Questions 3 through 15 refer to the following:



Properties Worksheet 1 (identity, inverse, commutative, associative, distributive)

In numbers 1-9, select the property that is being illustrated.

1) -3 + 6 = 6 + -3

A) Associative Property of Addition

B) Commutative Property of Addition

C) Distributive Property

D) Property of Additive Inverse

2) 3 + (5 + 7) = 3 + (7 + 5)

A) Distributive Property

B) Property of Additive Inverse

C) Associative Property of Addition

D) Commutative Property of Addition

3) 7 • 3 = 3 • 7

A) Property of Multiplicative Inverse

B) Associative Property of Multiplication

C) Commutative Property of Multiplication

D) Distributive Property

4) (7 • 5) • 2 = 7 • (5 • 2)

A) Identity Property for Multiplication

B) Associative Property of Multiplication

C) Property of Multiplicative Inverse

D) Commutative Property of Multiplication

5) 2(7 + 3) = 2(7) + 2(3)

A) Commutative Property of Addition

B) Associative Property of Multiplication

C) Multiplication Property of Equality

D) Distributive Property

6) -2(x + 5) = -2x - 10

A) Multiplication Property of Equality

B) Associative Property of Multiplication

C) Distributive Property

D) Identity Property for Multiplication

7) -3(x - 3) = -3x + 9

A) Identity Property for Multiplication

B) Commutative Property of Multiplication

C) Multiplication Property of Equality

D) Distributive Property

8) x + 0 = x

A) Commutative Property of Addition

B) Associative Property of Addition

C) Property of Additive Inverse

D) Identity Property of Addition

9) a = a • 1

A) Associative Property of Multiplication

B) Identity Property of Multiplication

C) Property of Multiplicative Inverse

D) Commutative Property of Multiplication

In numbers 10-16, choose the answer the best answers the question.

10) Which of the following is an illustration of the associative property?

A) a(b + c) = ab + ac

B) ab + 0 = ab

C) a + (b + c) = (a + b) + c

D) a + b = b + a

11) Which sentence is an example of the distributive property?

A) a(b + c) = ab + ac

B) a • 1 = a

C) ab = ba

D) a(bc) = (ab)c

12) What number is the additive identity element?

A) 1 B) 0 C) -1 D) 2

13) Which statement best illustrates the additive identity property?

A) 6 + 2 = 2 + 6 B) 6 + 0 = 6

C) 6 + (-6) = 0 D) 6(2) = 2(6)

14) What number is the multiplicative identity element?

A) ½ B) 0 C) -1 D) 1

15) Which statement best illustrates the inverse property of addition?

A) 3 + 3= 6

B) -3 + 3= 0

C) 3 + 0 = 3

D) 3(1)= 3

16) Which statement best illustrates the inverse property of multiplication?

A) 2 • (-½) = -1

B) 2 • 1 = 2

C) 2 • 0 = 0

D) 2 • ½ = 1

Properties Worksheet 2

Write the name of the property illustrated (identity, inverse, commutative, associative, or distributive).

1) 7 + (-7) = 0

____________________________________

2) 1/5 • 5 = 1

____________________________________

3) x + (x + y) = (x + x) + y

____________________________________

4) 5(3+6)=(5•3)+(5•6)

____________________________________

5) 4•3=3•4

____________________________________

6) (6+8)+(4+6)=(4+6)+(6+8)

____________________________________

7) (3+5)+5=3+(5+5)

____________________________________

8) 2•8=8•2

____________________________________

9) (6•25)•4=6• (25•4)

____________________________________

10) 3(8-6)= (8•3)-(6•3)

____________________________________

11) 18•1=18

____________________________________

12) 18+12=12+18

____________________________________

13 (5•10)•10=5•(10•10)

____________________________________

14) 3(2+5)=3(2)+ 3(5)

____________________________________

15) (ab)c= a(bc)

____________________________________

16) 5(3+6)=(5•3)+(5•6)

____________________________________

17) 4•3=3•4

____________________________________

18) (m+n)+(o+p)= (o+p)+(m+n)

____________________________________

19) (x+y)+y= x+ (y+y)

____________________________________

20) 3(2x+5)= 3(2x) + 3(5)

____________________________________

Properties Worksheet 1 – ANSWER KEY

1) B

2) D

3) C

4) B

5) D

6) C

7) D

8) D

9) B

10) C

11) A

12) B

13) B

14) D

15) B

16) D

Properties Worksheet 2 – ANSWER KEY

1) Inverse property of addition

2) Inverse property of multiplication

3) Associative property of addition

4) Distributive property

5) Commutative property of multiplication

6) Commutative property of addition

7) Associative property of addition

8) Commutative property of multiplication

9) Associative property of multiplication

10) Distributive property

11) Identity property of multiplication

12) Commutative property of addition

13) Associative property of multiplication

14) Distributive property

15) Associative property of multiplication

16) Distributive property

17) Commutative property of multiplication

18) Commutative property of addition

19) Associative property of addition

20) Distributive property

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download