Algebra 2 Quiz Review: Rational Expressions and Equations

Multiplying Expressions

100

(5x-20)/(5x+15) * (2x+6)/(x-4)

2

200

(12-x)/3* 3/(x-12)

-1

300

(x^2+5x+6)/(2(x-1))*(x^2-1)/(x+3)

((x+2)(x+1))/2 or (x^2+3x+2)/2

400

(3x+1)/(x^2-4x-12)*(x+2)/(3x^2+4x+1)

1/((x-6)(x+1)) or 1/(x^2-5x-6)

500

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

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

Dividing Expressions

100

(48x^2)/y-:(36xy^2)/5

(20x)/(3y^3)

200

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

x/(3(x-1)) or x/(3x-3)

300

(x^2-13x+40)/(x^2-2x-15)-:(x^2-5x-24)

1/(x+3)^2 or 1/(x^2+6x+9)

400

(x^2-7x+10)/(x-2)-:(x+10)/(x^2-x-20)

((x-5)^2(x-4))/(x+10)

500

[2/(4x+12)]/[((4)/(2x+6))+ ((1)/(x+3))]

1/6

Adding Expressions

100

1/2 + 3/x^2

(x^2+6)/(2x^2)

200

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

(x^2+4x)/((x+1)(x-1))

300

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

(4x+9)/(2x(x+3))

400

3/(x+5)+4/(x+1)

(7x+23)/((x+5)(x+1)

500

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

(x^2+9x-12)/(3x^2)

Subtracting Expressions

100

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

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

200

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

(x^2-4x-18)/((x+2)(x+3))

300

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

(-5x)/(x+5)

400

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

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

500

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

(x-6)/(x+3)

Solving Equations

100

7/(x+3)=x/4

x=4 and x=-7

200

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

x = 6

300

-[(2)/(x-1)]=[(x-8)/(x+1)]

x = 2, 5

400

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

x = -1/3

500

(4)/(x) - (1)/(x+2) = (2)/(x)

x = -4