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Algebric Expressions
1.
The set of numbers whose elements can be replaced by a variable �x� is called a ____________set.
a) Monomial
b) Domain
c) Exponent
2.
A constant number which is multiplied with a variable is called ____________ of that variable.
a) Exponent
b) Co-efficient
c) Terms
3.
In 4x
^{2}
, 2 is called ____________ of the variable x.
a) Monomial
b) Terms
c) Exponent
4.
The different parts of an algebraic expression joined by the operations of addition or subtraction are called ____________ of an algebraic expression.
a) Terms
b) Integer
c) Sum
5.
If all the coefficients in a polynomial are zero then the polynomial is called the _____________ polynomial.
a) Two
b) One
c) Zero
6.
A polynomial having degree 1 is called ________________ polynomial.
a) Linear
b) Rational
c) Integer
7.
An expression of the form P(x), where P(x) and Q(x) are
¹
0 is called a ___________ expression. Q(x).
a) Additive Inverse
b) Rational
c) Quadratic
8.
If a polynomial has only one term, it is called a _______________.
a) Quadratic
b) Additive Inverse
c) Monomial
9.
If P(x) = 3x
^{2}
-3x - 6, then P(2) = _______________.
a) 1
b) 0
c) 2
10.
If X = 2a
^{3}
- 3a
^{2}
-2a + 2, then 3X = _____________________.
a) 6a
^{3}
- 9a
^{2}
- 6a + 6
b) 6a
^{2}
- 9a
^{2}
- 6a + 6
c) 6a
^{3}
- 9a
^{2}
- 6a + 8
11.
If the sign of two terms, which are to be multiplied, is negative, then sign of their product is ________________.
a) Negative
b) Positive
12.
If P(x) is exactly divisible by x-a, then x = a is called __________ of the polynomial P(x).
a) Root
b) Integer
c) Additive Inverse
13.
When one expression is exactly divisible by another, the remainder is ____________.
a) Two
b) One
c) Zero
14.
(a + b) (a
^{2}
-ab +b
^{2}
) = ___________________.
a) a
^{2}
+ b
^{3}
b) a
^{3}
+ b
^{3}
c) a
^{3}
+ b
^{2}
15.
Degree of 4x
^{3}
y
^{2}
+ 5y
^{4}
+ 5x
^{4}
is _________________.
a) 4
b) 5
c) 6
d) 3
16.
If x + 1/x = -1, then x
^{2}
+ 1/x
^{2}
= ____________________.
a) 1
b) -2
c) -1
17.
When a polynomial P(x) is exactly divided by another polynomial Q(x), then Q(x) is called a __________ of (P(x)
a) Root
b) Factor.
c) Sum
18.
The product of two polynomial is a polynomial whose degree is equal to the ______________ of the degrees of two polynomial.
a) Exponent
b) Sum
c) Rational
19.
If the sum of two polynomials is zero then they are called ______________ of each other.
a) Additive Inverse
b) Exponent
c) Domain
20.
3x - 2y + 4 is a polynomial with coefficient as _______________ numbers.
a) Domain
b) Integer
c) Rational
21.
A polynomial of degree 2 is called _______________ polynomial.
a) Domain
b) Quadratic
c) Rational
22.
In irrational expressions, the exponents of the variables are ______________.
a) Fraction.
b) Co-efficient
c) Monomial
23.
Ö
x _ 1/
Ö
x is a polynomial.
a) False
b) True
24.
Every polynomial is a rational expression.
a) True
b) False
25.
The expression 8x
^{3}
- 7x
^{2}
+ 5x - 7 is written in decending order.
a) False
b) True
26.
A polynomial consisting of two terms is called a Trinomial
a) True
b) False
27.
The degree of 6x
^{3}
+ y
^{3}
+ 3x
^{7}
y + xy
^{2}
is 7.
a) False
b) True
28.
x
^{2}
y is a polynomial in two variables.
a) False
b) True
29.
Division is the reverse process of multiplication.
a) False
b) True
30.
The sign of the terms is not changed when subtracted.
a) True
b) False
31.
(x-3) is a factor of polynomial (x
^{2}
-5x+6).
a) True
b) False
32.
If x
^{3}
+x
^{2}
-2 is divided by �x-1� then remainder is 1.
a) True
b) False
33.
(a+b)
^{2}
= (a-b)
^{2}
+ 4ab
a) False
b) True
34.
