ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 9 Linear Equations and Inequalities Ex 9.1

ML Aggarwal Class 7 Solutions Chapter 9 Linear Equations and Inequalities Ex 9.1 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 9 Linear Equations and Inequalities Ex 9.1

Solve the following (1 to 9) equations:
Question 1.
(i) 2 (3 – 2x) = 13
(ii) \(\frac { 3 }{ 5 }\) y – 2 = \(\frac { 7 }{ 10 }\)
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 9 Linear Equations and Inequalities Ex 9.1 1

Question 2.
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 9 Linear Equations and Inequalities Ex 9.1 2
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 9 Linear Equations and Inequalities Ex 9.1 3

Question 3.
(i) 7(x – 2) = 2 (2x – 4)
(ii) 21 – 3(x – 7) = x + 20
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 9 Linear Equations and Inequalities Ex 9.1 4

Question 4.
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 9 Linear Equations and Inequalities Ex 9.1 5
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 9 Linear Equations and Inequalities Ex 9.1 6
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 9 Linear Equations and Inequalities Ex 9.1 7

Question 5.
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 9 Linear Equations and Inequalities Ex 9.1 8
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 9 Linear Equations and Inequalities Ex 9.1 9
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 9 Linear Equations and Inequalities Ex 9.1 10

Question 6.
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 9 Linear Equations and Inequalities Ex 9.1 11
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 9 Linear Equations and Inequalities Ex 9.1 12
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 9 Linear Equations and Inequalities Ex 9.1 13

Question 7.
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 9 Linear Equations and Inequalities Ex 9.1 14
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 9 Linear Equations and Inequalities Ex 9.1 15
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 9 Linear Equations and Inequalities Ex 9.1 16

Question 8.
(i) y + 1.2y = 4.4
(ii) 15% of x = 21
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 9 Linear Equations and Inequalities Ex 9.1 17

Question 9.
(i) 2p + 20% of (2p – 1) = 7
(ii) 3 (2x – 1) + 25% of x = 97
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 9 Linear Equations and Inequalities Ex 9.1 18
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 9 Linear Equations and Inequalities Ex 9.1 19

Question 10.
Find the value of p if the value of x4 – 3x3 – px – 5 is equal to 23 when x = -2.
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 9 Linear Equations and Inequalities Ex 9.1 20

Dust of Snow Extra Questions and Answers Class 10 English First Flight

Here we are providing Dust of Snow Extra Questions and Answers Class 10 English First Flight, Extra Questions for Class 10 English was designed by subject expert teachers.

Dust of Snow Extra Questions and Answers Class 10 English First Flight

Dust of Snow Extra Questions and Answers Short Answer Type

Question 1.
How did the crow change the poet’s mood?
Answer:
The poet was going somewhere in a snowy morning. He was upset. All the trees were covered with snow dust. A crow sitting on a hemlock tree shook the tree in such a way that some dust of snow fell on the poet. This changed his mood and he became happy and relaxed.

Question 2.
What was the reaction of the poet when the dust of snow fell on him?
Answer:
Normally, people thought both crow and hemlock tree are auspicious. But when the dust of snow from hemlock tree fell on poet, he took it in other way. He was depressed and sorrowful but the moment the crow shook the hemlock tree and dust of snow fell on him, he felt unburdened and relieved.

Question 3.
How does the poet react to crow and hemlock tree?
Answer:
Crow and hemlock tree are considered inauspicious in the west. They are generally taken /is bad omen. But the poet did not take them in negative way. They saved his day. His negative outlook changed to the positive one.

Question 4.
What made the poet change his mood?
Answer:
A crow on the hemlock tree shook down the dust of snow on the poet. The falling dust of snow on the poet has changed his mood.

Question 5.
Why does the poet feel that he has saved some part of the day?
Answer:
Crow shook down the dust of snow on the poet. Both crow and hemlock tree are considered inauspicious. The falling of dust of snow from hemlock tree is bad omen. But the poet took it in a positive way. He found himself relieved from sorrow after this incident. Now he could use his entire day in a fruitful way.

