Please help me with my math HW and tell me if this are correct.?

Question

1.) xy + 7 = 7 + xy.....................................Y

2.) xy + 7 = yx + 7......................................T

3.) 7 (x + y) = 7x + 7y..................................E

4.) -4 + 4 = 0..........................................

5.) 1/9(9) = 1..........................................

6.) u + (u + 20) = (u + u) + 20........................S

7.) 5(8n) = (5.8)n.....................................

8.) If a and b are rational numbers,

then a + b is a rational number...................T

9.) w + 0 = w..........................................

10.) w.1 = w..........................................

11.) x (x - y) =x2 - xy.................................E

12.) x (x . y) = x2 . xy................................E

13.) 15 + (k + 4) = 15 + (4 + k)........................Y

14.) 15 + (4 + k) = (15 +4) + k.........................S

15.) 15 - (4 - k)= (15 - 4) - k.............................T

16.) If a and b are rational numbers,

then ab is a rational number.....................T

17.) [-6 . (-1/6)]n = 1 . n...................................A

18.) 8a + ab = a(8 + b)....................................E

19.) w(16w) = w (w . 16)..................................T

20.) w (w . 16) = w2 . 16..................................E

21.) 3x + [10 + (-10)] = 3x + 0..........................T

22.) 2/5 . 5/2 x3 = 1. x3...................................T

23.) 1 . x3 = x3.........................................

24.) 3 (m divided by 12) = 3 (12 divided by m).....T

CLOSURE PROPERTIES: (I) closure property of addition

(L) closure property of multiplication

COMMUTATIVE PROPERTIES: (Y) commutative property of addition

(H) commutative property of multiplic..

ASSOCIATIVE PROPERTIES: (S) associative property of addition

(W) associative property of multiplic...

IDENTITY PROPERTIES: (N) identity property of addition

(O) identity property of multiplication

INVERSE PROPERTIES: (R) inverse property of addion

(A) inverse property of multiplication

DISTRIBUTIVE PROPERTIES: (E)

THE STATEMENT IS FALSE: (T)

please help me because i'm not sure with my answers.

thanks

Answer 1

1.) xy + 7 = 7 + xy...........................Y

2.) xy + 7 = yx + 7...........................H

3.) 7 (x + y) = 7x + 7y.....................E

4.) -4 + 4 = 0................................. R

5.) 1/9(9) = 1................................. A

6.) u + (u + 20) = (u + u) + 20........S

7.) 5(8n) = (5.8)n.......................... W

8.) If a and b are rational numbers,

then a + b is a rational number.....I

9.) w + 0 = w................................. N

10.) w.1 = w.................................. O

11.) x (x - y) =x2 - xy......................E

12.) x (x . y) = x2 . xy......................T

13.) 15 + (k + 4) = 15 + (4 + k)....Y

14.) 15 + (4 + k) = (15 +4) + k.....S

15.) 15 - (4 - k)= (15 - 4) - k.........T

16.) If a and b are rational numbers,

then ab is a rational number........L

17.) [-6 . (-1/6)]n = 1 . n................A

18.) 8a + ab = a(8 + b).................E

19.) w(16w) = w (w . 16)..............H

20.) w (w . 16) = w2 . 16..............E

21.) 3x + [10 + (-10)] = 3x + 0......R

22.) 2/5 . 5/2 x3 = 1. x3................A

23.) 1 . x3 = x3..............................O

24.) 3 (m divided by 12) = 3 (12 divided by m).....T