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 |