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## AP Board 7th Class Maths Bits 9th Lesson Algebraic Expressions

Multiple Choice Questions :

Question 1.
If an expression has at least one algebraic term, then the expression is called an __________
(A) Algebraic expression
(B) Numerical expression
(C) Constant
(D) Variable
(A) Algebraic expression

Question 2.
Examples for an algebraic term is
(A) 2x2y
(B) – 3a
(C) $$\frac{5 \mathrm{~m}}{4}$$
(D) All of these
(D) All of these

Question 3.
Either a numerical or an algebraic factor of a product of both in term is called
(A) Algebra
(B) Factor
(C) Coefficient
(D) None
(C) Coefficient

Question 4.
Coefficient of 5×2 in 5x2y is
(A) 5
(B) x2
(C) x2y
(D) y
(D) y

Question 5.
Coefficient of 5y in 5x2y is __________
(A) y
(B) x2
(C) 5y
(D) 5x2
(B) x2

Question 6.
Coefficient of x2 in 5x2 is __________
(A) 5x2
(B) y
(C) 5y
(D) x2y
(C) 5y

Question 7.
The terms having the same algebraic factors are called __________
(A) Like terms
(B) Unlike terms
(C) Both A & B
(D) None
(A) Like terms

Question 8.
An expression with only one term is called __________
(A) Monomial
(B) Binomial
(C) Trinomial
(B) None
(A) Monomial

Question 9.
An expression which contains two un¬like terms is called a __________
(A) Monomial
(B) Binomial
(C) Trinomial
(D) None
(B) Binomial

Question 10.
Example for a Monomial
(A) 5x2y
(B) $$\frac{7}{3}$$ ab
(C) – 5x
(D) All of the above
(D) All of the above

Question 11.
Examples for a Trinomial are
(A) 5x + 3y – 4z
(B) a + $$\frac{b}{4}$$ + 3c
(C) l + m2n – lnm
(D) All of the above
(D) All of the above

Question 12.
In an expression, if the terms are arranged in such a way that the exponents of the terms are in descending order then the expression is said to be in __________
(A) simplified form
(B) standard form
(C) numerical form
(D) algebraic form
(B) standard form

Question 13.
The sum of two or more like terms is the sum of the __________ of all the like terms.
(A) algebraic terms
(B) algebraic coefficients
(C) numerical coefficients
(D) numerical terms
(C) numerical coefficients

Question 14.
The literal coefficient of-y is_______
(A) 1
(B) -1
(C) y
(D) -y
(C) y

Question 15.
Which of the following is a binomial?
(A) 15 × 6
(B) 8abc
(C) a – x
(D) 4x + y + z
(C) a – x

Question 16.
Which of the following is a numerical expression?
(A) x2 – z2 + yz
(B) l + m + n
(C) 2a2 + 3b2 – 5c
(D) 11 ÷ (5 – 6) ÷ 2
(D) 11 ÷ (5 – 6) ÷ 2

Question 17.
If A = 4x2 + y2 – 6xy;
B = 3y2 + 12x2 + 8yx then,
A – B = ________
(A) 8x2 – 2y2– 14xy
(B) -8x2 – 2y2 – 14xy
(C) -8x2 + 2y2 – 14xy
(D) -8x2 – 2y2 + 14xy
(B) -8x2 – 2y2 – 14xy

Question 18.
If x = 6,find $$\frac{3x}{2}$$ ________
(A) 9
(B) 18
(C) 36
(D) 12
(A) 9

Question 19.
If a number of boys is x and the number of girls Is twice the number of boys, then which of the following gives the number of girls?
(A) x + 2
(B) x – 2
(C) 2x
(D) x
(C) 2x

Question 20.
A = a2 + 2ab + b2 ; B = a2 – 2ab + b2,
(A) 2a2 + 2b2
(B) 4ab
(C) 2a2 + 4ab + 2b2
(D) 2a2 – 4ab + 2b2
(A) 2a2 + 2b2

Question 21.
If A = a2 + 2ab + b2;
B = a2 – 2ab + b2, then A – B =
(A) 4ab
(B) – 4ab
(C) 2a2 + 2b2
(D) 0
(A) 4ab

Question 22.
Which of the following expressions is a trinomial?
(A) 2x + 3y
(B) x
(C) x + y+ z
(D) x
(C) x + y+ z

Question 23.
A monomial in one variable is
(A) 2xy
(B) – 2xy
(C) 2x
(D) 2 + x
(C) 2x

Question 24.
(x + y) – (x – y) = ________
(A) 0
(B) 2x
(C) 2y
(D) – 2y
(C) 2y

Question 25.
The value of a+b+c when
a = 2,b = 3 ,c = -5 ________
(A) 0
(B) 10
(C) 5
(D) -10
(A) 0

Reasoning Questions

Question 1.
If SIXTH: TJYUI, then SEVENTH is ________
(A) TFWFOUI
(B) TJWJOUI
(C) TFXFOUI
(D) TFWFOVI
(A) TFWFOUI

Question 2.
If ADITYA = 60, then KISHORE = ________
(A) 55
(B) 65
(C) 75
(D) 85
(D) 85

