Properties
The Inverse of Addition Property says that adding the __________ of a number will result in 0.
opposite
x - 5 = 10
x = ?
x = 15
Are the following ALL Like Terms?
5x and -2x
Yes, they both and in "x"
The Multiplicative Property of Zero states that any number multiplied by 0 will equal = ______
zero
x + 7 = -30
x = -37
Are the following ALL Like Terms?
-4x and 33x
12 and 20
2x2 and 6x2
Yes, each pair ends with the same variable
2 + 10 = 10 + 2.
This is an example of the ______________ Property?
Commutative Property.
3x = -12
x = ?
x = -4
Are the following ALL Like Terms?
7xy and 3xy
x2 and 2x4
15p and -5y
No, the top pair is alike, but the 2nd and 3rd pair are unlike.
Which of the following is an example of the
Distributive Property?
A) 3 · 1 = 1
B) 12 · (2 · 5) = (12 · 2) · 5
C) 5(x · 4) = 5x · 20
C
-2x = 75
x = -37.5
Solve for the following equation by combining Like Terms:
5x - 2x + (-x) + 7x = 81
x = 9
Which of the following portrays the WRONG Property?
A) Inverse of Multiplication: 4/9 · 9/4
B) Multiplicative Identity: -5 · 2 = 2 · -5
C) Additive Identity: 17 + 0 = 17
B - The Multiplicative Identity only happens when you multiply a number by 1 and get the same number.
x/6 = -22
x = ?
x = -132
Solve for the following equation by combining Like Terms:
-14x + 50 + 9x - (-8x) = -50
x = -33.3 (repeated)