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

Simplify the expression using the distributive property with negative numbers

100

-3(x - 4)

-3x + 12

200

-(x - 2)

-x + 2

300

5 -3(x + 2)

5 -3x - 6

-3x -1

400

8+ (2x -4)8

8 + 16x - 32

16x -24

500

2(-2x - 3) + 3(-3x - 4)

-4x -6 -9x -12

-13x - 18

True or false?

100

Subtraction is commutative. If not what is commutative?

False. Addition and multiplication

200

(2+3)+6 = 2+(3+6) uses the Distributive property. If not, what property is this?

False. Associative property

300

Division is NOT commutative. If true, what is commutative?

True. Addition and multiplication

400

The identity property of multiplication is when you multiply any number by zero. If false, what is the identity property of multiplication? 

False. Multiplying by 1

500

The multiplicative inverse property means you divide both sides by the same number. If false, what does it mean? 500 extra points if you know the words Mrs. Duffy is going to say. 

False. It means to multiply by the flipped fraction to get 1. The correct words are Multiply by the Reciprocal. 

Simplify the Distributive Property

100

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

 48w + 36

200

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

21 + 5d or 5d + 21

300

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

24y + 36

400

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

25 + 35m

or 35m + 25

500

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

-44n - 77

Write a Problem

100

Writing a problem with the numbers 1,2,and 3, that uses Associative Property of Addition

Answers will vary - 1 + (2 + 3) = (1 + 2) + 3

200

Writing a problem using the numbers 4, 5, and 6 that represents the Commutative Property of Multiplication

Answers will vary -  4 x 5 x 6 = 6 x 5 x 4

300

Writing a problem using the Identity Property of Addition

Answers will vary -  0 + 5 = 5

400

Writing a problem using Identity Property of Multiplication

Answers will vary: 1 x -10 = -10

500

Writing a problem that shows multiplying by the reciprocal

Answers will vary - 5/2 (2/5) = 1