Practice the AP 8th Class Maths Bits with Answers Chapter 11 Algebraic Expressions on a regular basis so that you can attempt exams with utmost confidence.

AP State Syllabus 8th Class Maths Bits 11th Lesson Algebraic Expressions with Answers

Question 1.
Which of the following is a monomial?
A) 2x + 3
B) $$\frac{-3}{4}$$ xy
C) cx2 + dx + e
D) $$\frac{5}{7}$$x – $$\frac{2}{3}$$y
B) $$\frac{-3}{4}$$ xy

Question 2.
The degree of 4xy2 z3
A) 4
C) 6
B) 2
D) 3
C) 6

Question 3.
The degree of 3x2 – 5 + 7x3 – 6x5
A) 5
B) 3
C) 2
D) -6
A) 5

Question 4.
If A = 5x2 + 3xy + 2y2, B = – 2y2 – 3xy + 4x2 then A + B = ………………..
A) 9x2 + 6xy
B) 4y2
C) x2 + 4y2 + 6xy
D) 9x2
D) 9x2

Question 5.
Which of the following is a group of like terms?
A) 2t, $$\frac{5 t}{2}, \frac{-6 s}{7}$$
B) x , 2x2, – 7x, 8x3
C) 6p, – 7p, $$\frac{5}{2}$$ p
D) 2y, $$\frac{-7}{3}$$x, 5t
C) 6p, – 7p, $$\frac{5}{2}$$ p

Question 6.
5x × (-3y) =
A) – 15xy
B) – 15x2y
C) 15xy
D) 2xy
A) – 15xy

Question 7.
The product of 5x, 6y and 7z
A) 210 (x + y + z)
B) 210 xyz
C) 18 xyz
D) 18 (x + y + z)
B) 210 xyz

Question 8.
(a + b)2 – (a – b)2 =
A) 2(a2 + b2)
B) a2 + b2
C) 4ab
D) 0
C) 4ab

Question 9.
The formula involved in the product of 302 × 298
A) (a + b)2
B) (a – b)2
C) (a + b) (a – b)
D) None
C) (a + b) (a – b)

Question 10.
(3m – 2n2) × (- 7 mn) …………………
A) – 21 m2 n + 14 mn3
B) 21 m2 n – 14 m2
C) – 21 mn2 + 14 m3 n
D) 21 m2 – 4 mn3
A) – 21 m2 n + 14 mn3

Question 11.
5x (6y + 3) = …………………..
A) 30x + 15
B) 30x – 15y
C) 3x + 15 y
D) 30xy + 15x
D) 30xy + 15x

Question 12.
The product of two monomials is a …………………….
A) Binomial
B) Monomial
C) 0
D) 4
B) Monomial

Question 13.
(5x + 6y) (3x – 2y) = ……………………
A) 8x2 – 8 xy
B) 15x2 + 3xy
C) 15x2 – xy
D) 15x2 + 8xy – 12y2
D) 15x2 + 8xy – 12y2

Question 14.
No. of terms in the product of a binomial and a trinomial are …………………
A) 10
B) 9
C) 6
D) 7
C) 6

Question 15.
(a + b)2 = ………………
A) a2 + b2
B) a2 – b2
C) 7
D) a2 + 2ab + b2
D) a2 + 2ab + b2

Question 16.
The symbol used for an equation identity is ……………….

C) ≡
D) =
C) ≡

Question 17.
(a + b) (a – b) = ………………..
A) a2 – b
B) b2 – a2
C) a2 – b2
D) a – b2
C) a2 – b2

Question 18.
(a – b)2 = ……………..
A) a2 – 2ab + b
B) a2 – ab + b2
C) a2 – 2a + b2
D) a2 – 2ab + b2
D) a2 – 2ab + b2

Question 19.
(x + a) (x + b) = …………………
A) x2 + (a + b) x + ab
B) x2 – (a-b) x – ab
C) x2 – ab
D) x + ab
A) x2 + (a + b) x + ab

Question 20.
If the equation is true for all values of the variables then it is called an ………………..
A) Equation
B) identity
C) Product
D) None
B) identity

Question 21.
The formula used in the product of 96 × 104 is ……………….
A) (a + b) (a – b)
B)(a – b)2
C) (a – b)2
D) a2 – b
A) (a + b) (a – b)

Question 22.
The formula used in the product of 1962 is …………………..
A) (a + b)2
B) (a – b)2
C) a2 – b
D) a – b2
B) (a – b)2

Question 23.
9872 – 132 = ………………….
A) 9,74,000
B) 79,400
C) 14,000
D) 14,009
A) 9,74,000