Question 6.
Simple moment proves to be very significant and saves rest of the day of poet from being wasted. Explain on the basis of the poem ‘Dust of Snow”.
Answer:
‘Dust of Snow’ is a beautiful poem written by Robert Frost. This poem conveys that even a simple moment has a large significance. The poet mentioned crow and hemlock tree in this poem. Crow signifies his depressive and sorrowful mood and hemlock tree is a poisonous tree. Both these signify that the poet was not in a good mood and so he describes the dark, depressive and bitter side of nature to present his similar mood.

The poet says that once he was in a sad, depressive mood and was sitting under a hemlock tree. A crow, sitting on the same tree, shook off the dust of snow, small particles of snow that remained on the surface after the snowfall, on the poet. This simple action changed the poet’s mood. He realised that he had just wasted a part of his day repenting and being lost in sorrow. But the change in his mood made him realise that he should utilize the rest of the day in some useful activity. His sorrow was washed away by the light shower of dust of snow. His spirit was revived and he got ready to utilize the rest of the day.

Question 7.
The poet was sad and depressed. But one comical incident lifts his spirits. He is full of joy and happiness again. Based on your reading of the poem, write a paragraph on the topic – Happiness is relative.
Answer:
No one is always happy. It is just a passing phase of one’s life. It varies from time to time and place to place. It depends on certain people who you are close to. There are times when we are extremely happy or sorrowful. In most circumstances, our happiness is decided l>y certain moments in our life. Some light moments can really enliven our mood. The actions of our friends can make us happy or sometimes sorrowful. We must also realize that on every cloud there is a silver lining. This means that every sorrowful moment is followed by a period of joy and happiness.

Question 8.
What do the ‘Hemlock’ tree and ‘Crow’ represent? What does the dust of snow metaphorically stand for ?
Answer:
The poet was going somewhere in a snowy morning. He was upset. All the trees were covered with snow dust. A crow sitting on a hemlock tree shook the tree in such a way that some dust of snow fell on the poet. This changed his mood and he became happy and relaxed.

Question 9.
Narrate a similar experience of your life when nature intervened and changed your mood. Discuss.
Answer:
Normally, people thought both crow and hemlock tree are auspicious. But when the dust of snow from hemlock tree fell on poet, he took it in other way. He was depressed and sorrowful but the moment the crow shook the hemlock tree and dust of snow fell on him, he felt unburdened and relieved.

Question 10.
What is a “Dust of Snow”? What does the poet say has changed his mood? How has the poet’s mood changed?
Answer:
A ‘Dust of Snow” means the fine particles of snow. This ‘Dust of Snow” changed the poet’s mood. The poet’s mood changed from that of dismay to joy. He was holding the day in regret when this dust of snow fell on him and this simple little thing brought him some joy.

Question 11.
How does Frost present nature in this poem? The following questions may help you to think of an answer.
(i) What are the birds that are usually named in poems? Do you think a crow is often mentioned in poems? What images come to your mind when you think of a crow?
(ii) Again, what is “a hemlock tree”? Why doesn’t the poet write about a more ‘beautiful’ tree such as
a maple, or an oak, or a pine?
(iii) What do the ‘crow’ and ‘hemlock’ represent—joy or sorrow? What does the dust of snow that the crow shakes off a hemlock tree stand for?
Answer:
Robert Frost has represented nature in quite an unconventional manner. While in other nature poems we come across birds such as nightingales or sparrows, Frost has used a crow in this poem. A crow can be associated with something dark, black, and foreboding. That is why, other poets usually mention singing nightingales or beautiful white doves in their poems.

Also, the poet has written about a hemlock tree, which is a poisonous tree. He has not written about a more beautiful tree such as a maple, an oak or a pine tree because these trees symbolize beauty and happiness. Robert Frost wanted to symbolize the feelings of sadness and regret, which is why he has used a hemlock tree.

