Practice the AP 7th Class Maths Bits with Answers Chapter 10 Algebraic Expressions on a regular basis so that you can attempt exams with utmost confidence.

## AP State Syllabus 7th Class Maths Bits 10th Lesson Algebraic Expressions with Answers

I. Choose the correct answer.

Question 1.

The literal coefficient of-y is

A) 1

B) -1

C) y

D) -y

Answer:

C) y

Question 2.

The numerical coefficient of -3z is

A) -3

B) 3

C) z

D) -z

Answer:

A) -3

Question 3.

No. of terms in the expression (19 × 5) ÷ 16

A) 1

B) 2

C) 3

D) 4

Answer:

A) 1

Question 4.

Which of the following is a numerical expression?

A) 1 + 2 – 9

B) 9 + (6 – 4)

C) -3 – 5

D) x – \(\frac {11}{3}\)

Answer:

D) x – \(\frac {11}{3}\)

Question 5.

Which of the following is a binomial?

A) 19 × 4

B) 7xyz

C) x – 4a

D) 3x + y – z

Answer:

C) x – 4a

Question 6.

The degree of the monomial 9xy^{2}z^{3} is

A) 7

B) 6

C) 5

D) 9

Answer:

B) 6

Question 7.

The degree of the algebraic expression ax^{2} + bx + c is

A) 2

B) 1

C) 3

D) 4

Answer:

A) 2

Question 8.

Sum of 18ab,-5ab, 12ab is

A) 25ab

B) 26ab

C) 30ab

D) 20ab

Answer:

A) 25ab

Question 9.

Subtract 6x^{2}y from 4x^{2}y

A) -2x^{2}y

B) 2x^{2}y

C) 10x^{2}y

D) -10x^{2}y

Answer:

A) -2x^{2}y

Question 10.

Which of the following are like terms?

A) { – 2 xy^{2},5y^{2} x}

B) {7p, – 2p, 3p}

C) {4 xyz, – 5x^{2} yz}

D) {lmn^{2}, l^{2}mn. lm^{2}n}

Answer:

B) {7p, – 2p, 3p}

Question 11.

Which of the following are not like terms?

Answer:

C) {lm, mn, ln}

Question 12.

Which of the following is a Numerical Expression?

A) xy – z^{2} + yz

B) 2 + m + n

C) 9 + 11a^{2} – 5b^{2}

D) 11 ÷ (5 – 6) + 2

Answer:

D) 11 ÷ (5 – 6) + 2

Question 13.

Which of the following is Algebraic Expression?

A) 96

B) 95 ÷ 11 × 3

C) 2 + m + n

D) – 30 + (16 ÷ 4)

Answer:

C) 2 + m + n

Question 14.

The degree of a monomial \(\frac {-5}{2}\) xy^{2} z^{3} is?

A) 7

B) 2

C) 3

D) 6

Answer:

D) 6

Question 15.

The degree of a monomial \(\frac {-15}{19}\) l^{3}m^{4}n is …………….

A) 8

B) 7

C) 9

D) 12

Answer:

A) 8

Question 16.

The degree of an algebraic expression ax^{3} + bx^{2} + cx + dx^{11} + ex^{9} is ……………..

A) 11

B) 9

C) 3

D) 16

Answer:

A) 11

Question 17.

The degree of an algebraic expression lmn + l^{2}m-ln^{2}-m^{2}n is ………………….

A) 2

B) 3

C) 6

D) 8

Answer:

B) 3

Question 18.

From the given figure the perimeter is …………….. units.

A) 8x

B) 10x

C) 16x

D) 12x

Answer:

C) 16x

Question 19.

The perimeter of a rectangle is ……………… units.

A) 11xy

B) 22 xy

C) 28 x^{2} y^{2}

D) 28 xy

Answer:

B) 22 xy

Question 20.

Subtract 11p from 2p is ……………….

A) – 9p

B) 9p

C) 13p

D) 7p

Answer:

A) – 9p

Question 21.

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

A) 1

B) 0

C) – 1

D) 2

Answer:

B) 0

Question 22.

What is the value of m^{n} – n^{m} if m = 3, n = 2?

A) 0

B) 2

C) 1

D) 5

Answer:

C) 1

Question 23.

What is the value of xy + 3y – 9 when x = 1, y = 2 is …………….

