AP State Syllabus AP Board 7th Class Maths Solutions Chapter 10 Algebraic Expressions Ex 2 Textbook Questions and Answers.

## AP State Syllabus 7th Class Maths Solutions 10th Lesson Algebraic Expressions Exercise 2

Question 1.

Identify and write the like terms in each of the following groups.

(i) a^{2}, b^{2}, -2a^{2}, c^{2}, 4a

(ii) 3a, 4x, – yz, 2z

(iii) -2xy^{2}, x^{2}y, 5y^{2}x, x^{2}z

(iv) 7p, 8pq, -5pq, -2p, 3p

Solution:

i) Group of like terms : [a^{2}, -2a^{2}]

ii) Group of like terms: {-yz, 2zy}

iii) Group of like terms: {-2xy^{2}, 5y^{2}x}

iv) Group of like terms: {7p, -2p, 3p} , : {8pq,-5pq}

Question 2.

State whether the expression is a numerical expression or an algebraic expression.

(i) x + 1

(ii) 3m^{2}

(iii) -30 + 16

(iv) 4p^{2} – 5q^{2}

(v) 96

(vi) x^{2} – 5yz

(vii) 215x^{2}yz

(viii) 95 ÷ 5 x 2

(ix) 2 + m + n

(x) 310 + 15 + 62

(xi) 11 a^{2} + 6b^{2} – 5

Solution:

Algebraic expression

(i) x + 1

(ii) 3m^{2}

(iv) 4p^{2} – 5q^{2}

(vi) x^{2} – 5yz

(vii) 215x^{2}yz

(ix) 2 + m + n

(x) 310 + 15 + 62

(xi) 11 a^{2} + 6b^{2} – 5

Numerical expression

(iii) -30 + 16

(v) 96

(viii) 95 ÷ 5 x 2

(x) 310 + 15 + 62

Question 3.

State whether the algebraic expression given below is monomial, binomial, trinomial or multinornial.

(i) y^{2}

(ii) 4y — 7z

(iii) 1 + x + x^{2}

(iv) 7mn

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

(vi) 100 xyz

(vii) ax + 9

(viii) p^{2} – 3pq + r

(ix) 3y^{2} – x^{2}y^{2} + 4x

(x) 7x^{2} – 2xy + 9y^{2} – 11

Solution:

Algebraic Expression | Its name |

(i) y^{2} |
Monomial |

(ii) 4y – 7z | Binomial |

(iii) 1 + x + x^{2} |
Trinomial |

(iv) 7mn | Monomial |

(v) a^{2} + b^{2} |
Binomial |

(vi) 100 xyz | Monomial |

(vii) ax + 9 | Binomial |

(viii) p^{2} – 3pq + r |
Trinom ial |

(ix) 3y^{2} – x^{2}y^{2} + 4x |
Trinomial |

Question 4.

What is the degree of each of the monomials.

(i) 7y

(ii) -xy^{2}

(iii) xy^{2}z^{2}

(iv) -11y^{2}z^{2}

(v) 3mn

(vi) -5pq^{2}

Solution:

Monomial | Degree |

(i) 7y | 1 |

(ii) -xy^{2} |
1 + 2 = 3 |

(iii) xy^{2}z^{2} |
1 + 2 + 2 = 5 |

(iv) -11y^{2}z^{2} |
2 + 2 = 4 |

(v) 3mn | 1 + 1 = 2 |

(vi) -5pq^{2} |
1 + 2 = 3 |

Question 5.

Find the degree of each algebraic expression.

(i) 3x – 15

(ii) xy + yz

(iii) 2y^{2}z + 9yz – 7z – 11x^{2}y^{2}

(iv) 2y^{2}z + 10yz

(v) pq + p^{2}q – p^{2}q^{2}

(vi) ax^{2} + bx + c

Solution:

Algebraic Expression | Degree |

(i) 3x – 15 | 1 |

(ii) xy + yz | 2 |

(iii) 2y^{2}z + 9yz – 7z – 11x^{2}y^{2} |
4 |

(iv) 2y^{2}z + 10yz |
3 |

(v) pq + p^{2}q – p^{2}q^{2} |
4 |

(vi) ax^{2} + bx + c |
2 |

Question 6.

Write any two Algebraic expressions with the same degree.

Solution:

Algebraic expression, with the same degree are

i) ax^{2} + bx + c .

ii) 4x^{2} – 5x – 1