Properties
a + 11 = 11 + a
Commutative Property of Addition
Name the coefficients
8y + 6ab + 7 - 3ab
8, 6, -3
Simplify
2z + 5z - 3y +y
7z-2y
Solve
p + 37 = 837
p=800
Solve
7 + x ≥ 9
x>=2
Makes an inequality true
solution to an inequality
x + 0 = x
Identity Property of Addition
Name the like terms
8y + 6ab + 7 - 3ab
6ab and -3ab
Simplify
6(2a - 3b)
12a-18b
Solve
-2x=34
x=-17
Solve
- x ≤ 2
x>=-2
Value for a variable that makes an equation true
solution to an equation
5(2x + 3) = 5(2x) + 5(3)
Distributive Property
Name the constants
8y + 6ab + 7 - 3ab
7
Like terms
Terms with identical variables or no variable
Solve
m/-3 =21
m=-63
Solve
x/3 > -2
x>-6
open sentence
equation with one or more variables
2(5y) = (2 ●5)y
Associative Property of Multiplication
Name the coefficients
4m + (-3n) + n
4, -3, 1
constant
Term with no variable
Solve
x-19=81
x=100
Solve
x-8 < 11
inverse operation
the opposite operation/ undo each other
5y ●1 = 5y
Identity Property of Multiplication
Name the like terms
4m + (-3n) + n
-3n and n
Coefficient
Number with a variable (multiplies a variable)
Equation
mathematical sentence with an equal sign
Inequality
Mathematical sentence with
>,<, >=, <=
Commutative Property
changing the order does not change the answer