WorksheetsNumber Properties Test
Total questions: 50
Worksheet time: 4hrs 10mins
Name
Class
Date
1.
3(w + 4) = 3w + 12 is an example of...
a)
Inverse Property
b)
Distributive Property
c)
Multiplicative Inverse
d)
Associative Property
2.
(5 + 3) + 2 = 5 + (3 + 2)
a)
Commutative Addition
b)
Commutative Multiplication
c)
Associative Addition
d)
Associative Multiplication
3.
Find an equivalent expression using the Commutative property:
4 x 3 x 5 =
4 x 3 x 5 =
a)
4 + 3 x 5
b)
5 x 4 x 3
c)
5 + 4 + 3
d)
3x + 5
4.
Tell which property the statement illustrates.
7 ∗ z = z ∗ 7
7 ∗ z = z ∗ 7
a)
Multiplication Property of 1
b)
Associative Property of Multiplication
c)
Commutative Property of Multiplication
d)
Distributive Property
5.
Tell which property the statement illustrates.
23 + (15 + w) = (23 + 15) + w
23 + (15 + w) = (23 + 15) + w
a)
Distributive Property
b)
Associative Property of Addition
c)
Commutative Property of Addition
d)
Multiplication Property of Zero
6.
Tell which property the statement illustrates.
11 + (r + 5) = 11 + (5 + r)
11 + (r + 5) = 11 + (5 + r)
a)
Commutative Property of Addition
b)
Associative Property of Addition
c)
Distributive Property
d)
Addition Property of Zero
7.
A property that states you can add (+) or multiply (∗) numbers in any order.
a)
Associative Property
b)
Commutative Property
c)
Distributive Property
d)
Addition Property
8.
A property that states when you add (+) or multiply (∗), you can group ( ) the numbers together in any combination.
a)
Associative Property
b)
Addition Property of Zero
c)
Commutative Property
d)
Distributive Property
9.
A property that states you can multiply (∗) numbers mentally by breaking apart one of the numbers and writing it as a sum (+) or difference (−).
a)
Associative Property
b)
Commutative Property
c)
Distributive Property
d)
Mental Math Property
10.
What is 0.000000685 written in scientific notation?
a)
685 x 10-9
b)
68.5 x 10-8
c)
6.85 x 10-8
d)
6.85 x 10-7
11.
What is 8.038 x 108 in standard form?
a)
80,308,000
b)
80,380,000
c)
83,800,000
d)
803,800,000
12.
What is 500,000,000,000 in scientific notation?
a)
5 x 1011
b)
5 x 10-12
c)
5 x 1012
d)
5 x 10-11
13.
Evaluate the expression: 62 + (3 x 4) - 24
a)
16
b)
32
c)
40
d)
-8
14.
What is 855,000,000,000 in scientific notation?
a)
8.5 x 109
b)
8.55 x 1011
c)
8.055 x 108
d)
8.5 x 107
15.
What is 5.8 x 10-10 in standard form?
a)
0.00000000058
b)
0.00000058
c)
0.00000000005008
d)
0.000005008
16.
Which is an example of the commutative property of multiplication?
a)
4 x(1 x 2) = (4 x 1) x 2
b)
2 x 2 = 4 x 1
c)
2(3) = 2(4)
d)
3 x 4 = 4 x 3
17.
The commutative property of multiplication states that the order of the numbers in an equation:
a)
Should go from least to greatest
b)
Doesn't change the product
c)
Should go from greatest to least
d)
Is always important
18.
Which of these illustrates the associative property of multiplication?
a)
4 x (5 x 6) = (4 x 5) x 6
b)
6 (9 + 1) = (6 x 9) + (6 x 1)
c)
4 x (56) = (45) x 6
d)
5 + 0 = 0 + 5
19.
Which property is represented?
2(4 + 9) = 8 + 18
2(4 + 9) = 8 + 18
a)
Commutative Property
b)
Associative Property
c)
Distributive Property
20.
9+(2+4) = (9+2)+4
a)
Commutative Property of Addition
b)
Associative Property of Addition
c)
Additive Identity Property
d)
Distributive Property
21.
