WorksheetsA basic Algebra Quiz designed by Dr Indulal G
Total questions: 20
Worksheet time: 11mins
Which of the following symbols represents “is an element of”?
∈
⊆
⊃
∃
Which set is described by the rule { x: x < 6, x is a whole number}?
{0, 1, 2, 3, 4, 5}
{…, –3, –2, –1, 0, 1, 2, 3, 4, 5}
{…, –3, –2, –1, 1, 2, 3, 4, 5}
{ 1, 2, 3, 4, 5}
Which rule describes the set {…, – 3, – 2, – 1, 0, 1, 2}?
{ x: x < 3}
{ x: x < 3, x is a rational number}
{ x: x < 3, x is an integer}
{ x: x < 3, x is a whole number}
If the set A is described as { x: x < 5, x a whole number}, then which of the following statements is true?
-3 ∈ A
2 ∈ A
{4} ⊂ A
4 ⊂ A
Which of the following equations illustrates the distributive property of real numbers?
ab=ba
a(b+c)=ab+ac
a+b=b+a
a+-a=0
Which of the following is proof that the associative property is not true for subtraction?
4-3 = 3-4
4-(3-1) = (4-3)-1
4-(3-1) = (4-3)-(4-1)
4-(3-1) = (3-1)-4
Which of the following statements is true?
The distributive property involves addition outside the parentheses and multiplication inside the parentheses.
The commutative property applies to division.
Only addition and multiplication have the associative property.
Which of the following is a false statement?
a – ( b – c) = ( a – b) – c
a( b – c ) = ab – ac
( a + b) + c = a + ( b + c)
Which of the following illustrates the identity property for addition?
5 + (–5) = 0
7+0=7
What is the additive inverse of ?
3/4
-3/4
4/3
-4/3
Which one of the following sets is closed for addition?
the set of prime numbers
the set of positive odd integers
the set of positive even integers
The set of irrational numbers
If a # b = b # a for all possible values of a and b, then we would say that # has what property?
commutative
Associative
Distributive
All the above
Which of the following statements about functions and relations is always true?
A function is always a relation.
A relation is always a function.
A relation must have at least two ordered pairs.
Which of the following statements about the domain and range of a relation is always true?
The domain must always have at least two values.
The range must always have at least two values.
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.
Evaluate (–4 a2) for a = –3
144
-144
36
-36
3/0
0
Indeterminate
Infinite
Any real number
What is 0/0
0
1
infinity
cannot be determined
Which of the following is true
4X3X0X5=12X0
3/0= ∞
12X0=12 /0
0/0=0 or 1
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?
30
10
18
8
Let A ={1,2,3,4,5,6}. Then the number of subsets of A containing the element 3 is
5
25
32
64
