Alg 1B: Ch 6 Review

Simplifying Fractions

100

((m-7)(m+3))/(6(m+3)

(m-7)/6

200

(4(p+7))/(p+7)^2

4/(p+7)

300

(x^2+5x+4)/(4x+16)

(x+1)/4

400

(5-1/a)/(a+b)

(b-a)/3

500

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

(x+3)(x-2)

Multiplying Fractions

100

(5m)/(6m^2) * 3/(4m)

5/(8m^2)

200

(3x)/(x-2) * x/3

x^2/(x-2)

300

(2y)/(y-3) * y/6

y^2/(3(y-3))

400

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

1/(x^4(x+2)

500

(x^2-4x-5)/(x^2-x-6) * (x^2-5x+6)/(x^2-6x+5)

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

Dividing Fractions

100

(7p)/2 div 1/(3p)

(21p^2)/2

200

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

(10x)/(y-3)

300

(3y^2)/(x+1) div y/2

(6y)/(x+1)

400

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

(3y(x-4))/4

500

(8x)/(3(y+1)) div (2(y-1))/(6x)

(8x^2)/(y^2-1)

Least Common Denominators

100

What is the LCD?

6/7,4/3,5/9

63

200

What is the LCD? 

1/4,2/3,1/6,3/8,5/12

24

300

What is the LCD?

(x^2-x-6)/(x+3) + (x^2-6x+9)/(x+2)

(x+3)(x+2)

400

What is the LCD?

(x^2-2x-3)/(x^2-5x+6) and (x^2-x-12)/(x^2-5x+6)

x^2-5x+6

500

What is the LCD?

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

18x^2+36x

Adding and Subtracting Fractions

100

x/y + y/x

(x^2+y^2)/(xy)

200

(3x)/(x+5) - 6

(-3x - 30)/(x+5)

300

6/(7x)-6/(11x)

24/(77x)

400

3/(3x)+9/(3y) 

(3y + 9x)/(3xy)

500

x/(x−4)+6/x

(x^2+6x-24) / x(x-4)