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algebra formulas and symbols quiz

Total questions: 77

Worksheet time: 1hrs 3mins

Name
Class
Date
1.

If every number in set B is also found in set A, but A has additional numbers that are not found in B, then set B is a __________ of set A

a)

Union

b)

Subset

c)

Intersection

d)

Combination

2.

set C = {6,9,4,2,0} and set D = {3,7,6,9,4,2,0,1}. is set C a subset of set D?

a)

Yes

b)

No

3.

Which one of these symbolizes a subset?

a)

 \subset  

b)

 \cup  

c)

 \cap  

d)

 ⊅\not\supset  

4.

  AB\ A\subseteq B  if and b are both separate sets, what does this equation mean

a)

A is a subset of B

b)

the sum of the numbers in set B is larger than the sum of the numbers in set A

c)

set A and set B are equal to each other (contain the same numbers)

d)

set B has more numbers than set A

5.

A set that is created by combining all of the numbers in two other sets is called a _____

a)

Intersection

b)

Union

c)

Subset

6.

Set A = {1,2,3,4}, set B = {5,6,7,8}, and set C = {1,2,3,4,5,6,7,8}. Is set C a union of set A and B?

a)

Yes

b)

No

7.

Set E= {2,4,6,7,9,1}, set B = {3,2,4,7,8,5}, and set C = {2,4,7}. is set C a union of set A and B?

a)

Yes

b)

No

8.

Which one of these symbolizes a union set?

a)

\cup

b)

\cap

c)

\subset

d)

\supset

9.

A set that consists of only the numbers that two (or more) other sets share is known as a _______

a)

Union

b)

Intersection

c)

Subset

10.

Which of these symbolizes an intersection?

a)

\subseteq

b)

\cup

c)

\cap

d)

\supset

11.

Set A = {3,4,7,8,9}, set B = {5,3,4,1,2}, and set C = {3,4,}. is set C an intersection of set B and A?

a)

Yes

b)

No

12.

Set F = {3,4,7,1,2}, set G = {3,4,5,8,9}, and set H = {3,4,5}. is set H an intersection of set F and G?

a)

Yes

b)

No

13.

TRUE or FALSE. If A = {a,e,i}, B= {c,d,e,}, and V = {a,e,i,o,u,}, then  AVA\subset V  

a)

TRUE 

b)

FALSE

14.

If A = {a,e,i}, B= {c,d,e,}, and V = {a,e,i,o,u,}, then what is  ABA\cup B  ?

a)

{a,e,i,c,d}

b)

{a,e,i,c,d,e}

c)

{a,e,i,o,u}

d)

{e}

15.

If A = {a,e,i}, B= {c,d,e,}, and V = {a,e,i,o,u,}, then what is  ABA\cap B  ?

a)

{a,e,i,c,d}

b)

{a,e,i,o,u}

c)

{e}

d)

{a,e}

16.

a (a)   is a collection of objects

17.

If every member of one set B is also a member of a second set A, then B is called a (a)   of A

18.

If A and B are two sets, the set that contains all members that are in sets A and B is called the (a)   of A and B

19.

If A and B are two sets, the set that contains all members that are present in both sets is called the (a)   of A and B.

20.

A real number is any number that can be expressed as a (a)  

21.

A (a)   is a letter that is used to represent a number

22.

the smallest prime number is (a)  

23.

all integers that are exactly divisible by two are called (a)   integers

24.

Natural numbers greater than 1 that are not prime are called (a)   numbers

25.

Fractions that repeat or terminate, such as  23,82, and 79\frac{2}{3},\frac{8}{2},\ and\ -\frac{7}{9}  are called (a)   numbers

26.

Irrational numbers are (a)   that don't repeat and don't terminate

27.

what does the symbol  \le  mean in the equation  aba\le b  ?

a)

a is greater than b

b)

a is less than b 

c)

a is equal to b

d)

a is less than or equal to b 

e)

b is less than or equal to a 

28.

On a number line, the (a)   numbers are to the left of 0

29.

The only integer that is neither positive nor negative is (a)  

30.

the associative property of addition states that (x+y) + z = ???? (THERE ARE TWO ACCEPTABLE ANSWERS HERE. Fill in your answer with proper parenthesis)

(a)  

31.

Use the distributive property to complete the statement: 5(m+2) = ????

(a)  

32.

the commutative property of multiplication states that xy = ???

(a)  

33.

The statement (m + n)p = p(m+n) illustrates the _____ property of _______ (answer contains two words, separate them with a comma)

(a)  

34.

The graph of an (a)   is a portion of a number line

35.

the graph of an OPEN interval has _____ endpoints

a)

1

b)

2

c)

3

d)

0

36.

The graph of a CLOSED interval has ______ endpoints

a)

1

b)

2

c)

3

d)

0

37.

