# Questions on Algebra: Distributive, associative, commutative properties, FOIL answered by real tutors!

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 Algebra: Distributive, associative, commutative properties, FOIL Solvers Lessons Answers archive Quiz In Depth

 Question 27024: how would you write three equivalent expressions for (7+s)+t using the commutative and associative properties? Click here to see answer by longjonsilver(2297)
 Question 27024: how would you write three equivalent expressions for (7+s)+t using the commutative and associative properties? Click here to see answer by venugopalramana(3286)

 Question 27102: Show that the given set with indicated binary operation is a group. And determine if it is Abelian. Z2*Z with operation * defined by (a,s)*(b,t) = (a+bmod2,((-1)^b)s+t) Click here to see answer by kev82(148)

 Question 27146: Find the remainder 23^(300)%40 that is left when 23^(300) is divided by 40 Click here to see answer by kev82(148)

 Question 26757: How do i show the set of all integers of form 36j-90k+72n forms an ideal in integers(Z) and find the generator for the ideal. Click here to see answer by venugopalramana(3286)

 Question 27145: Find the rightmost digit of 7^(1111). How do i find the remainder when divided by 10 Click here to see answer by venugopalramana(3286)

 Question 27835: Let g and h be elements of a group G. show |(g)*(h)*(g(inverse))| = |h| Click here to see answer by venugopalramana(3286)

 Question 27144: How do i show the formula (a+b)^7 = a^7 + b^7 in clock 7 Click here to see answer by venugopalramana(3286)

 Question 27147: Formulate a conjecture for which natural number n the formula (a+b)^(n) = a^n + b^n holds in clock n. I don't have to prove the conjecture, just state it and suffices to consider clock n for n< and equal to 10 Click here to see answer by venugopalramana(3286)

 Question 28489: please help me solve this question: I know the answer is 3 but when i try it, it equals -2. this is what I have tried 4c - 7 = 2c - 1 4c + 2c - 7 - 1 6c - 8 = -2 please help me thank you Click here to see answer by Earlsdon(6287)

 Question 29225: Have tried many way to get answer no luck. 3n + 4 = 5(n+2)-2n Need "n" Thank you Click here to see answer by Earlsdon(6287)

 Question 29235: Prove that 8^n - 3^n is divisiible by 5 for all natural numbers n. Do i use Induction? Click here to see answer by sdmmadam@yahoo.com(530)

 Question 29354: Use the arithmetic sequence of numbers 2,4,6,8,10... to find the following: 1. 2. Using the formula for the Nth term of an arithmetic sequence, what is 101st term? 3. Using the formula for the sum of an arithmetic series, what is the sum of the first 20 terms? Click here to see answer by longjonsilver(2297)

 Question 29594: Determine whether the following is a group homomorphism. x: GLn(R) to GLn(R), x(A)=A^T T is the transpose Click here to see answer by khwang(438)

 Question 29593: Determine whether the following is group homomorphism. P: R^* to R^*, P(r): 5r Click here to see answer by khwang(438)

 Question 29922: Can you check my work. I was asked to simplify this equation. Thanks for your help. 5XY/X + 6Y^/Y - 5(X - Y) 5Y + 6Y - 5X + 5Y 11Y - 5X + 5Y 16Y - 5X Click here to see answer by sdmmadam@yahoo.com(530)

 Question 30320: What do I do here? 2xsquared+17x+21 Thank you Click here to see answer by Earlsdon(6287)

 Question 31163: Determine if the polynomial below is irreducible over Q(rationals) t^5 - 15t^4 + 18t^2 -12 Click here to see answer by venugopalramana(3286)

 Question 31560: when you have a problem like (x+5)/4=5 what do you do i dont under stand Click here to see answer by checkley71(8403)
 Question 31560: when you have a problem like (x+5)/4=5 what do you do i dont under stand Click here to see answer by InYourEyes(5)

 Question 31161: List all the polynomials of degree exactly two in Z3[t]. Which of these are reducible, which are irreducible note: Z stands for Integers Click here to see answer by venugopalramana(3286)

 Question 31159: Show that I= (2,t)= {g(t)*2 + h(t)*t : g(t),h(t) belongs Z[t]} is a non-principal ideal in Z[t]. note: Z stands for Intergers Click here to see answer by venugopalramana(3286)

 Question 31362: I= {h(t)*([4]t^4 + [2]t^3 + [6]t^2 + [4]t + [5]) + k(t)*([3]t^3 + [5]t^2 + [6]t):h(t), k(t) belong to Z7[t]} which is a subset of Z7[t]. a) how do i show that I is an ideal of Z7[t] b) find a polynomial d(t) belongs Z7[t] such that I=(d(t)), i.e. I is the principle ideal generated by d(t). Click here to see answer by venugopalramana(3286)

 Question 32249: name each property shown: D X 1 = ? 3+ (2+5) = (3+2) + 5 = ? F X G= Gx F = ? 32 + 45 + 102= 45+ 32+ 102 = ? Click here to see answer by Cintchr(481)

 Question 32532: Think of a number. Add 4. Multiply by 2. Subtract 6. Divide by 2. Subtract the number you started with. The answer is always one. How can I show why it must be true that for any number used in the first step always yield 1? or I need to find a number for which the HDP fails. I also need to know how to come up with my own, more complicated procedure that always gives the answer one. Can you help? Click here to see answer by Fermat(127)

 Question 32564: (5x -9)(5x - 7) I understand that I have to use the FOIL system but I am confused on how it works. Would the answer be 25xsquared - 45x - 63? Thank you for your help. Click here to see answer by mukhopadhyay(490)

 Question 32678: I am totally confused here! In the 9th century, Mahavira declared that n-0 equals n. Explain why this makes sense. Why might he not have considered 0-n. I understand how Mahavira was involved but I can not find any reference to his thoughts on this equation. Click here to see answer by benni1013(197)

 Question 32832: What is the "Distributive Law"? I'm a little slow when it comes to math. I can consintrate. Math dosen't catch my interest. Is there anything I could do to help me not fail algebra in high school? Click here to see answer by sarah_adam(201)

 Question 32850: PLEASE NEED YOUR HELP Which of the following functions are homomorphisms? a) f: Z (right arrow), Z defined by f(x)= -x b) f: Z2 (right arrow), defined by f(x)= -x c) g: Q (right arrow), defined by g(x) = (1/(x^2+1)) d) h: R (right arrow), M2x2(R), defined by h(a)= {(-a,a) , (0,0)} e) f: Z12 (right arrow) Z4, defined by f([x]12) = [x]4 Thank You Click here to see answer by khwang(438)

 Question 32844: (a) Prove that the set S of rational numbers (in lowest term) with odd denominators is a subring of Q. (b) Let I be the set of elements of S with even numerators. Prove that I is an ideal in S. (c) Show that S/I consists of exactly two elements. Thank You Click here to see answer by khwang(438)
 Question 32844: (a) Prove that the set S of rational numbers (in lowest term) with odd denominators is a subring of Q. (b) Let I be the set of elements of S with even numerators. Prove that I is an ideal in S. (c) Show that S/I consists of exactly two elements. Thank You Click here to see answer by venugopalramana(3286)

 Question 31644: Show that every polynomial of degree 1,2 or 4 in Z2[t] has a root in Z2[t](t^4+t=1) Click here to see answer by venugopalramana(3286)

 Question 34798: How would you write the equation A=1/2b^2-b in factored form? Click here to see answer by longjonsilver(2297)

 Question 34890: Trying to find the answer to: -6-(-7--15-(-12)) Cannot remember how to manipulate (-12) to work the problem. Click here to see answer by checkley71(8403)

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