Quotients + Solving Equations

Quotients

100

64%[(-4)%(-2)]

32

200

(3²-5²)/(3+(-5))

8

300

(24-6t²)/2

12-3t²

400

(36c²-24c-6)/6

6c²-4c-1

500

(9x²+27)/-3

-3x²-9

Equations

100

5(2x-9)=7x-60

x=-5

200

2x-5=2(x-1)

0x=3 -> No solution

300

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

0x=0 -> Infinitely many solutions

400

[6x-2(x-4)]/6=8

x=4

500

x-2=x+4

0x=6 -> No solution

Fun

100

What is the name of the artist known for hit songs like "Shake It Off" and "Blank Space"?

Taylor Swift

200

Who is the famous cartoon dog who solves mysteries with his human friends in a green van?

Scooby-Doo

300

What is a pizza topping that divides people: some love it, and some hate it?

Pineapple 

400

What is the only fruit that has seeds on the outside?

Strawberry

500

What is the animal that can sleep while standing up?

A horse

Solve for a Certain Variable

100

y=mx+b for x

x=(y-b)/m

200

c=2pr for r

r=c/2p

300

ax+by=c for y

y=(c-ax)/b

400

p=2L+2w for w 

w=(p-2L)/2

500

p=2(L+w) for L

L=(p-2w)/2

Check Solution

100

x(x-3)(x+2)=0 , x=-2

-2 is a solution

200

z³-4z²+z+6=0 , z=3

3 is a solution

300

x(x+1)(x-2)=0 , x=4

4 is not a solution

400

x³-7x-6=0 , x=1

1 is not a solution

500

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Extra points for everyone