SCERT AP 7th Class Maths Solutions Pdf Chapter 9 Algebraic Expressions Ex 9.2 Textbook Exercise Questions and Answers.

## AP State Syllabus 7th Class Maths Solutions 9th Lesson Algebraic Expressions Ex 9.2

Question 1.

State True or False and give reasons for your answer.

(i) 7x^{2} and 2x are unlike terms.

Answer:

True.

7x^{2} and 2x have different algebraic factors and terms contain variables with different exponents.

(ii) pq^{2} arid – 4pq^{2} are like terms.

Answer:

True.

pq^{2} and – 4pq^{2} are contain variables with same exponents. So, they are like terms.

(iii) xy, – 12x^{2}y and 5xy^{2} are like terms.

Answer:

False.

xy, – 12x^{2}y and 5xy^{2} are contain variables with different exponents. So, they are unlike terms.

Question 2.

Write like terms in the following :

(i) a^{2}, b^{2}, 2a^{2}, c^{2}

Answer:

Given a^{2}, b^{2}, 2a^{2}, c^{2}

Like terms: a^{2}, 2 a^{2}.

(ii) 5x, yz, 3xy, \(\frac{1}{9}\)yz

Answer:

Given 5x, yz, 3xy, \(\frac{1}{9}\)yz

Like terms : yz, \(\frac{1}{9}\)yz.

(iii) 4m^{2}n, n^{2}p, – m^{2}n, m^{2}n^{2}

Answer:

Given 4m^{2}n, n^{2}p, – m^{2}n, m^{2}n^{2}

Like terms: 4m^{2}n, – m^{2}n.

(iv) acb^{2}, 2c^{2}ab, 5b^{2}ac, 3cab^{2}

Answer:

Given acb^{2}, 2c^{2}ab, 5b^{2}ac, 3cab^{2}

Like terms: acb^{2}, 5b^{2}ac, 3cab^{2}.

Question 3.

Write a number of terms and name of the expression for the following algebraic expressions.

(i) p^{2}q^{2}p

(ii) 2020

(iii) 3ab – \(\frac{a}{2}\) + \(\frac{b}{5}\)

Answer:

Algebraic expression | Number of terms | Name of the expression |

(i) p^{2}q + q^{2}p |
2 | Binomial |

(ii) 2020 | 1 | Monomial |

(iii) 3ab – \(\frac{a}{2}\) + \(\frac{b}{5}\) | 3 | Trinomial |

Question 4.

Classify the following into monomials, binomilas and trinomials:

(i) 8a + 7b^{2}

(ii) 15xyz

(iii) p + q – 2r

(iv) l^{2}m^{2}n^{2}

(v) cab^{2}

(vi) 3t – 5s + 2u

(vii) 1000

(viii) \(\frac{\mathbf{c d}}{2}\) + ab

(ix) 5ab – 9a

(x) 2p^{2}q^{2} + 4qr^{3}

Answer:

Algebraic expression | Name of the expression |

(i) 8a + 7b^{2} |
Binomial |

(ii) 15xyz | Monomial |

(iii) p + q – 2r | Trinomial |

(iv) l^{2}m^{2}n^{2} |
Monomial |

(v) cab^{2} |
Monomial |

(vi) 3t – 5s + 2u | Trinomial |

(vii) 1000 | Monomial |

(viii) \(\frac{\mathbf{c d}}{2}\) + ab | Binomial |

(ix) 5ab – 9a | Binomial |

(x) 2p^{2}q^{2} + 4qr^{3} |
Binomial |