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Foundations of Math Test Review

Total questions: 50

Worksheet time: 1hrs 11mins

Name
Class
Date
1.
Identify the property
a + b = b + a
a)
Identity of addtion
b)
commutative of addition
c)
associative of addition
d)
symmetric
2.
Identify the property
(a ⋅ b) ⋅ c = (c ⋅ b) ⋅ a
a)
commutative of multiplication
b)
identity of multiplication
c)
inverse of multiplication
d)
associative of multiplication
3.

Identify the example of the

inverse property of multiplication.

a)
5 ⋅ 0 = 5
b)

5 ⋅ 15\frac{1}{5}   = 1

c)
5 - 5 = 0
d)
5 ⋅ 1 = 5
4.

Identify the example of the

identity property of addition.

a)
a + (-a) = 0
b)

a + a = 2a

c)
a + 0 = a
d)
a + b = b + a
5.
Identify the property
a(b + c) = ab + ac
a)
Associative of addtion
b)
Distributive
c)
Commutative of addition
d)
Inverse
6.
Identify the property 
a + (-a) = 0
a)
Inverse of addition 
b)
Identity of addtion
c)
associative of addition 
d)
symmetric
7.

Identify the additive inverse of

-7

a)
-7
b)

17-\frac{1}{7}  

c)

17\frac{1}{7}  

d)
7
8.

Identify this property.

45 × 54 = 1\frac{4}{5}\ \times\ \frac{5}{4}\ =\ 1  

a)

Multiplicative Inverse

b)

Multiplicative Identity

c)

Commutative

d)

Associative

9.

Identify the example that represents the

Multiplicative Property of Zero.

a)

-9 x 0 = 0

b)

-9 + 9 = 0

c)

9 - 9 = 0

d)

9 + 0 = 9

10.

Identify this property.

23 + (23)=0\frac{2}{3}\ +\ \left(-\frac{2}{3}\right)=0  

a)

Additive Identity

b)

Additive Inverse

c)

Multiplicative Property of 0

d)

Multiplicative Inverse

11.
What property is this?
1a = a
a)
Commutative Property of Multiplication
b)
Multiplicative Inverse
c)
Multiplicative Identity
d)
Distributive Property
12.

Identify this property.

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

a)
Commutative
b)
Associative
c)
Additive Identity
d)
Distributive
13.

Classify the following:
64\sqrt{64}  

a)

Rational

b)

Irrational 

c)

Neither 

d)

Both 

14.

Classify the following:

34\frac{3}{4}  

a)

Rational

b)

Irrational

c)

Neither

d)

Both 

15.

Is the following rational?

2\sqrt{2}  

a)

Yes 

b)

No

c)

Sometimes

d)

Um... 

16.

Classify the following:
17-17  

a)

Rational 

b)

Irrational

c)

Neither

d)

Both 

17.

Classify the following:
π\pi  

a)

Rational 

b)

Irrational 

c)

Neither

d)

Both 

18.

Classify the following:

0.5250.525  

a)

Rational 

b)

Irrational 

c)

Neither

d)

Both 

19.

Which of the following numbers is not rational?

a)

3-3

b)

2.72.7

c)

4\sqrt{4}

d)

5\sqrt{5}

20.

Which of the following is an irrational number?

a)

0\sqrt{0}

b)

3\sqrt{3}

c)

1.361\overline{.36}

d)

0.19-0.19

21.

Which of the following number is rational?

a)

127\sqrt{127}

b)

π\pi

c)

2.52.5

d)

8.98763...8.98763...

22.
What is a rational number ?
a)
A rational number  is a number that cannot be written as a fraction.
b)
A rational number is a number that can be written as a ratio.
c)
A rational number cannot be a repeating  decimal.
23.
A fraction is which type of number?
a)
Rational
b)
Irrational
24.

Select all that apply that will classify the following number: -16

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

25.

Select all that apply that will classify the following number: 4

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

26.

Select all that apply that will classify the following number: -2.5

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

27.

Select all that apply that will classify the following number: 12\frac{1}{2}  

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

28.

Select all that apply that will classify the following number: 0.3333...

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

29.

Select all that apply that will classify the following number: -3

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

30.

Select all that apply that will classify the following number: 0

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

31.

Select all that apply that will classify the following number: 12-\frac{1}{2}  

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

32.

Select all that apply that will classify the following number: 8

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

33.

Select all: Natural Numbers

a)

4.5

b)

5

c)

-2

d)

0

e)

7,652

34.

Select all: Integers

a)

4.2

b)

4

c)

-4.2

d)

4/3

e)

-2

35.

Select all: Which categories does the number zero belong to?

a)

Rational number

b)

Integer

c)

Whole number

d)

Natural number

36.

Check all the numbers that are rational.

a)

36\sqrt{36}

b)

38-\frac{3}{8}

c)

4π4\pi

d)

200-200

37.

All whole numbers are also rational numbers

a)

True

b)

False

38.
8 + 2 ⋅ 7
a)
22
b)
70
c)
20
d)
42
39.
8 ÷ 8 + 6 × 2
a)
8
b)
13
c)
14
d)
23
40.
6 + (4)3
a)
18
b)
30
c)
13
d)
42
41.
2 + (9- 4)
a)
16
b)
77
c)
79
42.
True or false:
Addition ALWAYS comes before subtraction.
a)
True
b)
False
43.
Simplify:
[25-(13+4)+4] ÷ 3
a)
6
b)
2
c)
3
d)
4
44.

Which operation should you perform first in the expression 

4×634\times6-3  

a)

addition

b)

multiplication

c)

subtraction

d)

division

45.
What is the first step in solving this problem:
-12 ÷ 6 (-3) + 8
a)
multiplication
b)
addition
c)
division
d)
subtraction
46.
Evaluate 2a + 4b 
if a = 10     and    b = 6
a)
20
b)
24
c)
44
d)
4
47.
b2 + 4
when b = 3
a)
10
b)
12
c)
13
d)
11
48.

|21 + 9| − |4|

a)

30

b)

26

c)

-30

d)

-26

49.

|-11| -|- 8| + |−16|

a)

19

b)

-19

c)

13

d)

-13

50.

|9 - (−8)| − |12|

a)

5

b)

-5

c)

29

d)

-29