AP 7th Class Maths Bits 9th Lesson Algebraic Expressions

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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
Answer:
(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
Answer:
(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
Answer:
(C) Coefficient

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

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

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

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

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

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

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

Question 15.
Which of the following is a binomial?
(A) 15 × 6
(B) 8abc
(C) a – x
(D) 4x + y + z
Answer:
(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
Answer:
(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
Answer:
(B) -8x² – 2y² – 14xy

Question 18.
If x = 6,find \(\frac{3x}{2}\) ________
(A) 9
(B) 18
(C) 36
(D) 12
Answer:
(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
Answer:
(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
Answer:
(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
Answer:
(A) 4ab

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

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

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

Reasoning Questions

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

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

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

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

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

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

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

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

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

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

Fill in the blanks :

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

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

Question 3.
Numerical coefficient of 3xy is ________
Answer:
3

Question 4.
Algebraic coefficient of 3xy is ________
Answer:
xy

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Question 19.
The perimeter of a rectangle is __________ units.
AP 7th Class Maths Bits 9th Lesson Algebraic Expressions 1
Answer:
22xy

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

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

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

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

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

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

Answer:

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

Question 2.

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

Answer:

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