Linear Equations
Complex Numbers
Quadratic Equations
Inequalities
Potpourri
100

This is the solution to  5/6x-2x+4/3=5/3 

What is 

{-2/7}

100

This is the resulting product: 

sqrt(-5) * sqrt(-15)

What is 

-5sqrt3

100

This is the solution to  10x^2+x-2=0 

What is 

{-1/2,2/5}

100

This is the solution to:  3-4xge2x+8 

What is 

(-oo,-5/6]

100

This is the simplified form of  i^22 

What is 

-1

200

This is the solution to: 0.5x+4/3x=x+10 

What is 

{12}

200

This is the resulting quotient:  (sqrt(-54))/sqrt(27) 

What is 

isqrt2

200

This is the solution to  27-x^2=0 

What is 

{+-3sqrt3}

200

This is the solution to  x^2-2x-15le0 

What is 

[-3,5]

200

This is the solution to:  x-sqrt(4x+12)=0 

What is 

6

300

This is the solution and whether the equation is Conditional, a Contradiction, or an Identity. 1/2(6x+20)=x+4+2(x+3) 

What is 

Identity

300

This is the sum:  (-2+4i)-(-4+4i) 

What is 

2

300

This is the solution by completing the square: 2x^2-4x-3=0 

What is 

{(2+-sqrt10)/2}

300

This is the solution to  6/(x-3)ge4 

What is 

(3,9/2]

300

The perimeter of a triangular plot of land is 2400 ft.  The longest side is 200 ft. less than twice the shortest.  The middle side is 200 ft. less than the longest side.  Find the length of the three sides of the triangular plot.

What is 600 ft., 800 ft., 1000 ft.

400

This is the solution for g in this equation: s=1/2\g\t^2 

What is 

g=(2s)/t^2

400

This is the quotient:  (-3+4i)/(2-i) 

What is 

-2+i

400

By using the discriminant, the numbers and types of solutions can be found. 4x^2=-6x+3 

What is (84) -> two real solutions

400

This is the solution to  10/(3+2x)le5 

What is 

(-oo,-3/2)uu[-1/2,oo)

400

This is how many liters of a 25% antifreeze solution should be added to 5 L of a 10% solution to obtain a 15% solution?

What is 2.5L

500

This is the solution for x in the following: a^2x+3x=2a^2 

What is 

x=(2a^2)/(a^2+3)

500

The is the simplified form of  1/i^-11 

What is 

-i

500

The following equation can be solved for y: 2my^2-ny=3p 

What is 

y=(n+-sqrt(n^2+24mp))/(4m)

500

This is the solution to  (2x-3)/(x^2+1)ge0 

What is 

[3/2,oo)

500

Maria and Eduardo are traveling to a business conference.  The trip takes 2 hrs. for Maria and 2.5 hrs. for Eduardo, since he lives 40 mi. farther away.  Eduardo travels 5 mph faster than Maria.  This is their average rates.

What is Maria: 55 mph, Eduardo: 60 mph

M
e
n
u