A) 1

B) -1

C) 0

D) 12

Answer:

B) -1

Question 24.

(2x + 9y – 7z) + (3y + z + 3x) + (2x – 4y – z) = ………………

A) 7x + 8y – 7z

B) – 7x + 8y – 7z

C) 7x – 8y – 7z

D) 7x – 8y + 7z

Answer:

A) 7x + 8y – 7z

Question 25.

Simplification of 2x^{2} + 5x – 1 + 8x + x^{2} + 7 – 6x + 3 – 3x^{2} is ………………

A) 7x – 9

B) – 7x + 9

C) 7x + 9

D) 6x + 9

Answer:

C) 7x + 9

Question 26.

If A = 4x^{2} + y^{2} – 6xy, B = 3y^{2} + 12x^{2} + 8xy 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 27.

(3a^{2} – 8ab – 2b^{2}) – (3a^{2} – 4ab + 6b^{2}) = ……………..

A) – 4ab + 8b^{2}

B) 4ab + 8b^{2}

C) 4ab – 8b^{2}

D) – 4ab – 8b^{2}

Answer:

D) – 4ab – 8b^{2}

Question 28.

A pattern of letter ‘z’ is?

A) 2n

B) 2n + 1

C) 3n

D) 3n + 1

Answer:

C) 3n

Question 29.

A pattern of letter ‘V’ Is

A) n + 1

B) 2n + 1

C) 3n

D) 2n

Answer:

D) 2n

Question 30.

4, 7, 10, 13, ……………… in series n^{th} term

A) 3n + 1

B) 3n

C) 3n + 2

D) 2n + 2

Answer:

A) 3n + 1

Question 31.

The pattern of the series 5, 9, 13, 17, ………………. is

A) 3n + 2

B) 4n + 1

C) 2n + 3

D) 4n + 2

Answer:

B) 4n + 1

Question 32.

Write an algebraic expression for “p is multiplied by -6”

A) p × 6

B) – 6p

C) \(\frac{-\mathrm{p}}{6}\)

D) \(\frac{-6}{\mathrm{p}}\)

Answer:

B) – 6p

Question 33.

What is the pattern of the letter ‘H’?

A) 4n

B) 2n

C) 3n

D) 3n^{2}

Answer:

C) 3n

Question 34.

The pattern of the letter ‘V’ is ……………..?

A) 2n

B) 2n^{2}

C) n^{2}

D) 3n

Answer:

A) 2n

Question 35.

Which of the following situation is a variable?

A) The cost of Tomatoes in a market

B) The temperature of a day in every hour

C) Rainfall in a year month wise

D) All the above

Answer:

D) All the above

Question 36.

Which of the following situation refers a constant?

A) The height of a children from the age 5 to 15 years

B) Runs done by a cricket player in different matches

C) The length of your classroom is fixed

D) Current bill of your house in various months in a year

Answer:

C) The length of your classroom is fixed

Question 37.

What should be added to 1 + 2x – 3x^{2} we will get x^{2}– x – 1?

A) 4x^{2} – 3x + 2

B) 4x^{2} – 3x – 2

C) 4x^{2} + 3x – 2

D) 4x^{2} + 3x + 2

Answer:

B) 4x^{2} – 3x – 2

Question 38.

Write an algebraic expression for “b is multiplied by x and 5 is added to the product”?

A) bx + 5

B) b + 5x

C) bx – 5

D) b – 5x

Answer:

A) bx + 5

Question 39.

Write the statement for “16 + m”

A) m is multiplied by 6

B) 6 is multiplied by m

C) 16 is added to m

D) None of these

Answer:

C) 16 is added to m

Question 40.

“3m + 5” write the statement for the given algebraic expression.

A) in is multiplied by 3

B) m is multiplied by 3 and 5 is subtracted from the product.

C) m is multiplied by 3 and 5 is added to the product

D) None

Answer:

C) m is multiplied by 3 and 5 is added to the product

Question 41.

Which of the following represents the variable?

A) Length of your pencil box

B) Breadth of your maths textbook

C) Your height

D) Number of hands of a human being

Answer:

C) Your height

Question 42.

Which of the following represents the constant?

A) Your weight

B) Number of students in your class in every year

C) Your age

D) The days in January month

Answer:

D) The days in January month

Question 43.

Which of the following is a Monomial?