The crow and the hemlock tree represent sorrow. The dust of snow that is shaken off the hemlock tree by the crow stands for joy that Robert Frost experiences. He has, therefore, used an unconventional tree and bird in order to contrast them with joy in the form of snow.

Question 12
Have there been times when you felt depressed or hopeless? Have you experienced a similar moment that changed your mood that day?
Answer:
The teacher may encourage the students to narrate any incident that changed their mood e.g. a sight of dead animal, a scene of accident, treatment of some animals on the way, a funeral procession, etc.

Dust of Snow Extra Questions and Answers Reference to Context

Read the stanza and answer the questions that follow:

Question 1.
The way a crow
Shook down on me
The dust of snow
From a hemlock tree.

(i) Name the poem and poet.
(ii) Where was the crow?
(iii) What did the crow do?
(iv) What does a “hemlock tree’ represent?
Answer:
(i) These lines have been taken from the poem “Dust of Snow” composed by Robert Frost.
(ii) The crow was on the hemlock tree.
(iii) The crow shook the tree is such a way that the dust of snow fell on the poet.
(iv) A hemlock tree is a poisonous tree. It is not considered auspicious. It represents sorrow.

Question 2.
Has given my heart
A change of mood
And saved some part
Of a day I had rued.

(i) Who is ‘I’ in these lines
(ii) What changed the mood of the poet?
(iii) What did the poet decide?
(iv) What was the mood of the poet before and after the incident?
Answer:
(i) ‘I’is the poet himself here.
(ii) The poet’s mood changed when the dust of snow from the hemlock tree fell down on the poet.
(iii) The poet decided to save rest of the day so that there is no harm or sorrow for him.
(iv) The poet was in depressive mood before the incident and after the incident the poet was in enjoyable mood.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Check Your Progress

ML Aggarwal Class 7 Solutions Chapter 8 Algebraic Expressions Check Your Progress for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Check Your Progress

Question 1.
Consider the expression \(\frac { 3 }{ 2 }\) x2y – \(\frac { 1 }{ 2 }\) xy2 + 6x2y2.
(i) How many terms are there? What do you call such an expression?
(ii) List out the terms.
(iii) In the term \(\frac { -1 }{ 2 }\) xy2, write down the numerical coefficient and the literal coefficient.
(iv) In the term \(\frac { -1 }{ 2 }\) xy2, what is the coefficient of x?
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Check Your Progress 1

Question 2.
Write the Degree of the following polynomials:
(i) \(\frac { 2 }{ 5 }\) x3 – 7x2 – \(\frac { 1 }{ 2 }\) x + 3
(ii) \(\frac { 2 }{ 3 }\) xy2 – 5xy + \(\frac { 3 }{ 5 }\) y2x2 + 2x
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Check Your Progress 2

Question 3.
Identify monomials, binomials and trinomials from the following algebraic expressions:
(i) 5x × y
(ii) 3 – 5x
(iii) \(\frac { 1 }{ 2 }\) (7x – 3y + 5z)
(iv) 3x2 – 1.2xy
(v) -3x3y4z5
(vi) 5x(2x – 3y) + 7x2
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Check Your Progress 3

Question 4.
Using horizontal method:
(i) Add x2 + y2 – 2xy, -2x2 – y2 – 2xy and 3x2 + y2 + xy
(ii) Subtract -x2 + y2 + 2xy from 2x2 – 3y2.
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Check Your Progress 4

Question 5.
Using column method, add ab + 2bc – ca and 2ab – bc – ca and subtract 4ab + 5bc – 3ca.
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Check Your Progress 5

Question 6.
The sides fo a triangle are 5a – 3b, 3a + 2b and 5b – 2a, find its perimeter.
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Check Your Progress 6

Question 7.
If two adjacent sides of a rectangle are 4x +7y and 3y – x, find its perimeter.
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Check Your Progress 7

Question 8.
Subtract the sum of 3x2 + 2xy – 2y2 and 5y2 – 7xy from 5x2 + 2y2 – 3xy.
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Check Your Progress 8