The graph of a (a)   interval is has one endpoint

38.

Except for zero, the absolute value for every number is (a)  

39.

if N= the set of natural numbers and W= the set of whole numbers, is  NWN\subset W  a true statement?

a)

Yes, it is true 

b)

No, it is false

40.

The only difference between natural numbers and whole numbers is that whole numbers include (a)   , and natural numbers do not.

41.

TRUE or FALSE: Every natural number is a rational number, but not every rational number is a natural number.

a)

TRUE

b)

FALSE

42.

If Q= the set of rational numbers and N= The set of natural numbers, is QNQ\subset N  a true statement?

a)

Yes, it is true

b)

No, it is not true

43.

If Z= the set of integers, and W= the set of whole numbers, then is the equation WZW\subset Z  true?

a)

Yes, it is true

b)

No, it is not true

44.

If Q= the set of rational numbers, and R= the set of real numbers, then is the equation QRQ\subset R  true?

a)

Yes, it is true

b)

No, it is not true

45.

If Z=the set of integers and Q=the set of rational numbers, then is the equation ZQZ\subset Q  a true statement?

a)

Yes, it is true

b)

No, it is not true

46.

If R= the set of real numbers, and Z= the set of integers, is the equation RZR\subset Z  true?

a)

Yes, it is true

b)

No, it is not true

47.

Does the fraction 916\frac{9}{16}  terminate, or does it repeat infinitely? (use long division!)

a)

This fraction terminates

b)

This fraction repeats

48.

does the fraction 38\frac{3}{8}  terminate, or does it repeat infinitely?

a)

This fraction terminates

b)

this fraction repeats

49.

does the fraction 311\frac{3}{11}  terminate or does it repeat infinitely?

a)

The fraction terminates

b)

The fraction repeats

50.

Does the fraction 512\frac{5}{12}  terminate or does it repeat infinitely?

a)

This fraction terminates

b)

This fraction repeats

51.

Select all the natural numbers

a)

-5

b)

2

c)

0.5

d)

1

e)

52.

Select all the whole numbers

a)

0.5

b)

2

c)

-1

d)

0

e)

9.22222222

53.

Select all of the integers

a)

0.2

b)

-5

c)

1

d)

0

e)

12-\frac{1}{2}  

54.

which one of these is an irrational number?

a)

49\sqrt[]{49}  

b)

 25-\ \sqrt[]{25}  

c)

3\sqrt[]{3}  

d)

12\frac{1}{2}  

55.

Select all of the prime numbers

a)

3

b)

2

c)

4

d)

9

e)

7

56.

Select all of the composite numbers

a)

2

b)

4

c)

6

d)

13

e)

0

57.

Write the value of |13| without using absolute value symbols

(a)  

58.

Write the value of |-17| without using absolute value symbols

(a)  

59.

Write the value of |0| without using absolute value symbols

(a)  

60.

Write the value of -|63| without using absolute value equations.

(a)  

61.

What is the distance between 3 and 8 on a number line? (write your answer as a number)

(a)  

62.

What is the distance between -5 and 12 on a number line? (write your answer as a number)

(a)  

63.

What is the distance between -3 and -8 on a number line? (write your answer as a number)

(a)  

64.

What is the distance between 6 and -20 on a number line? (write your answer as a number)

(a)  

65.

finish solving this equation:   424^2 



(a)  

66.

Finish solving this equation:  (4)2\left(-4\right)^2  



(a)  

67.

Finish solving this equation:  53-5^3  



(a)  

68.

Finish solving this equation:  (5)3\left(-5\right)^3  



(a)  

69.

Write this equation without exponents:  3x43x^4  (use * to represent multiplication)



(a)  

70.

Write this equation without using exponents:  (3x)4\left(3x\right)^4  (use * to represent multiplication)



(a)  

71.

Finish solving this expression:  737^3  



(a)  

72.

finish solving this expression:  (3)2\left(-3\right)^2  



(a)  

73.

Write this expression without exponents:  5a35a^3  (use * to represent multiplication)



(a)  

74.

Write the expression without exponents:  (5a)4\left(5a\right)^4  



(a)  

75.

If m and n are natural numbers, then what is (xm)n\left(x^m\right)^n  equal to?

a)

 xmnx^{mn}  

b)

 xnynx^ny^n  

c)

 xnyn\frac{x^n}{y^n}  

76.

if m and n are natural numbers, then what is  \left(xy\right)^n  equal to?

a)

 xmnx^{mn}  

b)

 xnynx^ny^n  

c)

 xnyn\frac{x^n}{y^n}  

77.

if m and n are natural numbers, then what is  \left(\frac{x}{y}\right)^n  equal to?

a)

 xmnx^{mn}  

b)

 xnynx^ny^n  

c)

 xnyn\frac{x^n}{y^n}