Review of Rational Expressions and Equations

Rational Expressions

100

Simplify: (18m⁶ p²)/(10m⁴ p)

What is (9m²p)/5

200

Find the Domain: a²-16/a²-3a-28

What is x cannot equal -4 or 7

300

Simplify: 

(x^2+7x+10)/(x^2-3x-10)

What is (x+5)/(x-5)

400

Simplify: 

(x^2-25)/(x+5)

What is x-5

Mult and Divide Rational Expressions

100

Divide 10a⁴b²/6ac⁵

What is 5a^3b2/3c⁵

200

Multiply: x²-6x+9/2x²-18 x 4x+12/5x-15

What is 2/5

300

Divide: x²-10x+25/x²-x-20

What is (x-5)/(x+4)

400

Divide (z-3)/(z²-9)

What is 1/(z+3)

Add and Sub Rational Expressions

100

Find the LCD of (x-4)/x²+4x-5 and (x-6)/x²+2x-15

What is (x+5)(x-1)(x-3)

200

What is common denominator: 4/(y-3) - 12/(y+3)

What is (y+3)(y-3)

300

Subtract: 

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

What is 

-(x+2)/(2x

400

Subtract:  

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

What is 

(2x+7)/((x+1)(x+2))

Rational Equations

100

Solve for m: 4/(m-4) = -5/(m+2)

What is 4/3

200

Solve for n: 2/(n+3) = 1/(n-3)

What is 9

300

What is the common denominator: 1/a + 1/b = 1/c

What is abc

400

Solve for a: 2/(a+3) - 4/(a²-4) = (a+1)/a²+5a+6

What is 6