Multiply & Divide
Add & Subtract
Rational Equations
End Behavior
Functions & Inequalities
100

Solve

(x2-4)/(x- 2x2- 4x + 8)

1/x-2

100

Solve 

(2x + 3)/x2 -4 - (x+1)/x2-4

1/x-2

100

Solve for x

(x-4)/4 = (x+4)/8

x = 12

100

Find the End Behavior Asymptote

x + 1/ x2 -2x +1

y = 0

100

Solve for x

6/x < 5/x-7

(- ∞, 0) ∪ (1, 6)

200

Solve 

2x2 +x -6/2x-7x + 6

x+2/x-2

200

Solve 

(5/x+4) + (20/2x2 + 8x) 

10 (x+2) /2x (x+4)

200

Solve for x

(x + 3)/x-1 = 4/x-1

No solutions (only extraneous)

200

Find the End Behavior Asymptote

4x + 1 / 2x-6

y = 2

200

Solve for x

3x2 -8x +4/x2 +3x - 10 ≤ 0

(-5, 2/3]
300

Solve and find restricted values

(5x2 + 11x +2) x 2x-6/5x2 -14x -3  

RV: x ≠ -2, 3, -1/5

300

Solve

(3x/2x2 + 2x) - (x+2/x- 2x- 3)

x (x-13) / 2x (x+1) (x-3) 

300

Solve for x

(x+2/x+3) + 1/ (x2 + 2x -3) = 1

x = 2

300

Solve for x

1 + (2/x +1) ≤  2/x

[-2, 1) ∪ (0, 1]

400

Solve

(5x- 10/x2 + x - 6) x (2x-7x -4/ 20x2 + 10x) ÷ 10-5x/ x2 -x-12

(x-4) (x-4) / 10 (2-x)

400

Solve 

(5x + 5/ 5x2 + 35x -40) + 7x/3x

(7x2 + 52x - 53x) / 3 (x+8) (x-1)

400

Solve for x

10/x+8 = 5/x-8

x = 24

400

Solve for x

x+2/x+3 < x-1/x-2

(-3, -1/2] ∪ (0, 1]

500

Solve and find restricted values

(6x2 -2x/ x2 +7x +12) ÷ (2x2 + 4x/x2 + 5x +6) x (x2 +3x -4)/(x2 -2x -3)

- (x-1)/x+1

RV: x ≠ +/- 3, -4, -2, 0, -1

500

Solve 

(2+ 3/x-2) / (2/x+2 - 1/x-2)

(2x -1) (x+2) / x-6

500

x + (6/x-3) = 2x/(x-3)

x = 2

500

Solve for x

5/x-2 + 3/2-x ≥ 1

(2, 4]

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