Distributive Property
8 (x + 15)
8x + 120
b - 9b
- 8b
Simplify:
-7m + 4 (-6 - 3m)
-19m - 24
Identify the property used:
5y + 0 = 5y
Identity Property of Addition
Identify the terms in this equation
11y + 9+ 2y
Terms: 11y, 9, 2y
Simplify the Expression:
(-7 + 2x) 10
-70 + 20x
Simplify:
x + 2x + 3x
6x
Simplify:
5n - 7 (-2 - 4x)
5n + 14 + 28x
Identify the property used:
1 x -25 = -25
Identity Property of Multiplication
List the coefficients in this expression
11m + 12 - 13m +14
Coefficients: 11, -13
Simplify the Expression:
-6 (3n-7)
-18n + 42
Simplify:
2b - 8 + 4b -6b
-8
Simplify:
4 (3x + 2) + 2 (x - 3)
14x + 2
Identify the property used:
x + (y+z) = (x+y) + z
Associative Property of Addition
List all like terms in this expression
2x + 4 - 5y + 6x -7
Like terms: 2x and 6x , 4 and -7
Distribute:
4 (2b +5) + (3 - 4b) 7
8b + 20 + 21 -28b
-19 - 11a + a + 16
-10a - 3
Simplify:
5 (x - 10) - (2x + 6)
3x - 56
Identify the property used:
g + h = h + g
Commutative Property of Addition
List the Terms, Coefficients, Constants, and Like Terms of this expression:
x - 3x + 15 - 2x
Terms: x, -3x, 15, -2x
Coefficients: 1, -3, -2
Constants: 15
Like Terms: x, -3x, -2x
Distribute:
(3j+1) - (-3j-7) - 9j
3j + 1 + 3j + 7 - 9j
Simplify:
8p - 5p + 5 - p - 2
2p + 3
Simplify:
-2 (-4y + 3x -1) + 2 (-2y +4x +2)
4y + 2x + 6
Identify the property used:
(m x n) x p = m x (n x p)
Associative Property of Multiplication
List the Terms, Coefficients, Constants, and Like Terms of this expression:
-7h - 4 - 6 + 19h
Terms: -7h, -4, -6, 19h
Coefficients: -7, 19
Constants: -4, -6
Like terms: -7h and 19h, -4 and -6