EQUALITIES
b + 11 = -6
b = -17
v - 6 > -1
v > 5
6(2 + 4) = 4(12 – 3)
true
If a = b,
then a - c = b - c
Subtraction Property of Equality
4 + 12 = 2x
16 = 2x
Combining Like Terms
-8n + 18 - n = 0
n = 2
-1 + k - 9 > -5
k > 5
5(4 + 1) + 1 = 4( 3 + 2) - 1
false
a(b + c) = ab + ac
a(b - c) = ab - ac
Distributive Property
-5j -2 > 23
-5j > 25
Addition Property of Inequality
5(x - 10) + 20 = 0
x = 6
-3(-2 - 3r) < 33
r < 3
10(3 + 2) > 5(1 + 9)
false
If a = b
Then a - c = a - b
Subtraction Property of Equality
-10x < 100
x > -10
Division Property of Inequality
-8(9 - 3a) + a - 3 = 0
a = 3
4(3 - 8m) < 60 - 8m
m > -2
If a = b
Then a/c = b/c
Division Property of Equality
-x - 3 + 4x = 15
-3 + 3x = 15
3x = 18
x = 6
1. Combining Like Terms
2. Addition Property of Equality
3. Division Property of Equality
3/4y - 9 = -15
y = -8
4/6k > -8 + 16
k > 12
If c > 0 (positive number) and a > b
Then ac > bc
If c < 0 (negative number) and a > b
Then ac < bc
Multiplication Property of Inequality
Justify each step using properties of inequality & Solve for m
4(3 - 8m) < 60 - 8m
1.Distributive Property
2.Addition Property of Inequality
3.Subtraction Property of Inequality
4. Division Property of Inequality
m > -2