1). Find all numbers for which the rational expression is undefined.
The number for which the rational expression is undefined is_0_?
2). Find all numbers for which the rational expression is undefined. n^3-8n/n^2-36
The number(s) for which the rational expression is undefined are__-6, 6_______? (Use a
comma to separate answers as needed.)
3). Simplify by removing factors of 1. 2500w^7y^6/80w^2y^3.
The simplified form is___ 125w^5y^3/4 __________?
4). Simplify by removing factors of 1. r^2-25/r^2-10r+25.
The simplified form is__ (r+5)/(r-5) ____________?
5). Simplify by removing factors of 1. 6x^2-54/4x^2-36.
The simplified form is______ 3/2 _________?
6). Multiply and simplify. 10x^5/11v^2 × 121v^4/100x.
The simplified product is____ 11x^4v^2/10 _________?
7). Multiply and simplify. w^2-w-72/w^2-16w+64 × w-8/w-9.
The answer is____
(w+8)/(w-8)
________? (Simplify your answer.)
8). Divide and simplify. a/g^2 ÷ a^2/g^3.
The answer is____ g/a _________?
9). Divide and simplify. y^2-49/y ÷ y-7/y+8.
The answer is_____ (y+7)(y+8)/y ____________? (Type a fraction; leave your answer in
factored form.)
10). Divide and simplify. x^2-1/49x+49 ÷ x-1/7.
The answer is_____ (x+1)/(7x+7) ___________? (Type a fraction.)
11). Divide and simplify. x^2+3x/x^2+2x-3 ÷ x/x+1.
The answer is_____ (x+1)/(x-1) __________? (Type a fraction.)
12). Find the LCM of 6y^5 and 18y^8.
The LCM is______18y^8________________?
13). Find the LCM of x^2-49 and x^2+12x+35.
The LCM is________(x^2-49)(x+5)__________?
14). Find the LCM. s^3+4s^2+4s, s^2-4s. The LCM is s (s+2)^2(s-4).
15). Find the LCM of 6y^2+24y and 3y^2+27y+60.
The LCM is___ 6y(y+4)(y+5) ___________?
16). Add. 3/5+w + 5/5+w.
The answer is____ 8/(5+w) _________? (Simplify your answer.)
17). Add. Simplify, if possible. x^2+17x/x^2-7x + x^2-8x/x^2-7x.
The answer is_____ (2x+9)/(x-7) ____________________?
18). Add. Simplify, if possible. 3/25z^3 + 1/15z^2
The answer is_____ (9+5z)/75z^3 ______________?
19). Add. 5/x-1 + 5/x+1.
The answer is____ 10x/(x^2-1) ___________? (Simplify your answer.)
20). Add. Simplify if possible. 7x/x^2-9 + x/x-3.
The answer is________ (x^2+10x)/(x^2-9) _______? (Simplify your answer.)
21). Subtract. Simplify, if possible. W-5/w – (9w-7)/11w.
The answer is______ (2w-48)/11w _______? (Simplify if possible; use integers or fractions for
any numbers in the expression.)
22). Subtract. Simplify if possible. 9/5x^2-5x – 5/5x-5.
The answer is______ (9-5x)/(5x^2-5x) __________? (Simplify your answer; use integers or
fractions for any numbers in the expression.)
23). Subtract. Simplify by removing a factor of 1 when possible. 4fd/f^2-d^2 – f-d/f+d.
The answer is_____
(-f^2-d^2+6df)/(f^2-d^2) __________?
24). Subtract; simplify if possible. 6-z/z-4 – 5z-7/4-z.
The answer is____(4z-1)/(z-4) ________? (Simplify your answer.)
25). Perform the indicted operations and simplify. z-3/z-9 – z+1/z+9 + z-117/z^2-81.
The answer is___
15/(z+9) ______?