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Alg 2: Axioms Notes

Total questions: 64

Worksheet time: 2hrs 34mins

Name
Class
Date
1.

Structure: Axioms Notes

Kindly read the introductory paragraph, copy the objectives into your notes, and type "Finished" when complete.

Voice Level: 0

(a)  

2.

Catechism 1

Kindly the catechism into your notes, and type "Finished" when complete.

Voice Level: 0

(a)  

3.

Axioms: The Closure Axiom

Kindly read the paragraph, copy insights into your notes if needed, and type "Finished" when complete.

Voice Level: 0

(a)  

4.

Properties

Kindly copy these properties into your notes and type "Finished" when complete.

Voice Level: 0

(a)  

5.

Catechism 2

Kindly copy into your notes and type "Finished" when complete.

Voice Level: 0

(a)  

6.

1.5.E1

Kindly identify the property shown

a)

Commutative

b)

Associative

c)

Identity

d)

Additive

e)

Reflexive

7.

1.5.E2

Kindly identify the property shown

a)

Commutative

b)

Associative

c)

Identity

d)

Additive

e)

Reflexive

8.

Catechism 3

Kindly copy into your notes and type "Finished" when complete

(a)  

9.

1.5.E3

Kindly identify the property shown

a)

Commutative

b)

Associative

c)

Identity

d)

Additive

e)

Reflexive

10.

1.5.E4

Kindly identify the property shown

a)

Commutative

b)

Associative

c)

Identity

d)

Additive

e)

Reflexive

11.

Catechism 4

Kindly copy into your notes

(a)  

12.

Properties of Multiplication

Kindly copy these properties into your notes and type "Finished" when complete.

Voice Level: 0

(a)  

13.

1.5.E5

Kindly identify the property shown

a)

Commutative

b)

Associative

c)

Identity

d)

Additive

e)

Reflexive

14.

1.5.E6

Kindly identify the property shown

a)

Commutative

b)

Associative

c)

Identity

d)

Additive

e)

Reflexive

15.

1.5.E7

Kindly identify the property shown

a)

Commutative

b)

Associative

c)

Identity

d)

Additive

e)

Reflexive

16.

1.5.E8

Kindly identify the property shown

a)

Commutative

b)

Associative

c)

Identity

d)

Multiplicative Inverse

e)

Reflexive

17.

1.5.E9

Kindly identify the property shown

a)

Commutative

b)

Associative

c)

Identity

d)

Multiplicative Inverse

e)

Distributive

18.

1.5.E10

Kindly identify the property shown

a)

Commutative

b)

Zero

c)

Identity

d)

Multiplicative Inverse

e)

Distributive

19.
Which property of multiplication is shown?  
(6+3) x 7 = 6 x 7 + 3 x 7
a)
Commutative Property
b)
Identity Property
c)
Associative Property
d)
Distributive Property
20.
Which equation shows the Multiplicative Inverse of a number?
a)
a x 1 = a
b)
a + -a = 0
c)
a x 0 = 0
d)
a x (1/a) = 1
21.
Which property of addition is used in the following?  
(3 + 9) + 5 = 3 + (9 + 5)
a)
Distributive Property
b)
Identity Property
c)
Commutative Property
d)
Associative Property
22.
Which equation shows the Identity Property of Multiplication?
a)
a + a + a = 3 x a
b)
a x 1
c)
(a + b) + 8 = a + (8 + b)
d)
a(b + c) = ab + ac
23.
Which of the following does not show the Commutative Property of Addition?
a)
2 + x = x + 2
b)
3x + 4y = 4y + 3x
c)
a + b = b + a
d)
ab = ba
24.
Which property is used in the following?
7 x (8 + 2)=7 x 8 + 7 x 2
a)
Associative Property
b)
Commutative Property
c)
Distributive Property
d)
None of the above
25.

Which equation shows the Addition Property of Zero?

a)

(a + b) + 8 - a + (8 + b)

b)

a x 0 = 0

c)

a + 0 = a

d)

a(b + c) = ab + ac)

26.
Which operation will not change the value of any nonzero number?
a)
Adding One
b)
Adding Zero
c)
Multiplying by Zero
d)
Dividing by Zero
27.
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
28.
Which equation shows the Zero Property of Multiplication?
a)
4 x 0 = 0
b)
3 x 6 = 6 x 3
c)
9 + 9 + 9 = 3 x 9
d)
5 x 1 = 5
29.
Which property is used in the following expression?
(4 x 2) x 5 = 2 x (5 x 4)
a)
Associative Property of Addition
b)
Commutative Property of Addition
c)
Associate Property of Multiplication
d)
Distributive Property of Multiplication
30.
Simplify this expression:
4(y + z)
a)
4x + y
b)
4y + z
c)
4yz
d)
4y + 4z
31.
Which property is used in the following expression?
(a x b) x c = a x (b x c)
a)
Associative Property of Multiplication
b)
Associative Property of Addition
c)
Commutative Property of Addition
d)
Distributive Property
32.