The product of 6x
^{3}
and -5x
^{4}
is -30x
^{7}
a) False
b) True
35.
If P=3x
^{2}
-2x and Q=4x
^{2}
-3 then P-Q= x
^{2}
+2x-3.
a) False
b) True
36.
If X= a+b, Y= a-b then XY= a
^{2}
- b
^{2}
a) True
b) False
37.
The additive inverse of x + y is x - y.
a) False
b) True
38.
5x
^{3}
+ 7x
^{2}
+3 is a cubic polynomial.
a) False
b) True
39.
A quantity which remains same through out the problem is called constant.
a) True
b) False
40.
In 5x
^{3}
+6x
^{3}
y
^{2}
+2xy, the coefficient of the term of highest degree is 5.
a) True
b) False
41.
6x
^{4}
y
^{2}
= 2x
^{2}
y
^{2}
3x
^{2}
y
^{4}
a) False
b) True
42.
The product of (
Ö
x +
Ö
y) and (
Ö
x -
Ö
y) is (x-y)
a) False
b) True
43.
Every polynomial is a rational expression but every rational expression is not a polynomial expression.
a) False
b) True
44.
An expression consisting of two or more than two terms is called a __________ expression.
a) Trinomial
b) Compound
c) Monomial
d) Binomial
45.
The degree of 5x
^{3}
yz
^{5}
is ____________.
a) 9
b) 5
c) 1
d) 3
46.
x
^{3}
+x/y + x + y
^{2}
/x +y is ________________.
a) Polynomial
b) Irrational Expression
c) Both rational & Irrational
d) Rational Expression
47.
x
^{2}
y
^{2}
+y
^{2}
+yz+a is a polynomial of ______________ variable.
a) 3
b) 4
c) 1
d) 2
48.
Ö
3 x
^{2}
- x + 7 is a polynomial with coefficients as ___________ numbers.
a) Real Numbers
b) Natural Numbers
c) Irrational numbers
d) Rational Numbers
49.
If a+b = 5, a-b=3 then 4ab= ________________.
a) 8
b) 2
c) 16
d) 34
50.
An algebraic expression consisting of one or more terms, in each of which exponent of variable is zero or positive integer, it is called _______________.
a) Polynomial
b) Irrational Expression
c) Monomial
d) Rational Expression
51.
If a=1, b=1, c=2 then the value of 3a
^{2}
+2b
^{2}
+c /2 is _______________.
a) 6
b) 3
c) 4
d) 5
52.
If a+b=3, a-b=2 then a
^{2}
-b
^{2}
= _____________
a) 2
b) 6
c) 5
d) 13
53.
The expression xy + y
^{2}
z /x + xz + 4 is ______________.
a) Polynomial of 2 variables
b) Polynomial of 4 variables
c) Not a polynomial
d) Polynomial of 1 variable
e) Polynomial of 3 variables
54.
What will be added to complete the square of y
^{2}
+16 is _______________.
a) 2y
b) 4y
c) 8y
d) 6y
55.
If a /d x + b /c= 0, then x = _____________
a) -ac/bd
b) -b/c + a/d
c) -b/c
d) a/d
e) � bd/ac
56.
According to _______________, ab = ba.
a) Closure property
b) Associative Property
c) Distributive property
d) Commutative property
57.
If (x-1) is a factor of (x
^{3}
+ x
^{2}
- 10x + 8) then remainder is ________.
a) 2
b) 1
c) -1
d) 0
58.
(6-
Ö
2) (6 +
Ö
2) = _____________.
a) 32
b) -4
c) 4
d) 34
59.
If x+y = 3, xy=2 then x
^{2}
+ y
^{2}
a) -5
b) 2
c) 1
d) 13
e) 5
60.
2
^{4}
= ________________.
a) 2
^{6}
b) 2
^{2}
c) 2
^{8}
d) 2
^{16}
61.
(x+2) (x-3) = _________________.
a) x2-x-6
b) x
^{2}
+5x-6
c) x
^{2}
+x+6
d) x
^{2}
+x-6
62.
If product of two polynomial is x
^{2}
- 5x + 6 and one polynomial is x-2, then other is __________.
a) x+4
b) x-3
c) x+3
d) x-4
63.
If X = a
^{2}
-b
^{2}
, Y= a
^{2}
+b
^{2}
then 2xy = ________________
a) 2(a
^{4}
+b
^{4}
)
b) 4(a
^{4}
+b
^{4}
)
c) a
^{4}
-b
^{4}
d) 2(a
^{4}
-b
^{4}
)
64.
