Properties of Algebra

Name that Property-Variables

100

a + b + c = b + a + c

Commutative Property (of Addition)

200

a + 0 = a

Identity Property (of Addition)

300

(A*B) * C = A * (B*C)

Associative property (of Multiplication)

400

a * 1=a

Identity Property of Multiplication

500

5*6*8=5*8*6

Commutative property (of multiplication)

Name that Property- Numbers

100

6*8=8*6

Commutative Property (of multiplication)

200

7*9*20 =  9*7*20

Commutative Property of Multiplication

300

6+(8+y) = (6+8)+y

Associative Property of Addition

400

8 +0  = 8

Identity Property of addition

500

6 x 0 = 0

Multiplicative Property of Zero

Define that Property

100

The Identity Property of Addition

A + 0 = A

200

The Commutative Property of Addition

A + (B + C) = (A + B) + C

300

The identity property of multiplication

A * 1 = A

400

The Associative Property of Addition

9+(3+2) = (9+3)+2

500

The Commutative Property of Multiplicatoin

8*3*6 = 3*8*6

Factor

100

4x + 8

4(x + 2)

200

6x + 9

3(2x+3)

300

x² + 2x

x(x+2)

400

3x + 6y + 9

3(x + 2y + 3)

500

x⁷ - x⁵

x⁵(x² - 1)

Missing terms

100

a x ____ = 1

1/a

200

a x _____ = a

1

300

a x _____ = 0

0

400

a + _____ = a

0

500

a - _____ = 0

a