)(5i)
What is -60
200
Find (f-g)(x) for the following functions: f(x)=-5x^3+23x^2-7 and g(x)=x^2+17.
What is -5x^3+22x^2-24
200
Solve by factoring: 2x^2+3x-14=0.
What is {-7/2,2}
200
Find the value of the determinant: [ 5 8] [-2 6]
What is 46
200
List the transformations of y=2|x|-4
What is down 4, stretch by 2
300
(3+9i)+(5-20i)
What is 8-11i
300
Find (f∙g)(x) for the following functions: f(x)=3x^2-9x-10 and g(x)=12x-10
What is 36x^3-138x^2-30x+100
300
Solve using the Quadratic Formula: -x^2+5x+9=0
What is (-5±√61)/(-2)
300
Find the product, if possible: [ 4 8] [2 8] [-2 5] [2 -1]
What is [24 24] [6 -21]
300
Express √250 in simplest form.
What is 5√10
400
(-9+13i)(-11-2i)
What is 125-125i
400
Find the inverse of f(x)=(4x-9)/18
What is (18x+9)/4
400
Solve by elimination: 6p+2q=12 4p-4q=24
What is (-3,3)
400
Determine whether the given matrices are inverses: A=[-2 -2] B=[ 1 -1] [ 2 -2] [-1 2]
What is No
400
Find the value of the discriminant. Then describe the number and type of roots for the equation x^2+x+7=0.
What is -27; two roots (complex)
500
2/(10+7i)
What is (20-14i)/149
500
Find [g◦h](x) and [h◦g](x). g(x)=4x and h(x)=-2x-12
What is [g◦h](x)=-8x-48 and [h◦g](x)=-8x-12
500
Solve the system of equations: 6a+2c=6 -2a=36 b+8c=24
What is a=-18, b=-432, c=57
500
Solve by using inverse matrices: [ 5 -5][x]=[-35] [-3 3][y] [ 21]
What is (-1,6)
500
Factor the polynomial 100v^2-324.
What is 4(5v+9)(5v-9)
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