Blast to the past: Algebra Jeopardy

Linear Equations

100

4x-7(2-x)=3x+2

x=2

200

2(w+3)-10=6(32-3w)

w= 196/20=49/5

300

4-2z/3= 3/4 - 5z/6 

z=-7/2 

400

3y+4 / y-1= 2+ (7/ y-1)

y= 1

500

(5x/ 3x-3) + (6/ x+2)= 5/3 

x= 8/23 

Complex Numbers

100

Add and express in the form of a complex number a + b i.
(2 + 3i) + (-4 + 5i) - (9 - 3i) / 3

=-5 + 9 i

200

Divide and express in the form of a complex number a + b i.
(-1 - 2i) / (- 4 + 3i)

=2 / 25 + (11 / 25) i

300

Find the complex conjugate to.
1 + 8 i

 =1 - 8 i

400

Express in the form of a complex number a + b i.
(-5 - i)(- 7 + 8i) / (2 - 4i)

=109 / 10 + (53 / 10) i

500

Find a and b, where a and b are real numbers so that
a + i b = (2 - i)2

 a = 3 , b = -4

Absolute Value

100

|4p−7|=3

p=1 and p=5/2 

200

|2−4x|=1

x=1/4 and x=3/4

300

|2x−3|=4−x

x=1 and x=7/3

400

∣x2+2x∣=15

x= -5 and x= 3

500

∣1/2z+4∣=|4z−6|

z= 4/9 and z=20/7 

Quadratic Equations

100

u²−5u−14=0

u= -2 and u= 7

200

x²+15x=−50

x=-5 and x=-10 

300

6w²−w=5

w=-5/6 and w= 1

400

z²−16z+61=2z−20

z=9 

500

(w²-10/ w+2) +w-4=w-3 

w=4 and w= -3