Property Identity Crisis
6 x 8 = 8 x 6
Which Property am I ??
Commutative Property
Which expression is equivalent to:
2 ( x + y )
A. 2x + y
B. 2xy
C. 2x + 2y
D. x + 2y
Answer: C
Mr. Smith, Mr. Wolverton, and Mr. Overton plan to take their music classes to musical revue. Tickets cost $6 each. They need a total of 48 tickets.
Write two equivalent expressions, using the Commutative Property, that could be used to determine the total cost.
6*48 AND 48*6
Determine whether the two expressions are equivalent:
7 * (6 * t) AND (7 * 6) * t
If yes, which property is applied?
If not, why not?
Yes
Associative Property
Solve the problem and name the Property you used:
-83 + ___ = 0
83
Inverse Property
(2 x 3) x 4 = 2 x (3 x 4)
Which Property am I ??
Associative Property
Which expression is not equivalent to:
2(3x)
A.   6x
B.   (2*3)x
C.   5x
D.   (3x)2
Answer: C
Ms. Ohnemus has 8 fish, 3 cats, and 2 dogs.
Write two equivalent expressions using the Associative Property that can be used to find the total number of pets.
(8 + 3) + 2 AND 8 + (3 + 2)
Determine whether the two expressions are equivalent:
18 - (7 - 3) AND (18 - 7) - 3
If yes, which property is applied?
If not, why not?
Sample Answers:
- No; the expressions equal 14 & 8
- No; cannot use Associative Property with subtraction
Solve both expressions. Show your steps. Name the Property you used.
67 + 32 + 14 AND 14 + 32 + 67
67 + 32 + 14 = 99 + 14 = 113
14 + 32 + 67 = 46 + 67 = 113
Commutative Property
5 x 1 = 5
Which Property am I ??
Identity Property
The following equation is an example of which property?
4x + 9 = 9 + 4x
A. Commutative Property
B. Associative Property
C. Distributive Property
D. Identity Property
Answer: A
Ms. Di Giorgio made three deposits to her account in this order: $460, $185, and $240.
Write two equivalent expressions using the Commutative Property that can be used to find the sum of the deposits.
Sample Answer:
$460 + $185 + $240 AND $460 + $240 + $185
Determine whether the two expressions are equivalent:
x * 1 AND 1 * x
If yes, which property is applied?
If not, why not?
Yes
Commutative Property
Solve both expressions. Show your steps. Name the Property you used.
4 x (8 x 2) & AND (4 x 8) x 2
4 x (8 x 2) = 4 x (16) = 64
(4 x 8) x 2 = (32) x 2 = 64
Associative Property
5 (3 + 5) = 5(3) + 5(5)
Which Property am I ??
Distributive Property
The following equation is an example of which property?
5x = 5x + 0
A. Commutative Property
B. Associative Property
C. Distributive Property
D. Identity Property
Answer: D
A grocery store sells an imported specialty cheese for $11 and its own store-brand cheese for $5.
Write two equivalent expressions for buying one of each cheese and an unknown amount of other groceries.
Sample Answer:
(11 + g) + 5 AND 11 + (g + 5)
Determine whether the two expressions are equivalent:
40 ÷ (8 ÷ 2) AND (40 ÷ 8) ÷ 2
If yes, which property is applied?
If not, why not?
Sample Answers:
- No; the expressions equal 10 & 2.5
- No; cannot use Associative Property with division
Solve the expression. Name the Property you used.
1,398,610 * ____ = 1
1/1,398,610
Inverse Property
5 * 1/5 = 1
Which Property am I ??
INVERSE PROPERTY
BONUS ROUND! DOUBLE POINTS!!!
Which of the following is not an example of the Distributive Property?
A. 3 (6x - 2) = 18x - 6
B. 4 (5x - 3) =20x - 3
C. 4x - 20 = 4 (x - 5)
D. 9 - 6x = 3 (3 - 2x)
Answer: B
Ms. Lee was looking at her bank account statement. She noticed that her beginning balance was $500. Then she added nothing to her account.
What was the ending balance on her statement? What property did you apply?
$500
Identity Property
Determine whether the two expressions are equivalent:
a (b + c) AND ab + ac
If yes, which property is applied?
If not, why not?
Yes
Distributive Property
Solve the expression. Name the Property you used.
3 (5x + 4)
15x + 12
Distributive Property