MATH 27

COMMUTATIVE & ASSOCIATIVE LAWS

PRACTICE

 

 

If the statement is true, state which law the statement illustrates, and then simplify if possible. If the statement is false, write false.

 

1) (5+3)+7 = 5+(3+7)

 

2) (5+3)+7 = 7+(5+3)

 

3) 10-(7-3) = (10-7)-3

 

4) 36· (12· 3) = (36· 12)· 3

 

5) (xy)z = (yx)z

 

6) (xy)z = x(yz)

 

7) (x-y)(z+3)(a) = (z+3)(x-y)(a)

 

8) abef = bafe

 

9) (a+b)(e+f) = (a+b)(f+e)

 

10) 3(xy) = (3x)(3y)

 

Simplify using communative & associative laws.

 

11) (2+5)+(y+7)

 

12) (p+9)+(n+14)

 

13) (3+s)+(r+12)

 

14) (7s)(5t)

 

15) (4s)(5t)(r· 8)

 

16) (2+n)+(p+4)+(q+2)

 

17) (x+y)+(2+p)+(q+4)

18) 4· (3t)

 

19) 4· (a· 7)

 

20) 23· m· n· 2

 

 

1

T, assoc add, 15

11

y+14

2

T, comm add, 15

12

p+n+23

3

F

13

s+r+15

4

T, assoc add, 1296

14

35st

5

T, comm mult

15

160rst

6

T, assoc mult

16

n+p+q+8

7

T, comm mult

17

x+y+p+q+6

8

T, comm mult

18

12t

9

T, comm add

19

28a

10

F

20

46mn