WorksheetsMath-6 Properties BJH
Total questions: 28
Worksheet time: 17mins
Name
Class
Date
1.
Which expression shows the Associative Property?
a)
a + (b × c) = (a + b) × c
b)
a(b + c) = ab + ac
c)
a × (b × c) = (a × b) × c
d)
a × b = b × a
2.
Which of the following does NOT show the Commutative Property of Addition?
a)
2 + x = x + 2
b)
3x + 4 = 4 + 3x
c)
a + b = b + a
d)
ab = ba
3.
Which property is used in the following?
7(8 + 2.6) = 7 × 8 + 7 × 2.6
7(8 + 2.6) = 7 × 8 + 7 × 2.6
a)
Associative Property
b)
Commutative Property
c)
Distributive Property
d)
None of the above
4.
Which property of addition is used in the following?
(3.4 + 9) + 5 = 3.4 + (9 + 5)
(3.4 + 9) + 5 = 3.4 + (9 + 5)
a)
Distributive Property
b)
Identity Property
c)
Commutative Property
d)
Associative Property
5.
Which of the following is an example of Commutative Property of Addition?
a)
3 + 5 = 7 + 3
b)
6 x 1 = 6
c)
9 + 8 = 8 + 9
d)
(8 + 4) + 2 = 8 + (4 + 2)
6.
Which is an example of Identity Property of Addition?
a)
(6 + 5) + 2 = 6 + (5 + 2)
b)
8 + 0 = 8
c)
3 + 6 = 6 + 3
d)
9 x 1 = 9
7.
Which expression is equivalent to:
2(x - 5)
2(x - 5)
a)
2x + 10
b)
2x - 5
c)
10x
d)
2x - 10
8.
Which property is shown?
(6 + 3) × 7 = 6 × 7 + 3 × 7
(6 + 3) × 7 = 6 × 7 + 3 × 7
a)
Commutative Property
b)
Identity Property
c)
Associative Property
d)
Distributive Property
9.
Which property is used in the following expression?
(a × b) × c = a × (b × c)
(a × b) × c = a × (b × c)
a)
Associative Property of Addition
b)
Associative Property of Multiplication
c)
Commutative Property
d)
Distributive Property
10.
Which is an example of Associative Property of Addition?
a)
6 + 0 = 6
b)
9 + (-9) = 0
c)
3 + 7 = 7 + 3
d)
(7 + 8) + 2 = 7 + (8 + 2)
11.
Which equation shows the Commutative Property of Multiplication?
a)
9 x 6 = 6 x 9
b)
5 x 3 = 5 + 5 + 5
c)
8 x 1 = 8
d)
4 x 3 - 2 x 3 = (4 - 2) x 3
12.
Which property is used in the following expression?
(4 × 2) × 5 = 4 × (2 × 5)
(4 × 2) × 5 = 4 × (2 × 5)
a)
Associative Property of Addition
b)
Commutative Property of Addition
c)
Associate Property of Multiplication
d)
Distributive Property of Multiplication
13.
Which operation will not change the value of any non-zero number?
a)
Multiplying by zero
b)
Adding one
c)
Multiplying by one
d)
Dividing by zero
14.
Which equation shows the Additive Inverse of a number?
a)
a + a = 2a
b)
a x 0 = 0
c)
a + (-a) = 0
d)
a + 0 = a
15.
Which expression is equivalent to:
(x + 4) × 3
(x + 4) × 3
a)
3x + 4
b)
3x + 12
c)
4x + 3
d)
x + (4×3)
16.
Are these two expressions equivalent?
2 • (3 • 7) and (2 • 3) • 7
2 • (3 • 7) and (2 • 3) • 7
a)
Yes, because of the associative property
b)
Yes, because of the commutative property
c)
Yes, because of the distributive property
d)
No, these two expressions are not exquivalent
17.
Are these two expressions equivalent?
6 + 3 and 3 + 6
6 + 3 and 3 + 6
a)
Yes, because of the associative property
b)
Yes, because of the commutative property
c)
Yes, because of the associative property
d)
No, these two expressions are not equivalent
18.
Are these two expressions equivalent?
6 – (4 – 1) and (6 – 4) – 1
6 – (4 – 1) and (6 – 4) – 1
a)
Yes, because of the associative property
b)
Yes, because of the commutative property
c)
Yes, because of the distributive property
d)
No, these two expressions are not equivalent
19.
Are these two expressions equivalent?
40 ÷ 10 and 10 ÷ 40
40 ÷ 10 and 10 ÷ 40
a)
Yes, because of the associative property
b)
Yes, because of the commutative property
c)
Yes, because of the distributive property
d)
No, these two expressions are not equivalent
20.
Are these two expressions equivalent?
7(3+2) and (3+2)7
7(3+2) and (3+2)7
a)
Yes, because of the associative property
b)
Yes, because of the commutative property
c)
Yes, because of the distributive property
d)
No, these two expressions are not equivalent
21.
Are these two expressions equivalent?
5(3+2) and 5•3 + 5•2
5(3+2) and 5•3 + 5•2
a)
Yes, because of the associative property
b)
Yes, because of the commutative property
c)
Yes, because of the distributive property
d)
No, these two expressions are not equivalent
22.
Which property is demonstrated here?
a + 0 = a
a + 0 = a
a)
Associative Property
b)
Commutative Property
c)
Identity Property
d)
Inverse Property
23.
Are these two expressions equivalent?
18 • 1 and 18
18 • 1 and 18
a)
Yes, because of the inverse property
b)
Yes, because of the commutative property
c)
Yes, because of the identity property
d)
No, these two expressions are not equivalent
24.
Which property makes this problem easier to calculate mentally?
17 + 29 + 3
17 + 29 + 3
a)
Associative Property of Addition
b)
Commutative Property of Addition
c)
Associative Property of Multiplication
d)
Commutative Property of Multiplication
25.
Which is the multiplicative inverse of 4?
a)
-4
b)
-1/4
c)
1/4
d)
1
26.
Which expression is equivalent to 32a?
a)
(30 × a) + 2
b)
(16 × a) + (a × 16)
c)
4 + 28a
d)
(8 × a) + (4 × a)
27.
Which expression is equivalent to 30 ÷ (3 + x)?
a)
(3 + x) ÷ 30
b)
30 ÷ (x + 3)
c)
(3 ÷ 30) + x
d)
(30 ÷ 3) + x
28.
Which property is shown below?
6 + (-6) = 0
6 + (-6) = 0
a)
Identity Property
b)
The Property of the Color Counters
c)
Additive Inverse
d)
Commutative Property
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