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A basic Algebra Quiz designed by Dr Indulal G

Total questions: 20

Worksheet time: 11mins

Name
Class
Date
1.

Which of the following symbols represents “is an element of”?

a)

∈\in

b)

⊆\subseteq

c)

⊃\supset

d)

∃\exists

2.

Which set is described by the rule { x: x < 6, x is a whole number}?

a)

{0, 1, 2, 3, 4, 5}

b)

{…, –3, –2, –1, 0, 1, 2, 3, 4, 5}

c)

{…, –3, –2, –1, 1, 2, 3, 4, 5}

d)

{ 1, 2, 3, 4, 5}

3.

Which rule describes the set {…, – 3, – 2, – 1, 0, 1, 2}?

a)

{ x: x < 3}

b)

{ x: x < 3, x is a rational number}

c)

{ x: x < 3, x is an integer}

d)

{ x: x < 3, x is a whole number}

4.

If the set A is described as { x: x < 5, x a whole number}, then which of the following statements is true?

a)

-3 ∈\in  A

b)

2  ∈\in  A

c)

{4} ⊂\subset  A

d)

4 ⊂\subset  A

5.

Which of the following equations illustrates the distributive property of real numbers?

a)

ab=ba

b)

a(b+c)=ab+ac

c)

a+b=b+a

d)

a+-a=0

6.

Which of the following is proof that the associative property is not true for subtraction?

a)

4-3 ≠\ne 3-4

b)

4-(3-1) ≠\ne (4-3)-1

c)

4-(3-1) ≠\ne (4-3)-(4-1)

d)

4-(3-1) ≠\ne (3-1)-4

7.

Which of the following statements is true?

a)

The distributive property involves addition outside the parentheses and multiplication inside the parentheses.

b)

The commutative property applies to division.

c)

Only addition and multiplication have the associative property.

8.

Which of the following is a false statement?

a)

a – ( b – c) = ( a – b) – c

b)

a( b – c ) = ab – ac

c)

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

9.

Which of the following illustrates the identity property for addition?

a)

5 + (–5) = 0

b)

7+0=7

c)
10.

What is the additive inverse of ?

a)

3/4

b)

-3/4

c)

4/3

d)

-4/3

11.

Which one of the following sets is closed for addition?

a)

the set of prime numbers

b)

the set of positive odd integers

c)

the set of positive even integers

d)

The set of irrational numbers

12.

If a # b = b # a for all possible values of a and b, then we would say that # has what property?

a)

commutative

b)

Associative

c)

Distributive

d)

All the above

13.

Which of the following statements about functions and relations is always true?

a)

A function is always a relation.

b)

A relation is always a function.

c)

A relation must have at least two ordered pairs.

14.

Which of the following statements about the domain and range of a relation is always true?

a)

The domain must always have at least two values.

b)

The range must always have at least two values.

c)

If all the ordered pairs in the relation are of the form ( x, y), then the domain is the set of all x's and the range is the set of all y's.

15.

Evaluate (–4 a2) for a = –3

a)

144

b)

-144

c)

36

d)

-36

16.

3/0

a)

0

b)

Indeterminate

c)

Infinite

d)

Any real number

17.

What is 0/0

a)

0

b)

1

c)

infinity

d)

cannot be determined

18.

Which of the following is true

a)

4X3X0X5=12X0

b)

3/0= ∞\infty

c)

12X0=12 /0

d)

0/0=0 or 1

19.

In a class of 40 students, 12 enrolled for both English and German. 22 enrolled for German. If the students of the class enrolled for at least one of the two subjects, then how many students enrolled for only English and not German?

a)

30

b)

10

c)

18

d)

8

20.

Let A ={1,2,3,4,5,6}. Then the number of subsets of A containing the element 3 is

a)

5

b)

25

c)

32

d)

64