3x
^{2}
a) Monomial
b) Polynomial of 2 variables
c) Irrational Expression
d) Linear Polynomial
65.
1 /
Ö
x+2
a) Irrational Expression
b) Polynomial of 3 variable
c) Rational Expression
d) Trinomial
66.
x
^{2}
+1/ x
a) Rational Expression
b) Trinomial
c) Monomial
d) Polynomial of 2 variables
67.
3x+4
a) Irrational Expression
b) Polynomial of 3 variable
c) Linear Polynomial
d) Trinomial
68.
x
^{2}
+yz
a) Polynomial of 2 variables
b) Linear Polynomial
c) Polynomial of 3 variable
d) Irrational Expression
69.
a
^{3}
+b
^{3}
+c
^{3}
-3abc
a) (a+b+c) (a
^{2}
+b
^{2}
+c
^{2}
-ab-bc-ca)
b) a
^{2}
+ b
^{2}
+ c
^{2}
+2(a+b+c)
c) (a+b)
^{3}
� 3ab(a+b)
d) (a+b)
^{3}
+ 3ab(a+b)
70.
(a+b+c)
^{2}
a) (a+b)
^{3}
+ 3ab(a+b)
b) (a+b+c) (a
^{2}
+b
^{2}
+c
^{2}
-ab-bc-ca)
c) a
^{2}
+ b
^{2}
+ c
^{2}
+2(a+b+c)
d) (a+b)
^{3}
� 3ab(a+b)
71.
(a+b) (a-b) (a
^{2}
+b
^{2}
)
a) a
^{4}
- b
^{4}
b) (a+b)
^{2}
- 4ab
c) a
^{4}
+ b
^{4}
d) (a+b+c) (a
^{2}
+b
^{2}
+c
^{2}
-ab-bc-ca)
72.
(a-b)
^{2}
a) (a+b)
^{3}
� 3ab(a+b)
b) a
^{2}
+ b
^{2}
+ c
^{2}
+2(a+b+c)
c) a
^{4}
- b
^{4}
d) (a+b)
^{2}
- 4ab
73.
a
^{3}
+b
^{3}
a) (a+b)
^{3}
+ 3ab(a+b)
b) a
^{4}
- b
^{4}
c) (a+b)
^{3}
� 3ab(a+b)
d) (a+b)
^{2}
- 4ab
74.
3x
a) 8 degree polynomial
b) Polynomial with coefficient as natural numbers.
c) Polynomial with one variable
d) One degree polynomial
75.
x+1/x
^{2}
a) Rational Expression
b) Polynomial with one variable
c) One degree polynomial
d) Irrational Expression
76.
9y+3x+4
a) One degree polynomial
b) Polynomial with coefficient as natural numbers.
c) Polynomial with one variable
d) Rational Expression
77.
Ö
y + 1/
Ö
y
a) Rational Expression
b) One degree polynomial
c) 8 degree polynomial
d) Irrational Expression
78.
6x
^{3}
+y
^{3}
+3x
^{7}
y-xy
^{2}
a) 8 degree polynomial
b) One degree polynomial
c) Rational Expression
d) Polynomial with one variable
79.
(xy � 1 ) (x
^{2}
y
^{2}
+1+ 1/ xy ) x
^{2}
y
^{2}
a) 2x
^{3}
b) x
^{3}
y
^{3}
� 1/ x
^{3}
y
^{3}
c) - 2x
^{2}
d) x
^{3}
+ 9x +8
80.
x + 1/x = 2
a) 2x
^{3}
b) x
^{3}
y
^{3}
� 1/ x
^{3}
y
^{3}
c) x
^{2}
+1/ x
^{2}
= 2
d) x
^{3}
+ 9x +8
81.
(x+8) (x+1)
a) - 2x
^{2}
b) x
^{2}
+1/x
^{2}
= 2
c) 2x
^{3}
d) x
^{3}
+ 9x +8
82.
(-8x
^{5}
) �(-4x
^{3}
)
a) x
^{2}
+1/x
^{2}
= 2
b) 2x
^{3}
c) - 2x
^{2}
d) x
^{3}
+ 9x +8
83.
x+1/ x = 3
a) 2x
^{3}
b) x
^{3}
+1/ x
^{3}
= 18
c) x
^{3}
+ 9x +8
d) - 2x
^{2}
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