Which property of addition does 4 + 0 = 4 illustrate?

a)

Identity Property

b)

Distributive Property

c)

Zero Property

d)

Commutative Property

33.
Which property would you use to simplify the following expression?
2(y + 9)
a)
Commutative Property
b)
Multiplication Property of Zero
c)
Distributive Property
d)
Associative Property
34.
Which of the following does not show the Commutative Property?
a)
x + y = y + x
b)
yx = xy
c)
5 + y = y + 5
d)
xy - 8 = xy
35.
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)
36.
Which property is used in the following expression?
3(6 + 8) = 18 + 24
a)
Associative Property of Addition
b)
Associative Property of Multiplication
c)
Distributive Property
d)
Commutative Property of Addition
37.
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)
38.
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
39.
Which operation will not change the value of any nonzero number?
a)
Multiplying by one
b)
Adding one
c)
Multiplying by zero
d)
Dividing by zero
40.
The value of any nonzero number will be changed by
_________________________
a)
multiplying by zero
b)
adding zero
c)
dividing by one
d)
multiplying by one
41.
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
42.
Simplify this expression:
3(x + 4)
a)
3x + 4
b)
3x + 12
c)
15x
d)
3x + 4x
43.
Which property is used in the following equation?
2(x + 5) = 2x + 10
a)
Associative Property of Addition
b)
Distributive Property
c)
Commutative Property of Multiplication
d)
Identity Property
44.

1+2+3 = 3+2+1 is an example of...

a)

Associative Property

b)

Commutative Property

c)

Identity Property

d)

Distributive Property

45.

4 x (2+3) =(4x2) + (4x3) is an example of...

a)

Associative Property

b)

Commutative Property

c)

Identity Property

d)

Distributive Property

46.

4 x (7 - 3) =(4x7) - (4x3) is an example of...

a)

Associative Property

b)

Commutative Property

c)

Identity Property

d)

Distributive Property

47.

4 x 0 = 0 is an example of...

a)

Associative Property

b)

Commutative Property

c)

Identity Property

d)

Distributive Property

e)

Zero Property

48.

4 + 0 = 4 is an example of...

a)

Associative Property

b)

Commutative Property

c)

Identity Property

d)

Distributive Property

e)

Zero Property

49.

4 + 12 = 12 + 4 is an example of...

a)

Associative Property

b)

Commutative Property

c)

Identity Property

d)

Distributive Property

e)

Zero Property

50.

4 + (12 + 5) = (12 + 4) + 5 is an example of...

a)

Associative Property

b)

Commutative Property

c)

Identity Property

d)

Distributive Property

e)

Zero Property

51.

5 x 1 = 5 is an example of...

a)

Associative Property

b)

Commutative Property

c)

Identity Property

d)

Distributive Property

e)

Zero Property

52.

n x 1 = n is an example of...

a)

Associative Property

b)

Commutative Property

c)

Identity Property

d)

Distributive Property

e)

Zero Property

53.

n + (m + y) = (n +m) + y is an example of...

a)

Associative Property

b)

Commutative Property

c)

Identity Property

d)

Distributive Property

e)

Zero Property

54.

n + m = m + n is an example of...

a)

Associative Property

b)

Commutative Property

c)

Identity Property

d)

Distributive Property

e)

Zero Property

55.

(2 x 10) x100 = 2 x (10 x 100) is an example of...

a)

Associative Property

b)

Commutative Property

c)

Identity Property

d)

Distributive Property

e)

Zero Property

56.

is an example of...

5÷1 = 55\div1\ =\ 5  

a)

Associative Property

b)

Commutative Property

c)

Identity Property

d)

Distributive Property

e)

Zero Property

57.

is an example of...

5(9−2) = 5×9 − 5×25\left(9-2\right)\ =\ 5\times9\ -\ 5\times2  

a)

Associative Property

b)

Commutative Property

c)

Identity Property

d)

Distributive Property

e)

Zero Property

58.

This is an example of

a)

Confusion

b)

a Weasley

c)

How I feel when we are learning something new

d)

Manners - He won't talk with his mouth full

e)

A Trap

59.

Select all examples of the Distributive Property

a)

3(4+6) = 3(4) + 3(6)

b)

3+(6 x 2) = (3+6) x (3+2)

c)

4 x (5 x 3) = (4 x 5) x 3

d)

3 x (9 - 2) = (3 x 9) - (3 x 2)

e)

4 + 3 + 10 = 10 + 3 + 4

60.

Select all examples of the Associative Property

a)

3 x 45 = 3 x 5 x 9 = (3 x 5) x9

b)

3+(6 x 2) = (3+6) x (3+2)

c)

4 x (5 x 3) = (4 x 5) x 3

d)

3 x (9 - 2) = (3 x 9) - (3 x 2)

e)

4 + 3 + 10 = 10 + 3 + 4

61.

Select all examples of the Commutative Property

a)

3 x 45 = 3 x 5 x 9 = (3 x 5) x9

b)

3+(6 x 2) = (3+6) x (3+2)

c)

4 x (5 x 3) = (4 x 5) x 3

d)

n x 10 x 4 = 4 x 10 x n

e)

4 + 3 + 10 = 10 + 3 + 4

62.

Which is NOT a math property (could be more than one could be none!)

a)

Associative Property

b)

Identity Property

c)

Communitive Property

d)

Distributive Property

e)

Commutative Property

63.

0 + m = m is an example of...

a)

Associative Property

b)

Commutative Property

c)

Identity Property

d)

Distributive Property

e)

Zero Property

64.

This is an example of...

n ⋅0 =0n\ \cdot0\ =0  

a)

Associative Property

b)

Commutative Property

c)

Identity Property

d)

Distributive Property

e)

Zero Property

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