Question 9.
What must be added to 5x3 – 2x2 + 3x + 7 to get 7x3 + 7x – 5?
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Check Your Progress 9

Question 10.
How much is 3p – 4q + r less than 4p + 3q – 5r?
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Check Your Progress 10

Question 11.
How much is 3a2 – 5ab + 7b2 + 3 greater than 2a2 + 2ab + 5?
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Check Your Progress 11

Question 12.
How much should 5x3 + 3x2 – 2x + 1 be increased to get 6x2 + 7?
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Check Your Progress 12

Question 13.
Subtract the sum of 12ab – 10b2 – 18a2 and 9ab + 12b2 + 14a2 from the sum of ab + 2b2 and 3b2 – a2.
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Check Your Progress 13

Question 14.
when a = 3, b = 0, c = -2, find the values of:
(i) ab + 2bc + 3ca + 4abc
(ii) a3 + b3 + c3 – 3abc
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Check Your Progress 14

Question 15.
Write the algebraic expression for the nth term of the number pattern 13, 23, 33, 43, ………..
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Check Your Progress 15

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Objective Type Questions

ML Aggarwal Class 7 Solutions Chapter 8 Algebraic Expressions Objective Type Questions for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Objective Type Questions

Mental Maths

Question 1.
Fill in the blanks:
(i) The terms with different algebraic factors are called ……….
(ii) The number of terms in a monomial is ………
(iii) An algebraic expression having two unlike terms is called a ……..
(iv) 3a2b and -7ba2 are ……….. terms.
(v) -6a2b and -6ab2 are ……… terms.
(vi) The number of unlike terms in the algebraic expression 3x2 – 2xy + 5x2 is ………
(vii) The factors of the term -3p2q2 are ……..
(viii) The perimeter of a triangle whose sides measure 2a, b and a + b is ………
(ix) The value of the expression 2x3 – 7x2 + 5x – 3 when x = 1 is ………..
(x) In the term -7a2bc, the coefficient of a is ……..
(xi) The degree of the polynomial 3 – 5x2 + 7x3 – x4 is ……….
(xii) The degree of the polynomial 3x2 – 2xy2 + 5 is ………
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Objective Type Questions 1

Question 2.
State whether the following statements are true (T) or false (F).
(i) The expression 5x + 7 – 2x is a trinomial.
(ii) (7x – 10) – (3x – 5) = 4x – 15.
(iii) The coefficient of 3x in -3x3y is -xy.
(iv) The constant term in the expression 2x2 – 3xy – 7 is 7.
(v) If x = 3 and y = \(\frac { 1 }{ 3 }\) then the value of xy (x2 + y2) is 9\(\frac { 1 }{ 9 }\).
(vi) (3x – y + 5) – (x + y) is a binomial.
(vii) Sum of 2 and p is 2p.
(viii) Sum of x2 + x and y2 + y is 2x2 + 2y2.
(ix) In like terms, variables and their powers are the same.
(x) Every polynomial is a monomial.
(xi) If we add a monomial and a binomial, then answer can never be a monomial.
(xii) If we subtract a monomial from a binomial, then the answer is at least a binomial.
(xiii) if we add a monomial and a trinomial, then the answer can be a monomial.
(xiv) If we add a monomial and a binomial, then the answer can be a trinomial.
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Objective Type Questions 2
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Objective Type Questions 3
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Objective Type Questions 4

Multiple Choice Questions

Choose the correct answer from the given four options (3 to 16):
Question 3.
The algebraic expression for the statement ‘Thrice square of a number x subtracted from five times the sum of y and 2’ is
(a) 5y + 2 – 3x2
(b) 3x2 – (5y + 2)
(c) 5(y + 2) – 3x2
(d) 5(y + 2) – (3x)2
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Objective Type Questions 5

Question 4.
The expression 7x – 5(x2 + y2) is a
(a) monomial
(b) binomial
(c) trinomial
(d) none of these
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Objective Type Questions 6

