ML Aggarwal Algebra Check Your Progress Class 6 ICSE Maths Solutions. We Provide Step by Step Answer of Check Your Progress Questions for Algebra as council prescribe guideline for upcoming board exam. Visit official Website CISCE for detail information about ICSE Board Class-6.

## ML Aggarwal Algebra Check Your Progress Class 6 ICSE Maths Solutions

Board | ICSE |

Publications | Avichal Publishig Company (APC) |

Subject | Maths |

Class | 6th |

Chapter-9 | Algebra |

Writer | ML Aggarwal |

Book Name | Understanding |

Topics | Solution of Check Your Progress Questions |

Edition | 2023-2024 |

**Algebra Check Your Progress **

**ML Aggarwal Class 6 ICSE Maths Solutions**

Page-201

**Question 1. Look at the following matchstick pattern of polygons. Complete the table. Also write the general rule that gives the number of matchsticks.**

**Answer:**

**Question 2. Consider the expression 3/2 x**^{2}y – 1/2 xy^{2}+ 6x^{2}y^{2}

^{2}y – 1/2 xy

^{2}+ 6x

^{2}y

^{2}

(i) How many terms are there ? What do you call such an expression ?

(ii) List out the terms.

(iii) In the term -1/2 xy^{2}, write down the numerical coefficient and the literal coefficient.

(iv) In the term -1/2 xy^{2}, what is the coefficient of x?

**Answer:**

(i) 3, Trinomial

(ii) 3/2x^{2}y, – 1/2xy^{2}, 6x^{2}y^{2}

(iii) -1/2, xy^{2}

(iv) -1/2 y^{2}

**Algebra Check Your Progress **

**ML Aggarwal Class 6 ICSE Maths Solutions**

Page-202

**Question 3. ****Write an algebraic expression for each of the following:**

(i) If 1 metre cloth costs ₹ x, then what is cost of 6 metre cloth?

(ii) If the cost of a notebook is ₹ x and the cost of a book is ₹ y, then what is the cost of 5 notebooks and 2 books?

(iii) The score of Ragni in Mathematics is 23 more than two-third of her score in English. If she scores x marks in English, what is her score in Mathematics?

(iv) If the length of a side of a regular pentagon is x cm, then what is the perimeter of the pentagon?

**Answer:**

**(i) Cost of 1 metre cloth = ₹ x**

Cost of 6 metre cloth = ₹ x × 6 = ₹6x

**(ii) Cost of 1 notebook = ₹ x**

Cost of 1 book = ₹y

Cost of 5 notebooks = 5 × (₹x) = ₹5x

Cost of 2 books = (₹y) × 2 = ₹2y

Total cost of 5 notebooks and 2 books = ₹(5x + 2y)

**(iii) Score of Ragni in English = x marks**

Score of Ragni in Mathematics = 23 more than two-third of her score in English

i.e. = 23 + 2/3x

= 23 + 2/3x

**(iv) Side of regular pentagon = x cm**

Perimeter of pentagon = 5 × Side = 5x cm

**Question 4. ****When x = 4 and y = 2, find the value of:**

(i) x + y

(ii) x – y

(iii) x^{2} + 2

(iv) x^{2} – 2xy + y^{2}

**Answer:**

**(i) x + y**

Put x = 4 and y = 2

We get,

⇒ 4 + 2 = 6

**(ii) x – y**

Put x = 4, y = 2

We get,

⇒ 4 – 2 = 2

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

Put x = 4 We get,

⇒ (4)

^{2}+ 2

= 16 + 2= 18

**(iv) x ^{2} – 2xy + y^{2}**

Put x = 4 and y = 2

**Question 5. When a = 3, b = 0, c = -2, find the values of:**

(i) ab + 2bc + 3ca + 4abc

(ii) a^{3} + b^{3} + c^{3} – 3abc

**Answer:**

**(i) ab + 2bc + 3ca + 4abc**

Put the values of a = 3, b = 0, c = -2

3 × 0 + 2 × 0 × -2 + 3 × -2 × 3 + 4 × 3 × 0 × -2

= 0 + 0 – 18 + 0 = -18

**(ii) a ^{3} + b^{3} + c^{3} – 3abc**

Put the values of a = 3, b = 0, c

= -2 (3)

^{3}+ (0)

^{3}+ (-2)

^{3}– 3 × 3 × 0 × -2

= 27 + 0 – 8 – 0 = 19

**Question 6. ****Solve the following linear equations:**

(i) 2x – 1(1/2) = 4(1/2)

(ii) 3(y – 1) = 2(y + 1)

(ii) n – 3 = 5n + 21

(iv) 1/3 (7x – 1) = 1/4

**Answer:**

— : End of ML Aggarwal Algebra Check Your Progress Class 6 ICSE Maths Solutions :–

Return to **–** ML Aggarwal Maths Solutions for ICSE Class -6

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