1. 4(x - 3) = 4x - 12
2. A + (B + C) = (A + B) + C
3. 6 * 1 = 6
4. 5 * (3 * 2) = (5 * 3) * 2
5. 2 + 0 = 2
6. 4 * ¼ = 1
7. 4 + (-4) = 0
8. 5 + 7 = 7 + 5
9. 3(5) = 5(3)
10. If 5 + 1 = 6 and 4 + 2 = 6, then 5 + 1 = 4 + 2
11. Rules that allow us to take short cuts when solving algebraic problems.
a. Additive inverse property
b. Identity property of addition
c. Distributive property
d. Associative property of addition
e. Identity property of multiplication
f. Commutative property of addition
g. Properties
h. Multiplicative inverse property
i. Associative property of multiplication
j. Commutative property of multiplication
k. Transitive property
I will define them a. x+(-x)=0 b. x+0=x c. a(b+c)=ab+ac d. a+(b+c)=(a+b)+c e. 1 times x=x f. a+b=b+a g. this is the 11 h. x times 1/x=1 i. a(bc)=(ab)c j. ab=ba k ??
so.
1. c 2. d 3. e 4. i 5. b 6. h 7. a 8. d 9. j 10. k 11. g
