Download A) Additive Inverse

Name _________________________________
Algebra I Properties Test
Date ________
A) Additive Inverse
B) Multiplicative Inverse
Property
Property
D) Commutative Property E) Associative Property
C) Identity Property of
Addition
F) Distributive Property
G) Identity Property of
Multiplication
J) Transitive Property
H) Substitution Property
I) Reflexive Property
K) Symmetric Property
L) Properties of Zero
I.
Identify the property that is being illustrated by using the letter of
the indicated property above.
1.
87 + 98 = 98 + 87
2.
(18 + 9) + 25 = 18 + (9 + 25)
3.
20(6 + 9) = 20(6) + 20(9)
4.
58(16 – 5) = 58(16) – 58(5)
5.
4(5x) = (4 · 5)x
6.
12x = 12x
7.
25m + 0 = 25m
8.
13f · 1 = 13f
9.
7π · 0 = 0
10.
If y = x + 2, then x + 2 = y
II.
Compute
11.
48 + (-15)
12.
-39 + 68
13.
-8 + 8 (-12)
14.
48 – (-48)
15.
-39 – (-18)
16.
-23 – 72
17.
(-12) (-5)
18.
(-0.9)(3)
19.
(-121) ÷ (-11)
20.
(-6) (-3) ÷ (-9)
21.
(-4)(4) ÷ (-1)
22.
(-3)(4 + 7)
III.
23.
24.
25.
26.
Prove (a + b) + (-a) = b. Justify each step by filling in the blank with
name of the property being illustrated.
(a + b) + (-a) = (b + a) + (-a)
= b + [a + (-a)]
=b+0
=b
(a + b) + (-a) = b
*Bonus*
_______________ Property
_______________ Property
_______________ Property
_______________ Property.
_______________ Property
Why is 15 ÷ 0 considered “undefined”?