Question 24.
(4x + 5y) (4x – 5y) = ……………………..
A) x2 – 16y2
B) 16x2 – y2
C) 16x – 25
D) 16x2 – 25y2
D) 16x2 – 25y2

Question 25.
(a – b)2 – (a-b)2 = ……………….
A) 2ab
B) 0
C) ab
D) $$\frac{\mathrm{ab}}{2}$$
B) 0

Question 26.
a2 + b2 = ……………………
A) (a + b)2 – 2ab
B) a2 – b2
G) (a – b)2 + 4ab
D) None
A) (a + b)2 – 2ab

Question 27.
(a – b)2 + 4ab = ………………
A) (a – b)3
B) (a – b)2
C) (a + b)2
D) a2 – b
C) (a + b)2

Question 28.
(a – b)2 – (a + b)2 = ………………
A) 2a2 + b2
B) 0
C) 4ab
D) – 4ab
D) – 4ab

Question 29.
Degree of 3x2 y2 z3 is …………………
A) 2
B) 3
C) 7
D) 3
C) 7

Question 30.
The value of 2x3 – 2x2 + 1 at x = 1 is ………………
A) 4
B) -1
C) 3
D) 1
D) 1

Question 31.
a (a2 – b2) = ………………
A) a3 – b2 a
B) a – b2
C) a3 – b2
D) a – b3
A) a3 – b2 a

Question 32.
a (a-b) + b (b-c) + c (c – a) = ………………..
A) 0
B) a2 – b2
C) a2 + b2
D) a2 + b2 + c2 – ab – bc – ca
D) a2 + b2 + c2 – ab – bc – ca

Question 33.
83 × 77 = …………………
A) 3691
B) 6391
C) 6091
D) 1391
B) 6391

Question 34.
3042 = …………………….
A) 82,416
B) 92,416
C) 82,466
D) 93,416
B) 92,416

Question 35.
(m + n) (m – n) = ………………….
A) m – n2
B) m2 – n
C) m – n
D) None
D) None

Question 36.
9k2 + 24 kl + 16 l2 = ………………
A) (9 k + 3l)2
B) (3k + 4l) (3k + 4l)
C) (3 k – 4l)2
D) None
B) (3k + 4l) (3k + 4l)

Question 37.
abc × a2bc = ………………….
A) a2b2c2
B) abc2
C) a3b2c2
D) ab2c
C) a3b2c2

Question 38.
(P + q) (P2 – pq + q2) = ………………..
A) p3 + q
B) p – q2
C) p2 + q2
D) p3 + q3
D) p3 + q3

Question 39.
m3 + m2 n – n2 m – n3 = ………………..
A) (m2 – n2) (m + n)
B) (m – n) (m2 + n2)
C) (m + n) (m – 1)
D) None
A) (m2 – n2) (m + n)

Question 40.
– 5 p2 × – 2p = ………………
A) 10p3
B) 10p
C) – 10p3
D) – 8p3
A) 10p3

Question 41.
922 – 82 = ………………..
A) 1400
B) 1000
C) 8400
D) 8500
C) 8400

Question 42.
I = ………………..
A) $$\frac{\text { PTR }}{100}$$
B) $$\frac{P}{100 \mathrm{TR}}$$
C) $$\frac{100 \mathrm{~T}}{\mathrm{PR}}$$
D) $$\frac{100 \mathrm{I}}{\mathrm{PR}}$$
A) $$\frac{\text { PTR }}{100}$$

Question 43.
106 × 94 = ……………..
A) 9864
B) 9964
C) 9800
D) 9364
B) 9964

Question 44.
– 3x2 + 3x2 – 5x2 – x2 = …………….
A) x2
B) – 6x2
C) 3x2
D) 6x2
B) – 6x2

Question 45.
Identify like terms.
A) 3x2, 2x2, – x2
B) xy, xy2, – 3y2
C) pq, pq2, $$\frac {1}{2}$$pq
D) 8x2, 9y2, 2pq
A) 3x2, 2x2, – x2

Question 46.
(a + b)2 – (a – b)2 = ……………….
A) 2ab
B) 2bc
C) 4a2
D) None
D) None

Question 47.
The value of 3x + 5 at x = 1 is …………………..
A) 6
B) 8
C) 9
D) 10
B) 8

Question 48.
If a = 1, b = 2 then (a – b)2 = ………………..
A) – 1
B) 1
C) – 2
D) 3
B) 1

Question 49.
At x = $$\frac {1}{2}$$ the value of 2x – 1 is ……………….
A) 1
B) 0
C) -1
C) 2
B) 0

