Deck 1: Review of Algebra

Question 1

0 is an integer.

Answer 1

True

Question 2

is an integer.

Answer 2

False

Question 3

What property of real numbers allows us to write a(b + c)= a(c + b)?

A) commutative
B) distributive
C) identity
D) associative
E) none of the above

Answer 3

commutative

Question 4

How many of the following statements are correct?
I.-4 is a rational number
II.
Is an integer
III.0 is an integer
IV.
Is a rational number

A) exactly one of them
B) exactly two of them
C) exactly three of them
D) all of them
E) none of them

Question 5

State the property of real numbers that is being used: (4 + x)+ y = 4 + (x + y)

Question 6

Given the numbers 4,-7, ,π,0,- 0.2,how many are irrational?

A) exactly one
B) exactly two
C) exactly three
D) exactly four
E) none of the above

Question 7

Find the negative of 3.

Question 8

Given the numbers 4,
,
,π,0,- 0.2,list those that are integers.

Question 9

State the property of real numbers that is being used: 2(ab)= (2a)b

Question 10

State the property of real numbers that is used in the equality (e + a)b = e × b + a × b.

Question 11

State the property of real numbers that is being used: 4(x + y)= 4x + 4y

Question 12

-
is greater than 0.

Question 13

.212121...is a rational number.Please explain why this is true or false.

Question 14

State the property of real numbers that is being used: 7 + ab = ab + 7

Question 15

is an irrational number.

Question 16

Given the numbers 4,-7,
,π,0,- 0.2,list those that are rational.

Question 17

The negative of -2 is

A)
B) -
C) 2.
D) -2.
E) none of the above

Question 18

6 is a rational number.

Question 19

Find the reciprocal of 3.

Question 20

π/2 is a rational number.

Question 21

What property of real numbers allows us to write (e + a)b = eb + ab?

A) closure
B) commutative
C) associative
D) distributive
E) none of the above

Question 22

Simplify:

Question 23

Simplify: 4 ÷ (-2)

Question 24

Simplify:
+

Question 25

Simplify:
+

Question 26

Simplify: 7(x - 2)

Question 27

Simplify:
-

Question 28

Simplify: (-15)÷ (-5)

Question 29

Simplify: -(4 - x)

Question 30

Simplify: -3 + 8

Question 31

Simplify: (-4)(-2)

Question 32

Simplify: (7x)

Question 33

Simplify: -4 - (-10)

Question 34

Simplify:

Question 35

Simplify: (-3)(6)

Question 36

Simplify: -6 - 2

Question 37

Simplify:
+

Question 38

Simplify:
∙

Question 39

Simplify: 0(2 + x)

Question 40

Simplify:

Question 41

Simplify:

Question 42

Evaluate:

Question 43

Evaluate:

Question 44

4 =

A) -8
B) -38
C) -68
D) -88
E) -200

Question 45

Simplify: 7 ÷

Question 46

-
=

A)
B) -
C)
D) -
E) -

Question 47

Simplify: (-4)÷ (-2 - 10)

Question 48

Evaluate:

Question 49

Simplify:

Question 50

Simplify:
÷

Question 51

-9 - (-3)=

A) 6
B) -6
C) 10
D) 12
E) -12

Question 52

Simplify:
-

Question 53

Simplify: -2(3 - 5x)

Question 54

Simplify:

Question 55

-3(x - y)=

A) -3x + 3y
B) 3x - 3y
C) -3x - 3y
D) 3x - y
E) -3x + y

Question 56

=

Question 57

+
=

A) 1
B)
C)
D)
E)

Question 58

Simplify:

Question 59

-2 + (-7)=

A) -5
B) 5
C) 14
D) 9
E) -9

Question 60

Simplify:

Question 61

Simplify:

Question 62

Simplify:
³

Question 63

Evaluate: (
)

Question 64

Simplify:

(3
)

Question 65

Evaluate:

Question 66

Evaluate:

Question 67

Simplify and express your answer in terms of positive exponents:

Question 68

Evaluate:

Question 69

Evaluate:

Question 70

Simplify:

Question 71

Evaluate:

Question 72

Simplify:

Question 73

Evaluate:

Question 74

Evaluate:

Question 75

Simplify and express your answer in terms of positive exponents:

Question 76

Simplify:

Question 77

Simplify:

Question 78

Simplify and express your answer in terms of positive exponents:

Question 79

Evaluate:

Question 80

Simplify: