Properties
One-step Equations
Like Terms
100

The Inverse of Addition Property says that adding the __________ of a number will result in 0.

opposite

100

x - 5 = 10

x = ?

x = 15

100

Are the following ALL Like Terms?

5x and -2x

Yes, they both and in "x"

200

The Multiplicative Property of Zero states that any number multiplied by 0 will equal = ______

zero

200

x + 7 = -30

x = -37

200

Are the following ALL Like Terms?

-4x and 33x

12 and 20

2x2 and 6x2

Yes, each pair ends with the same variable

300

2 + 10 = 10 + 2.

This is an example of the ______________ Property?

Commutative Property.

300

3x = -12

x = ?

x = -4

300

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.

400

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

400

-2x = 75

x = -37.5

400

Solve for the following equation by combining Like Terms:

5x - 2x + (-x) + 7x = 81

x = 9

500

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.

500

x/6 = -22

x = ?

x = -132

500

Solve for the following equation by combining Like Terms:

-14x + 50 + 9x - (-8x) = -50

x = -33.3 (repeated)