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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) 2x^{2}y

(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) x^{2}

(C) x^{2}y

(D) y

Answer:

(D) y

Question 5.

Coefficient of 5y in 5x^{2}y is __________

(A) y

(B) x^{2}

(C) 5y

(D) 5x^{2}

Answer:

(B) x^{2}

Question 6.

Coefficient of x^{2} in 5x^{2} is __________

(A) 5x^{2}

(B) y

(C) 5y

(D) x^{2}y

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) 5x^{2}y

(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 + m^{2}n – 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) x^{2} – z^{2} + yz

(B) l + m + n

(C) 2a^{2} + 3b^{2} – 5c

(D) 11 ÷ (5 – 6) ÷ 2

Answer:

(D) 11 ÷ (5 – 6) ÷ 2

Question 17.

If A = 4x^{2} + y^{2} – 6xy;

B = 3y^{2} + 12x^{2} + 8yx then,

A – B = ________

(A) 8x^{2} – 2y^{2}– 14xy

(B) -8x^{2} – 2y^{2} – 14xy

(C) -8x^{2} + 2y^{2} – 14xy

(D) -8x^{2} – 2y^{2} + 14xy

Answer:

(B) -8x^{2} – 2y^{2} – 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 = a^{2} + 2ab + b^{2} ; B = a^{2} – 2ab + b^{2},

(A) 2a^{2} + 2b^{2}

(B) 4ab

(C) 2a^{2} + 4ab + 2b^{2}

(D) 2a^{2} – 4ab + 2b^{2}

Answer:

(A) 2a^{2} + 2b^{2}

Question 21.

If A = a^{2} + 2ab + b^{2};

B = a^{2} – 2ab + b^{2}, then A – B =

(A) 4ab

(B) – 4ab

(C) 2a^{2} + 2b^{2}

(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, x^{2} – y^{2}, \(\frac{5 a}{3}+\frac{7 b}{4}\), etc

Question 11.

Example for a polynomial is __________

Answer:

a^{3}b^{2}, 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.

Answer:

22xy

Question 20.

If x = – 1, what is the value of x^{2} – 1 ? __________

Answer:

0

Question 21.

What is the value of m^{n} – 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 x^{2}y + xy^{2} = __________

Answer:

6

Question 24.

The standard form of an expression 8 – 3x^{2} + 4x is __________

Answer:

– 3x^{2} + 4x + 8

Question 25.

The number of terms in the expression – 5x^{2}yz is __________

Answer:

1

Match the following :

Question 1.

Group A | Group B |

1. Monomial | (A) x^{2} + 2xy + y^{2} |

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) x^{2} + 2xy + y^{2} |

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 \(\frac{-3}{2}\) xy^{2}z^{3} 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 \(\frac{-3}{2}\) xy^{2}z^{3} is ________ |
(A) \(\frac{-3}{2}\) |

5. The literal coefficient of \(\frac{7}{5}\)x is ________ | (E) x |