Question 5.
The coefficient of 5a2 in -5a3bc is
(a) -bc
(b) a2bc
(c) -a2bc
(d) -abc
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Objective Type Questions 7

Question 6.
Which of the following is a pair of like terms?
(a) -5xy, 5x
(b) -5xy, 3yz
(c) -5xy, -5y
(d) -5xy, 7yx
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Objective Type Questions 8

Question 7.
The like terms is the expressions 3x(3 – 2y) and 2(xy + x2) are
(a) 9x and 2x2
(b) -6xy and 2xy
(c) 9x and 2xy
(d) -6xy and 2x2
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Objective Type Questions 9

Question 8.
Identify the binomial out of the following:
(a) 3xy2 + 5y – x2y
(b) 2x2y – 5y – 2x2y
(c) 3xy2 + 5y – xy2
(d) xy + yz + zx
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Objective Type Questions 10

Question 9.
The number of (unlike) terms in the expression 3xy2 + 2y2z – y2x + y(xz + yz) – 5
(a) 3
(b) 4
(c) 5
(d) 6
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Objective Type Questions 11

Question 10.
The value of the expression x3 + y3 when x = 2 and y = -2 is
(a) 0
(b) 8
(c) 16
(d) -16
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Objective Type Questions 12

Question 11.
-xy – (-5xy) is equal to
(a) -6xy
(b) 6xy
(c) -4xy
(d) 4xy
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Objective Type Questions 13

Question 12.
On subtracting 7x + 5y – 3 from 5y – 3x – 9, we get
(a) 10x + 6
(b) -10x – 6
(c) 10x + 10y – 12
(d) -10x – 12
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Objective Type Questions 14

Question 13.
The value of the expression \(\frac { 5 }{ 3 }\) x2 + 1 when x = -2 is
(a) \(\frac { -17 }{ 3 }\)
(b) \(\frac { -7 }{ 3 }\)
(c) \(\frac { 21 }{ 3 }\)
(d) \(\frac { 23 }{ 3 }\)
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Objective Type Questions 15

Question 14.
The number of sides in a pattern having 3 hexagons arranged in a row as shown in the given figure is
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Objective Type Questions 16
(a) 18
(b) 17
(c) 16
(d) 15
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Objective Type Questions 17

Question 15.
The degree of the polynomial 3x3y – 5xy4 – 2x + 1 is
(a) 5
(b) 4
(c) 3
(d) 2
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Objective Type Questions 18

Higher Order Thinking Skills (HOTS)

Question 1.
The length of a rectangle is 3x – 4y + 6z and the perimeter is 7x + 8y + 17z, find the breadth of the rectangle.
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Objective Type Questions 19

Question 2.
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Objective Type Questions 20
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Objective Type Questions 21

Question 3.
If a = 3, b = -1, then find the value of each of the following:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Objective Type Questions 22
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Objective Type Questions 23

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Ex 8.4

ML Aggarwal Class 7 Solutions Chapter 8 Algebraic Expressions Ex 8.4 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Ex 8.4

Question 1.
Observe the patterns of shapes of letters formed from line segments of equal lengths:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Ex 8.4 1
If n shapes of letters are formed, then write the algebraic expression for the number of line segments required for making these n shapes in each case.
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Ex 8.4 2

Question 2.
Observe the pattern of shapes of digits formed from line segment of equal lengths:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Ex 8.4 3
If n shapes of digits are formed, then write the algebraic expression for the number of line segments required for making these n shapes in each case.
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Ex 8.4 4

Question 3.
If a pattern consists of n shapes formed by line segments of equal lengths and the number of line segments required to make n shapes is given by the algebraic expression:
(i) 2n + 1
(ii) 3n + 1
(iii) 3n + 2
(iv) 5n + 1
(v) 5n + 2
(vi) 4n + 3
then find the number of line segments required to form 5, 10 and 100 shapes in each case.
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Ex 8.4 5
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Ex 8.4 6