Simplifying
Simplify the rational expression.
(2r-4)/(r-2)
2
State the domain.
1/(x-5)
All real numbers except x = 5.
Multiply.
(9(r+4))/(r+4)*(9r)/(9(r-5))
(9r)/(r-5)
Divide.
(4n)/(n-6)÷(4n)/(8n-48)
8
What percentage of 300 is 75?
A) 25% B) 50%
C) 75% D) 225%
A) 25%
Simplify the rational expression.
(3a-15)/24
(a-5)/8
State the domain.
(x-9)/(x+4)
All real numbers except x = -4.
Multiply.
1/(v+10)*(10v+30)/(v+3)
10/(v+10)
Divide.
1/(2a)÷(8a)/(2a^2+16a)
(a+8)/(8a)
Which expression is equivalent to 12x^3-5x^3 ?
A) 7x^6 B) 17x^3
C) 7x^3 D) 17x^6
C) 7x^3
Simplify the rational expression.
(x-4)/(3x^2-12x)
1/(3x)
State the domain.
45/(10x-10)
All real numbers except x = 1.
Multiply.
1/(p-9)*(p^2+6p-27)/(p+9)
(p-3)/(p-9)
Divide.
(a-4)/(a^2-2a-8)÷1/(a-5)
(a-5)/(a+2)
If x/8=5 , what is the value of 8/x ?
1/5
Simplify the rational expression.
(x+6)/(x^2+5x-6)
1/(x-1)
State the domain.
(x-2)/(x^2+2x-8)
All real numbers except x = -4 and x = 2.
Multiply.
(x+7)/(7x+35)*(x^2-3x-40)/(x-8)
(x+7)/7
Divide.
(x^2+10x+16)/(x^2+6x+8)÷1/(x+4)
x+8
Line t in the xy-plane has a slope of -1/3 and passes through the point (9, 10). Which equation defines line t?
A) y=13x-1/3 B) y=9x+10
C) y=-x/3+10 D) y=-x/3+13
D) y=-x/3+13
Simplify the rational expression.
(x^2+8x+12)/(x^2+3x-18)
(x+2)/(x-3)
State the domain.
(x^2+3x-28)/(x^2-49)
All real numbers except x = -7 and x = 7.
Multiply.
(8v-56)/(8v+48)*(v^2+9v+18)/(8v^2+24v)
(v-7)/(8v)
Divide.
(b^2-2b-15)/(8b+20)÷2/(4b+10)
((b+3)(b-5))/4
For a certain rectangular region, the ratio of its length to width is 35 to 10. If the width of the rectangular region increases by 7 units, how must the length change to maintain this ratio?
A) It must decrease by 24.5 units.
B) It must increase by 24.5 units.
C) It must decrease by 7 units.
D) It must increase by 7 units.
B) It must increase by 24.5 units.