The Distributive Property would say
3(a + 2b) = ______
3(a + 2b) = ______
a)
3(2b + a)
b)
(a + 2b)3
c)
3a + 2b
d)
3a + 6b
22.
Which property is represented?
3 + (15 + 4) = (3 + 15) + 4
3 + (15 + 4) = (3 + 15) + 4
a)
Commutative Property
b)
Associative Property
c)
Distributive Property
23.
Which property is represented?
25 ∗ 4n = 4n ∗ 25
25 ∗ 4n = 4n ∗ 25
a)
Commutative Property
b)
Associative Property
c)
Distributive Property
24.
Which property is represented?
9(4 - y) = 36 - 9y
9(4 - y) = 36 - 9y
a)
Commutative Property
b)
Associative Property
c)
Distributive Property
25.
Which property is represented?
9x + 13 = 13 + 9x
9x + 13 = 13 + 9x
a)
Commutative Property
b)
Associative Property
c)
Distributive Property
26.
Which property is represented?
(10 + 3) + 6 = 10 + (3 + 6)
(10 + 3) + 6 = 10 + (3 + 6)
a)
Commutative Property
b)
Associative Property
c)
Distributive Property
27.
Which property is represented?
(w + x) + y = w + (x + y)
(w + x) + y = w + (x + y)
a)
Commutative Property
b)
Associative Property
c)
Distributive Property
28.
Which property is represented?
4e + 6 + e = 4e + e + 6
4e + 6 + e = 4e + e + 6
a)
Commutative Property
b)
Associative Property
c)
Distributive Property
29.
Tell which property the statement illustrates.
(2 ∙ 6) + (2 ∙ 4) = 2(6 + 4)
(2 ∙ 6) + (2 ∙ 4) = 2(6 + 4)
a)
Distributive Property
b)
Associative Property of Addition
c)
Associative Property of Multiplication
d)
Commutative Property of Addition
30.
Tell which property the statement illustrates.
10(a − 9) = (10 × a) − (10 × 9)
10(a − 9) = (10 × a) − (10 × 9)
a)
Commutative Property of Subtraction
b)
Multiplication Property of Subtraction
c)
Distributive Property
d)
Associative Property of Subtraction
31.
Find the Least Common Multiple (LCM) of 12 & 30
a)
30
b)
36
c)
60
d)
90
32.
Find the LCM of each set of numbers.
4, 5, 6
4, 5, 6
a)
20
b)
36
c)
45
d)
60
33.
GCF of 32 and 40
a)
2
b)
4
c)
6
d)
8
34.
Find the GCF of 64 and 144
a)
8
b)
6
c)
16
d)
2
35.
A prime number...
a)
has one factor.
b)
has more than 2 factors.
c)
has 100 factors.
d)
has exactly 2 factors: 1 and the itself.
36.
A composite number ...
a)
has more than 2 factors.
b)
has one factor.
c)
has at least 10 factors.
d)
is always a really big number.
37.
One is...
a)
prime
b)
composite
c)
not prime or composite
d)
the loneliest number
38.
Which of the following is NOT prime?
a)
29
b)
23
c)
17
d)
39
39.
If the expanded form is 2⋅2⋅2⋅3⋅3⋅5⋅7 what would the exponential form be?
a)
2⋅3⋅5⋅7
b)
2³⋅3²⋅5⋅7
c)
2²⋅3²⋅5⋅7
d)
8⋅9⋅35
40.
Find the prime factorization of 105
a)
7x5x3
b)
11x5x3
c)
7x5x2x1
d)
7x5x3x2
41.
Which number is not a multiple of 9?
a)
18
b)
72
c)
13
d)
36
42.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
43.
Simplify the following expression:
xy-7
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
44.
Write each product using an exponent.
7 x 7 x 7 x 7 x 7 x 7 x 7 x 7
7 x 7 x 7 x 7 x 7 x 7 x 7 x 7
a)
77
b)
78
c)
87
d)
79
45.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
46.
(6x2)(-3x5)
a)
18x7
b)
-18x7
c)
18x7
d)
3x7
47.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
48.
According to exponent rules, when we multiply the same base, we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
49.
According to exponent rules, when we divide same bases, we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
50.
When raising a power to a power, you __________________ the exponents.
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
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