RBSE Solutions for Class 8 Maths Chapter 9 Algebraic Expressions Ex 9.1 is part of RBSE Solutions for Class 8 Maths. Here we have given Rajasthan Board RBSE Class 8 Maths Chapter 9 Algebraic Expressions Exercise 9.1.

Board |
RBSE |

Textbook |
SIERT, Rajasthan |

Class |
Class 8 |

Subject |
Maths |

Chapter |
Chapter 9 |

Chapter Name |
Algebraic Expressions |

Exercise |
Exercise 9.1 |

Number of Questions |
4 |

Category |
RBSE Solutions |

## Rajasthan Board RBSE Class 8 Maths Chapter 9 Algebraic Expressions Ex 9.1

Question 1.

Find the product of the following pairs of monomials.

(i) 3 × 5x

(ii) – 5p, – 2q

(iii) 7l², – 3n²

(iv) 6m, 3n

(v) – 5x², – 2x

Solution

(i) 3 × 5x

= 3 × 5 × x

= 15x

(ii) – 5p,- 2q

= (- 5) × p × (- 2) × q

= (- 5) × (- 2) × p × q

= 10pq

(iii) 7l², – 3n²

= 7 × l² × (- 3) × n²

= 7 × (- 3) × l² × n²

= – 21l²n²

(iv) 6m, 3n

= 6 × m × 3 × n

= 6 × 3 × m × n

= 18 mn

(v) – 5x², – 2x

= (- 5) × x² × (- 2) × x

= (- 5) × (- 2) × x² × x

= 10x³

Question 2.

Complete the table.

X | 7 | x | y | 2z | a | -5b | c |

7 | 49 | ||||||

x | |||||||

2y | |||||||

-3a | -3ay | ||||||

b | |||||||

y | |||||||

2x^{3} |
|||||||

a^{4} |
a^{5} |
||||||

z^{2} |

Solution

X | 7 | x | y | 2z | a | -5b | c |

7 | 49 | 7x | 7y | 14z | 7a | -35b | 7c |

x | 7x | x^{2} |
xy | 2zx | ax | -5bx | cx |

2y | 14y | 2xy | 2y^{2} |
4yz | 2ay | -10by | 2cy |

-3a | -21a | -3ax | -3ay | -6az | -3a^{2} |
15ab | -3ac |

b | 7b | bx | by | 2bz | ab | -5b^{2} |
bc |

y | 7y | xy | y^{2} |
2yz | ay | -5by | cy |

2x^{3} |
14^{3} |
2x^{4} |
2x^{3}y |
4x^{3}z |
2x^{3}a |
-10x^{3}b |
2x^{3}c |

a^{4} |
7a^{4} |
a^{4}x |
a^{4}y |
2a^{4}z |
a^{5} |
-5a^{4}b |
a^{4}c |

z^{2} |
7z^{2} |
xz^{2} |
yz^{2} |
2z^{3} |
az^{2} |
-5bz^{2} |
cz^{2} |

Question 3.

Multiply the following monomials

(i) xy, x²y, xy, x

(ii) m, n, mn, m^{3}n, mn^{3}

(iii) kl, lm, km, klm

Solution

(i) xy, x²y, xy, x

xy × x²y × xy × x

= x × y × x × x × y × x × y × x

= x × x × x × x × x × y × y × y

= x^{5} × y^{3}

= x^{5}y^{3}

(ii) m, n, mn, m^{3}n, mn^{3}

m × n × mn × m^{3}n × mn^{3}

= m × n × m × n × m × m × m × n ×m × n × n × n

= m × m × m × m × m × m × n × n × n × n × n × n

= m^{6} × n^{6}

= m^{6}n^{6}

(iii) kl, lm, km, klm

kl × lm × km × klm

= k × l × l × m × k × m × k × l × m

= k × k × k × l × l × l × m × m × m

= k^{3} × l^{3} × m^{3}

= k^{3}l^{3} × m^{3}

= k^{3}l^{3}m^{3}

Question 4.

Find the simple interest = [latex]\frac { PTR }{ 100 }[/latex], If principal (P) = 4x², time (T) = 5x and rate of interest (R) = 5y.

Solution

Simple Interest = [latex]\frac { PTR }{ 100 }[/latex]

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