College Algebra

Complex Numbers

100

(-7+3i)+(9-5i)

What is 2-2i?

200

(4-10i)-(7-9i)

What is -3-i ?

300

(5-7i)(6+8i)

What is 86-2i ?

400

(4+3i)/(6-2i)

What is 9/20+13/20i?

500

i^15

What is -i?

Quadratic Formula

100

x^2+2x-9=0

What is x=-1+- (sqrt 10)?

200

x^2-6x=-34

What is x=3+-5i ?

300

Solve x²-x+3=0

What is x=1/2+- i (sqrt 11)/2 ?

400

Solutions to x²+4x+9=0

What is x= -2+-i (sqrt 5)?

500

Solutions for x² +3x +16 = 0

What is x= (-3 +- i Sqrt 55)/2

Factoring

100

Factors for x²+4x-5

What are (x+5) and (x-1) ?

200

Factors for 8x²-32

What are 8(x+2)(x-2) ?

300

Factors for x³-5x²-6x

What are x (x-6)(x+1)

400

Factor 6x³+13x²-5x

What are x (3x-1)(2x+5)?

500

Factors for 7x³+189.

What are 7(x+3)(x²-3x +9)?

Logarithms

100

logarithmic form of 3⁵=243

What is log base 3 of 243 is 5

200

Solution to ln x - ln 5 = 0

What is x=5

300

Solve log (x²+19) = 2

What is x=-9 and x=9 ?

400

Solve log (x) + log (x+6) = log (5) to the nearest ten thousandth

What is x = -5 and x=-1?

500

Solve log (x) + e^.5x = 6 to the nearest ten thousandth.

What is x=2.764

Inequalities

100

x²+3x-10>0

What is (-inf,-5)u(2,inf)?

200

2x²+x-21<=0

What is [-7/2,3]

300

Solutions for (x-4)/(x+6)>=0

What is (-inf,-6)u(4,inf)

400

Solutions to (2x-1)/(x+1)>4

What is (-5/2,-1)

500

Solutions to Abs(x+8) > 12

(-inf,-20) u (4,inf)