simplifying rational
Multiplying and Dividing
Addition and Subtraction
Equations
Mystery...
100

Simplify: (2a2 +10a) / (3a2 + 15a)

What is 2/3 

100

Simplify:

(7x / (2x - 10)) divided by  (x- 6x) / (x- 11x + 30)

What is 7/2 

100

Simplify:

((5x / (x + 3)) + (15 / (x + 3))

What is 5 

100

Solve:

(4 / x) + x = 5

x = 1 and 4

100

Find the excluded values for the expression:

(3x3-3x2-18x) / (6x3-36x2+54x)

What is x=0,3

200

Simplify:

(x2+x−6) / (x2 +8x+15)

What is  (x-2) / (x+5) 

200

Simplify:

((6x+ x - 15) / 4x2 )divided by (3x+ 5x)

What is (2x-3) / 4x3

 

200

Simplify:

(x/ (x + 5)) + ((7x + 10) / (x + 5))

What is x + 2

200

Solve.

(2 / 3x) + (1 / 6) = (4 / 3x)

x = 1/4

200

Find the domain for the expression:

(x3-3x2) / (2x2-6x)

What is all real numbers such that x is not equal to 0,3

300

Simplify:

((4x+20) / x2 ) *  ((x2+x) / (2x+10))

What is 2(x+1) / x

300

Simplify:

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

What is x2-9 

300

Simplify:

((x + 6) / (x2 - x - 20)) + ((2x - 21) / (x2 - x - 20))

What is 3 / (x + 4)

300

Solve.

(x - 3) / (x + 5) = x / (x + 2)

x = -1

300

Factor:  3x2 - 5x - 2

What is  (2x + 3) (3x + 1)
400

Simplify:

(3x- 13x - 30) / (18x- 50)

What is (x-6) / 2(3x-5) 

400

Simplify:

((3x+ 13x + 4) / (4x- 16)) divided by ((8x + 32) / (4x + 8))

What is (3x + 1) / (8x - 16) 

400

((4x - 7) / (x2 - 25)) - ((3x - 2) / (x2 - 25))

What is 1 / (x + 5)
400

Solve.

((x - 1) / x) + ((2x - 1)  /(x + 3))  = (x + 6) / (x + 3)

x = -1/2 and 3

400

Find the value of the discriminant:

 9x- 8x =-3

What is -44

500

Simplify:

(8x- 46x + 45) / (4x- 17x + 5)

What is (2x-9) / (x-3) 

500

Simplify:

((4x+ 20x) / (x+ 4x2)) TIMES ((x+ 8x + 16) / (8x+ 36x - 20))

What is (x+4)  / (2x2-x) 

500

Simplify:

((6y - 6) / (y2 + 4y - 12)) - ((y +4) / (y2 + 4y - 12))

What is 5 / (y + 6)

500

Solve.

3x / (x + 1) = (12 / (x- 1)) + 2

x = -2 and 5

500

Find the vertex of the quadratic function:

f(x)=  5x2 +10x- 4

What is (-1,-9)

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