Question 3.
If SRI = HIR, then SREEJA = ________
(A) HI WRY
(B) HIWQZ
(C) HIWSZ
(D) HITTQZ
(B) HIWQZ

Question 4.
If SOME = PUB, then BOOK = ________
(A) YLLH
(B) XJJG
(C) XKKG
(D) XKKH
(A) YLLH

Question 5.
If BANK = AZMJ, then MONEY = ________
(A) LNMDX
(B) LNMEY
(C) LNMDY
(D) LNMEX
(A) LNMDX

Question 6.
If CELL = 76, then PHONE = ________
(A) 76
(B) 77
(C) 79
(D) 78
(B) 77

Question 7.
If LIKE = IKEL, then KITE = ________
(A) TEKI
(B) IETK
(C) ITEK
(D) IKTE
(C) ITEK

Question 8.
If GUNTUR = HSORVP, then TENALI
(A) VCOYMG
(B) UCOZMG
(C) UCOYGMD
(D) UCOYMG
(D) UCOYMG

Question 9.
If DEN = IJS, then BARK = ________
(A) GFVP
(B) GFWP
(C) GFWQ
(D) GFXP
(B) GFWP

Question 10.
If BAD = 35, then GOOD = ________
(A) 205
(B) 200
(C) 215
(D) 210
(A) 205

Fill in the blanks :

Question 1.
If every term of an expression is a constant term, then the expression is called a ________
numerical expression

Question 2.
Example for a numerical term is a ________
$$\frac{6}{7}$$, 18, -9, 24, ………..

Question 3.
Numerical coefficient of 3xy is ________
3

Question 4.
Algebraic coefficient of 3xy is ________
xy

Question 5.
Coefficient of abc in – (abc) is ________
-1

Question 6.
Algebraic coefficient of – 1 in – (abc) is __________
abc

Question 7.
The terms having different algebraic factors are __________
unlike terms

Question 8.
An expression which contains three unlike terms is called a ________
Trinomial

Question 9.
An algebraic expression in which the exponent of variable is non-negative integer is called __________
Polynomial

Question 10.
Example for a Binomial is __________
a + b, x2 – y2, $$\frac{5 a}{3}+\frac{7 b}{4}$$, etc

Question 11.
Example for a polynomial is __________
a3b2, xy – 6, x + y + z

Question 12.
If no two terms of an algebraic expression are alike then, it is said to be __________
simplified form

Question 13.
The difference between two or more like terms is the difference between the __________ of the like terms.
numerical coefficients

Question 14.
The value of 3 abc when a = -1, b =-2, c = 0 is __________
0

Question 15.
If the number of terms in a polynomial is 2, it is called a ________
binomial

Question 16.
If n = 6, then the value of $$\frac{n(n+1)(2 n+1)}{6}$$ is __________
91

Question 17.
A polynomial having only one term is called __________
monomial

Question 18.
The numerical coefficient of – 3z is __________
– 3

Question 19.
The perimeter of a rectangle is __________ units.

22xy

Question 20.
If x = – 1, what is the value of x2 – 1 ? __________
0

Question 21.
What is the value of mn – nm if m = 3, n = 2 ? __________
1

Question 22.
What is the value of xy + 3y – 9 when x = 1, y = 2 is __________
-1

Question 23.
If x = 1, y = 2, then the value of x2y + xy2 = __________
6

Question 24.
The standard form of an expression 8 – 3x2 + 4x is __________
– 3x2 + 4x + 8

Question 25.
The number of terms in the expression – 5x2yz is __________
1

Match the following :

Question 1.

 Group A Group B 1. Monomial (A) x2 + 2xy + y2 2. Binomial (B) 5xy – 6y + 4zx + 7 – 5t 3. Trinomial (C) 2x + 3y 4. Polynomial (D) 4xyz 5. Numerical expression (E) (6 × 5) ÷ 3

 Group A Group B 1. Value of ab + ba when a = 2, b = 3 is ________ (A) $$\frac{-3}{2}$$ 2. (a + b) + (a – b) = ________ (B) 17 3. (a + b) – (a – b) = ________ (C) 2a 4. Numerical coefficient of $$\frac{-3}{2}$$ xy2z3 is ________ (D) 2b 5. The literal coefficient of $$\frac{7}{5}$$x is ________ (E) x (F) $$\frac{3}{2}$$ (G) -17
 Group A Group B 1. Value of ab + ba when a = 2, b = 3 is ________ (B) 17 2. (a + b) + (a – b) = ________ (C) 2a 3. (a + b) – (a – b) = ________ (D) 2b 4. Numerical coefficient of $$\frac{-3}{2}$$ xy2z3 is ________ (A) $$\frac{-3}{2}$$ 5. The literal coefficient of $$\frac{7}{5}$$x is ________ (E) x