Question 50.
P = xy, Q = yz, R = zx then PQR = …………………
A) x2 y2 z2
B) xy2 z2
C) xy z
D) $$\frac{x^{2} y^{2}}{z^{2}}$$
A) x2 y2 z2

Question 51.
(5x2 – 6x + 9) (2x – 3) = ………………
A) 10x3 – 7x2 + 3x
B) 10x3 – 7x2 + x + 1
C) 10x3 – 27x2 + 7
D) 10x3 – 27x2 + 36x – 27
D) 10x3 – 27x2 + 36x – 27

Question 52.
(3x + 5y) (5x – 7y) = ……………………
A) 15x2 – 3y2
B) 15x2 + 4xy – 35y2
C) 15x2 – 4xy
D) 15x – 13xy2
B) 15x2 + 4xy – 35y2

Question 53.
Additive Inverse of 6x2 – 4x – 1 is ……………….
A) x2 – 6x + 1
B) – 6x2 + 4x – 3
C) x2 – 3x + 7
D) – 6x2 + 4x + 1
D) – 6x2 + 4x + 1

Question 54.
2x2 + 5x – 1 + 8x + x2 + 7 – 6x + 3 – 3x2 = ……………
A) 7x + 9
B) x – 7
C) x – 9
D) x + 3
A) 7x + 9

Question 55.
2a + b – (a – b) = ………………..
A) a – b
B) 2a – 2b
C) a + 2b
D) a – 2b
C) a + 2b

Question 56.
Degree of zero is ………………..
A) 0
B) -1
C) 3
D) not defined
D) not defined

Question 57.
Degree of constant is ………………
A) 0
B) 1
C) 2
D) -1
A) 0

Question 58.
(3x2 – 7x + 1) (4x – 4x) = ………………
A) 4x3 – x2 + 11
B) 0
C) 3x3 – 7x + 1
D) None
B) 0

Question 59.
(X – 1) (x + 1) = ………………
A) x2 + 1
B) x2 – 1
C) x – 1
D) x + 3
B) x2 – 1

Question 60.
Number of terms in a trinomial is ………………..
A) 0
B) 1
C) 2
D) 3
D) 3

Question 61.
(√a + √b)(√a – √b) = ………………….
A) a – b2
B) a – b
C) a2 – b
D) a + b
B) a – b

Question 62.
$$\left(\frac{\mathbf{a}}{3}+\frac{\mathbf{b}}{5}\right)\left(\frac{\mathbf{a}}{3}-\frac{\mathbf{b}}{5}\right)$$ = ……………….
A) $$\frac{a^{2}}{9}+\frac{b}{2}$$
B) $$\frac{\mathrm{a}^{2}}{9}$$ – 1
C) $$\frac{a^{2}}{9}-\frac{b^{2}}{25}$$
D) $$\frac{2 a}{3}-\frac{b}{3}$$
C) $$\frac{a^{2}}{9}-\frac{b^{2}}{25}$$

Question 63.
Number of terms in ax2 + bx + c is ……………….
A) 2
B) 3
C) 4
D) 1
B) 3

Question 64.
(a – b) (a2 + ab + b2) = ……………
A) a3 – b
B) a – b3
C) a2 – b2
D) None
D) None

Question 65.
(x + 3) (x + 2) =
A) x2 + 5x + 6
B) x2 – 5x – 6
C) x2 – 3x + 6
D) None
A) x2 + 5x + 6

Question 66.
9x2 – y2 = ………………
A) (3x + y) (3x – y)
B) (3x – 1) (3x – y)
C) (3x – y)(3x – 3)
D) None
A) (3x + y) (3x – y)

Question 67.
$$\frac{4 a^{2},-1}{2 a+1}$$ = ……………..
A) a – 1
B) a +1
C) 2a
D) 2a – 1
D) 2a – 1

Question 68.
(3x2 – 7x + 9) ÷ 0
A) 0
B) 3x2 – 9
C) 9x
D) Not defined
D) Not defined

Question 69.
m3 (m – 2) + 2m2 (m + 3) – 6m (m – 4) = ………………..
A) m – 24m2
B) m2 + 24m
C) m2 + 2m
D) m + 4m2
B) m2 + 24m

Question 70.
Cube of (a + 1) is = …………………
A) a2 + 1
B) a + 2a + 1
C) a + 3a + 3
D) 3a – 3
C) a + 3a + 3

