Lowkey the Same Thing (Equivalence)
Solve Like Your Grade Depends On It (It Does)
Cancel Culture
(simplifying rationals)
Transformation Station
100

Which is NOT equivalent to the others?

4(x+2)

4x+8

2(2x+4)

8x+4

8x+4

100

x^2 + x - 61 = -5

x=7,-8

100

Simplify

(2x^2-10x)/(x^2-25)

(2x)/(x+5)

100

Write a possible equation for this function:

y=x^3-4

200

Which is NOT equivalent to the others?

(x^2-9)/(x-3) 


x+3, x!=3


((x-3)(x+3))/(x-3)


x+3

x+3

200

6/x=x+5

x=1, -6

200

Simplify

x^2/(4x+8)*(x^2-4)/(x^2+6x-16)

x^2/(4(x+8))

200

Write an equation for a circle with its center at (3,-4) and a radius of 6.

(x-3)^{2}+(y+4)^{2}=36

300

Multiply out

(2b-3)^2

4b^2-12b+9

300

Solve for m

m/3=(m+4)/5

m=6

300

Simplify and find all excluded values

(5x^3+35x^2)/(x^2+4x-21)

(5x^2)/(x-3)

x!=-7,3

300

Write an equation for a square root function that has been shifted to the left 3 units, up 6 units, and reflected across the x axis.

y=-sqrt(x+3)+6

400

Which expression is NOT equivalent to the others?

27x*x*y^3

(81x^6y^2)/(3x^4y^-1)

3^3x^2y^3

81/3(x^3y^3)

81/3(x^3y^3)

400

1/3x-1/2=5/6x+2

x=-5

400

Simplify and find all excluded values

(x^2-5x)/(2x^2-3x-35)-:(2x^2+11x+14)/(x^3+2x^2)

x^3/(2x+7)^2

x!=5,-7/2,-2,0

400

Write an equation for this graph


y=-(x+1)^2+2

left 1, up 2, concave down (negative a value)

500

Which expression is NOT equivalent to the others?

8x^4+36x^3

2x(6x^3+18x^3)

4x^3(2x+9)

2x^2(4x^2+18x)

2x(6x^3+18x^3)

500

4/(x^2-9)=1/(x-3)-2/(x+3)

x=5

500

(9x^3+36x^2-288x)/(6x^4-60x^3)*((x+1)(x-10))/(x^2+9x+8)

(3(x-4))/(2x^2)

500

Write a possible equation for this function:

y=1/(x-2)+5