A) 7 lm^{2}n^{2}

B) 100 – (98 ÷ 2)

C) 3y^{2} – x^{2}y^{2} + 4x

D) 1 + x + x^{2}

Answer:

A) 7 lm^{2}n^{2}

Question 44.

Which of the following is a trinomial?

A) 101

B) ax + b

C) ax^{2} + bx + c

D) lmn

Answer:

C) ax^{2} + bx + c

Question 45.

5 – 2xy is a ……………. expression.

A) Monomial

B) Binomial

C) Trinomial

D) Multinomial

Answer:

B) Binomial

Question 46.

7x^{2} – 2xy + 9y^{2} – 11 is a …………… expression.

A) Monomial

B) Binomial

C) Trinomial

D) Polynomial

Answer:

D) Polynomial

Question 47.

The algebraic expression for “x is multiplied by 7 and 3 is reduced from the product” is ………………..

A) 7x – 3

B) 7x + 3

C) 7/x— 3

D) x/7 – 3

Answer:

A) 7x – 3

Question 48.

Write an algebraic expression for “one- fifth of product of x & y” is …………….

A) \(\frac{\mathrm{xy}}{4}\)

B) \(\frac{\mathrm{xy}}{5}\)

C) \(\frac{x+y}{5}\)

D) \(\frac{\mathrm{xy}+5}{4}\)

Answer:

B) \(\frac{\mathrm{xy}}{5}\)

Question 49.

Write a sentence for an algebraic expression “12p-7” is ………………

A) 7 is reduced from twelve times of P

B) 7 is reduced from P

C) 7 is reduced from p and multiplied by 12

D) None

Answer:

A) 7 is reduced from twelve times of P

Question 50.

Write a mathematical sentence for an algebraic expression is “10 lmn” is …………….

A) the product of l, m, n

B) the product of 10, l, m

C) the product of 10, l, m, n

D) None

Answer:

C) the product of 10, l, m, n

Question 51.

The Numerical coefficient of – y^{2} is……………..?

A) 1

B) 2

C) – 1

D) – 2

Answer:

C) – 1

Question 52.

The Numerical coefficient of \(\frac {-3}{2}\) xy^{2}z^{3}?

A) \(\frac {-3}{2}\)

B) \(\frac {3}{2}\)

C) 3

D) 6

Answer:

A) \(\frac {-3}{2}\)

Question 53.

The literal coefficient of \(\frac {7}{5}\) x is ……………..?

A) x

B) 1

C) –\(\frac {7}{5}\)

D) None

Answer:

A) x

Question 54.

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

A) 5

B) 3

C) 2

D) 1

Answer:

D) 1

Question 55.

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

A) – 3x^{2} + 8 + 4x

B) – 3x^{2} + 4x + 8

C) 4x – 3 x^{2} + 8

D) 8 + 4x – 3x^{2}

Answer:

B) – 3x^{2} + 4x + 8

Question 56.

The standard form of an expression y^{3} + 1 + y + 3y^{2} is ………….

A) y^{3} + 3y^{2} + 1 + y

B) 3y^{2} + y^{3} + y + 1

C) 1 + y + 3y^{2} + y^{3}

D) y^{3} + 3y^{2} + y + 1

Answer:

D) y^{3} + 3y^{2} + y + 1

Question 57.

Which of the following expression is in a standard form?

A) ax^{2} + c + bx

B) ax^{2} + bx + c

C) c + bx + ax^{2}

D) ax^{2} + b + ex^{3}

Answer:

B) ax^{2} + bx + c

II. Match the following.

Group – A | Group-B |

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

2. Binomial | B) 5xy – 6y + 4zx + 7 – 5t |

3. Trinomial | C) x^{2} – y^{2} + z |

4. Polynomial | D) ax^{2} + bx + c |

5. Second degree algebraic expression | E) 2x + 3y |

6. Numerical expression | F) 4xyz |

G) ax + b | |

H) (6 × 5) ÷ 3 |

Answer:

1. Monomial – F) 4xyz

2. Binomial – E) 2x + 3y

3. Trinomial – A) x^{2} + 2xy + y^{2}

4. Polynomial – B) 5xy – 6y + 4zx + 7 – 5t

5. Second degree algebraic expression – D) ax^{2} + bx + c

6. Numerical expression – H) (6 × 5) ÷ 3