Chapter 8 Quiz 2 Review

Multiplying

100

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

 Multiply. State any restrictions on variables.

x, y!=0 

2xy^2

200

Multiply. State any restrictions on variables.

(x-5)/(7x+7)*7/(x^3-5x^2)

x!=0, 5, -1 

1/((x+1)x^2

300

Multiply. State any restrictions on variables.

(x^2+4x+4)/(6x^2)*(3x)/(x^2-4)

x!=0, -2, 2 

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

400

Multiply. State any restrictions on variables.

(x^2-6x+9)/(x-3)*(x^2+3a-18)/(x^2-6x+9)

x!=3 

x+6

500

Multiply. State any restrictions on variables.

(y^2-10y+9)/(y^2-1)*(y+4)/(y^2-5y-36)

y!=-1, 1, 9, -4 

1/(y+1)

Dividing

100

What extra step is needed when dividing rationals when compared to multiplying?

Keep Change Flip

200

Divide. State any restrictions on variables.

(7x^3)/z-:(5x^2)/(3z^3)

x!=0, z!=0 

(21xz^2)/5

300

(x^2-9)/(x+4)-:(x-3)/(x+4)

x!=-4, 3 

x+3

400

Divide. State any restrictions on variables.

(x^2-16)/(x^2-10x+25)-:(3x-12)/(x^2-3x-10)

x!=5, -2 

((x+4)(x+2))/(3(x-5))

500

Divide. State any restrictions on variables.

(y^2-36)/(y^2-8y+16)-:(3y-18)/(y^2-y-12)

y!=4, -3 

((y+6)(y+3))/(3(y-4))

Adding

100

What is needed to add fractions?

A common denominator

200

7/x+3/y

Add. State any restrictions on variables.

x, y !=0 

(3x+7y)/(xy)

300

Add. State any restrictions on variables.

6/(x-2)+(3)/(x+4)

x!=2, -4 

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

400

Add. State any restrictions on variables.

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

x!= 2, -2, -1 (x^2+5x-8)/((x+2)(x-2)(x+1))

500

Add. State any restrictions on variables.

3/(x^2-5x+6)+ -3/(x^2-9)

x!=2, 3, -3 

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

Subtracting

100

What is always the first step?

Factor

200

Subtract. State any restrictions on variables.

(5x-3)/(4x)-1/(6x)

x!=0 (15x-11)/(12x)

300

Subtract. State any restrictions on variables.

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

x!=-5, 3

(x^2-5x-10)/((x-3)(x+5)

400

Subtract. State any restrictions on variables.

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

x!=0, 5 

((5-x)(5+x))/(5x(x-5)) or -(x+5)/(5x)

500

Subtract. State any restrictions on variables.

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

x!=1, -1, -3 

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

Simplifiying

100

Simplify and state any restrictions on variables

(27x^4y)/(9x^3y)

x != 0, y!=0 

3x

200

Simplify and state any restrictions on variables

(3x-6)/(x^2-6x+8)

x!=4, 2 

3/(x-4)

300

Simplify and state any restrictions on variables

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

x!=2,3 

(x+1)/(x-3)

400

Simplify and state any restrictions on variables

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

x!=-2, 3 

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

500

Simplify and state any restrictions on variables

(x^2+13x+40)/(x^2-2x-35)

x!=-5, 7 

(x+8)/(x-7)