Question 71.
(99)2 = ……………..
A) 1145
B) 8900
C) 9800
D) 9801
D) 9801

Question 72.
9.8 × 10.2 = ……………….
A) 39.55
B) 91.99
C) 99.96
D) 96.99
C) 99.96

Question 73.
(84)2 – (16)2 = …………..
A) 3600
B) 6100
C) 6800
D) 6900
C) 6800

Question 74.
1010 × 990 = ………………..
A) 999900
B) 99099
C) 99000
D) 98900
A) 999900

Question 75.
(705)2 – (295)2 = ………………
A) 23000
B) 13000
C) 140000
D) 410000
D) 410000

Question 76.
(x + 1) (x – 1) (x2 + 1) = ……………..
A) x4 – 1
B) x2 – 1
C) 4x – 1
D) x + 1
A) x4 – 1

Question 77.
8x = (52)2 – (48)2 then x = ………………..
A) 12
B) 50
C) 9
D) 26
B) 50

Question 78.
13x = (85)2 – (84)2 then x = ……………….
A) 16
B) 11
C) 13
D) 10
C) 13

Question 79.
(11 + x)(11 – x) = ……………….
A) 121 – x2
B) 121 – x
C) 12 – x3
D) 3x – 4
A) 121 – x2

Question 80.
113 = …………………
A) 1221
B) 1331
C) 1441
D) 1113
B) 1331

Question 81.
(x + $$\frac{1}{x}$$)2 = ………………….
A) x + $$\frac{1}{2 x}$$
B) x – $$\frac{1}{\mathrm{x}^{2}}$$
C) 3x – $$\frac{1}{\mathrm{x}^{2}}$$
D) x2 + 2 + $$\frac{1}{\mathrm{x}^{2}}$$
D) x2 + 2 + $$\frac{1}{\mathrm{x}^{2}}$$

Question 82.
(7xy – 1) (7xy + 1) = ………………….
A) 49x2 y2 – 1
B) 49xy- 1
C) 49xy2 – 1
D) 9xy -1
A) 49x2 y2 – 1

Question 83.
The product of two positive numbers is ………………….
A) 0
B) -1
C) Negative
D) Positive
D) Positive

Question 84.
3x2y × 4xy2 × 7x3y3 = ……………. …………………
A) 84x6y6
B) 48y6
C) 41xy6
D) 40x6y6
A) 84x6y6

Question 85.
The sum of all exponents of variables in a monomial is called ……………… of the
monomial.
A) Expression
B) Degree
C) Like
D) None
B) Degree

Question 86.
Degree of the trinomial 3xy + 4y – 8 is ……………..
A) 2
B) 4
C) 3
D) – 8
A) 2

Question 87.
5x × 6y × 7z =
A) 2xy
B) 105xy
C) 120x
D) 210xy
D) 210xy

Question 88.
In a cuboid l = 2x, b = 3y, h = 4z then volume, v = ………………….
A) 3xyz
B) 2xy
C) 4xyz
D) 24xyz
D) 24xyz

Question 89.
The property used in a(b + c) = ab + ac is ………………..
A) Identity
B) Distributive
C) Commutative
D) None
B) Distributive

Question 90.
How many terms are there in the product of a binomial and trinomial ?
A) 4
B) 10
C) 9
D) None
D) None

Question 91.
a(a + 1) = 6 then a = ………………..
A) 2
B) – 3
C) A&B
D) None
C) A&B

Question 92.
a2 + b2 + c2 + 2ab + 2bc + 2ca = ……………….
A) (a + b + c)2
B) (a – b – c)2
C) (2a – b – c)2
D) (a – b)2
A) (a + b + c)2

Question 93.
1962 – (194 + 2)2 = ………………
A) 16
B) 19
C) 10
D) 0
D) 0

Question 94.
9672 = …………………
A) 93 × 004
B) 93 × 102
C) 83 × 104
D) 93 × 107
A) 93 × 004

Question 95.
The area of adjacent square is …………………

A) 2a4
B) 2a2
C) ($$\frac{a}{2}$$)2
D) 4a2
D) 4a2

Question 96.
a (a – b) + b (a – b) = ………………..
A) a2 – b
B) a2 – b2
C) a – b2
D) $$\frac{a}{2}$$ – b
B) a2 – b2

Question 97.
a2 – b2 = (a + b) (a – b) is a ……………….
A) Identity
B) Area
C) Place
D) None
A) Identity

Question 98.
(x + a) (x – b) = ………………….=
A) x2 + ax – bx – ab
B) x2 + (a + b) x – ab
C) x2 – ax – ab
D) None
A) x2 + ax – bx – ab

Question 99.
1012 – 1012 = ……………..
A) 101
B) 202
C) 0
D) 401