Algebraic Properties Review Game

Which Property? 1

100

Which property is being used? (4 + 7) + 10 = 4 + (7 + 10)

Associative Property of Addition

200

Which property is being used? 0 + 454 = 454

Identity Property of Addition

300

Which property is being used? 1+2 = 2+1

Commutative Property of Addition

400

Which property is demonstrated here? 1 x 89 = 89

Identity Property of Multiplication

500

Which property is being used here? 26 + (38 + 74) = (26 + 38) + 74

Associative Property of Addition

Which Property? 2

100

Which property is being used? 8 x (7 x 3) = (8 x 7) x 3

Associative Property of Multiplication

200

Which property is being used? 4 (3 + b) = 4(3) + 4(b)

Distributive Property

300

Which property is being used? 7 x 8 x 1 x 63 = 63 x 7 x 1 x 8

Commutative Property of Multiplication

400

Which property is demonstrated here? 8(100-1) = 8(100)-8(1)

Distributive Property

500

Which property is being used? 4 (6c + 9) = 24c + 36

Distributive Property

True or false?

100

Subtraction is commutative.

False.

200

(2+3)+6 = 2+(3+6) uses the Distributive property.

False. Bonus: What property does it use?

300

Division is NOT commutative.

True.

400

The associative property works for multiplication and addition.

True.

500

24 / (4 + 8) = (24 / 4) + (24 / 8) is an example of the Distributive Property.

False Distributive property does NOT work with division!

Solving Distributive Property

100

Simplify this expression using the distributive property. 4 (12w + 9)

4(12w) + 4(9) 48w + 36

200

Simplify this expression using the distributive property. 7 (3 + 5d)

7(3) + 7(5d) = 21 + 35d

300

Simplify this expression using the distributive property. 12 (2y - 3)

12(2y) - 12(3) 24y - 36

400

Simplify this expression using the distributive property. 6 (5 + 7m)

6(5) + 6(7m) 30 + 42m

500

Simplify this expression using the distributive property. 11 (4n + 7)

11(4n) +11(7)    44n + 77 

Write a Problem

100

Writing a problem using the following property: Associative Property of Addition

Answers will vary - Must follow the form: a + (b + c) = (a + b) + c

200

Writing a problem using the following property: Commutative Property of Multiplication

Answers will vary - Must follow the form: a x b = b x a

300

Writing a problem using the following property: Identity Property of Addition

Answers will vary - Must follow the form: 0 + a = a

400

Writing a problem using the following property: Identity Property of Multiplication

Answers will vary - Must follow the form: 1 x b = b

500

Writing a problem using the following property: Distributive Property

Answers will vary - Must follow the form: a(b + c) = a(b) + a(c) OR a(b + c) = ab + ac a(b - c) = a(b) - a(c) OR a(b - c) = ab - ac