Andhra Pradesh Board Class 6th Maths Chapter 7 Introduction to Algebra InText Questions Textbooks Solutions PDF
Andhra Pradesh State Board STD 6th Maths Chapter 7 Introduction to Algebra InText Questions Books Solutions with Answers are prepared and published by the Andhra Pradesh Board Publishers. It is an autonomous organization to advise and assist qualitative improvements in school education. If you are in search of AP Board Class 6th Maths Chapter 7 Introduction to Algebra InText Questions Books Answers Solutions, then you are in the right place. Here is a complete hub of Andhra Pradesh State Board Class 6th Maths Chapter 7 Introduction to Algebra InText Questions solutions that are available here for free PDF downloads to help students for their adequate preparation. You can find all the subjects of Andhra Pradesh Board STD 6th Maths Chapter 7 Introduction to Algebra InText Questions Textbooks. These Andhra Pradesh State Board Class 6th Maths Chapter 7 Introduction to Algebra InText Questions Textbooks Solutions English PDF will be helpful for effective education, and a maximum number of questions in exams are chosen from Andhra Pradesh Board.Andhra Pradesh State Board Class 6th Maths Chapter 7 Introduction to Algebra InText Questions Books Solutions
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Materials | Textbook Solutions/Guide |
Format | DOC/PDF |
Class | 6th |
Subject | Maths |
Chapters | Maths Chapter 7 Introduction to Algebra InText Questions |
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AP Board Class 6th Maths Chapter 7 Introduction to Algebra InText Questions Textbooks Solutions with Answer PDF Download
Find below the list of all AP Board Class 6th Maths Chapter 7 Introduction to Algebra InText Questions Textbook Solutions for PDF’s for you to download and prepare for the upcoming exams:Question 1.
Arrange 2 matchsticks to form the shape Continue the same shape for 2 times, 3 times and 4 times. Frame the rule for repeating the pattern.
Solution:
To make the given shape 2 matchsticks are needed.
To make the given 2 shapes 4 matchsticks are needed.
To make the given 3 shapes 6 matchsticks are needed.
To make the given 4 shapes 8 matchsticks are needed.
Continue and arrange the information in the following table.
Number of matchsticks required = 2 × Number of shapes to be formed
= 2 × x = 2x
Question 2.
Rita took matchsticks to form the shape
She repeated the pattern and gave a rule.
Number of matchsticks needed = 6.y, where y is the number of shapes to be formed. Is it correct ? Explain.
What is the number of sticks needed to form 5 such shapes ?
Solution:
To make the given shape 6 matchsticks are needed.
To make the given 2 shapes 12 matchsticks are needed.
To make the given 3 shapes 18 matchsticks are needed.
Continue and arrange the information in the following table.
Yes, it is correct.
Number of matchsticks required = 2 × Number of shapes to be formed
= 2 × y = 2y
Number of matchsticks needed to form 5 such shapes = 6 × 5 = 30
Let’s Explore (Page No. 103)
Question 1.
A line of shapes is constructed using matchsticks.
Shape-1 Shape-2 Shape-3 Shape-4
i) Find the rule that shows how many sticks are needed to make a line of such shapes ?
ii) How many matchsticks are needed to form shape -12 ?
Solution:
Number of matchsticks 3 5 7 9
i) Let us know the pattern
S1 = 3 = 2 + 1 = (1 × 2) + 1
S2 = 5 = 4 + 1 = (2 × 2) + 1
S3 = 7 = 6 + 1 = (3 × 2) + 1
S4 – 9 = 8 + 1 = (4 × 2) + 1
Now the rule for this pattern is number of matchsticks.
ii) Used to make ‘n’ number of shapes is Sn = (n × 2) + 1 = 2n + 1
Number of matchsticks needed to form shape – 12 is
S12 = 2(12) + 1 = 24 + 1 = 25 sticks.
Check Your Progress (Page No. 105)
Question 1.
Fill the following table as instructed. One is shown for you.
S.No. | Expression | Verbal Form |
1. | y + 3 | Three more than y |
2. | 2x – 1 | |
3. | 5z | |
4. | <𝑡𝑎𝑏𝑙𝑒𝑏𝑜𝑟𝑑𝑒𝑟=”2″> |
Solution:
S.No. | Expression | Verbal Form |
1. | y + 3 | Three more than y |
2. | 2x – 1 | One less than the double of x |
3. | 5z | 5 times of z |
4. | <𝑡𝑎𝑏𝑙𝑒𝑏𝑜𝑟𝑑𝑒𝑟=”2″> | Half of the m |
Let’s Explore ? (Page No. 106)
Question 1.
Find the general rule for the perimeter of a rectangle. Use variables T and ‘b’ for length and breadth of the rectangle respectively.
Solution:
Given length of rectangle = l
breadth of rectangle = b
We know that the perimeter of rectangle is twice the sum of its length and breadth.
Sum of length and breadth = l + b
Twice the sum of length and breadth = 2 × (l + b)
Rule for the perimeter of a rectangle = 2(l + b)
Question 2.
Find the general rule for the area of a square by using the variable ‘s’ for the side of a square.
Answer:
Given side of a square = s
We know that the area of a square is the product of side and side.
Area of a square = side × side
Rule for the area of a square = s.s
Side | Area |
1 | 1 × 1 |
2 | 2 × 2 |
3 | 3 × 3 |
4 | 4 × 4 |
……….. | ………… |
s | S × s |
(Page No. 107)
Question 1.
Find the nth term in the following sequences.
0 3, 6, 9, 12, ii) 2, 5, 8, 11, iii) 1, 4, 9, 16,
Solution:
i) Given number pattern is 3, 6, 9, 12,……………..
To find the nth term in the given pattern, we put the sequence in a table.
First number = 3 × 1
Second number = 3 × 2
nth number = 3 × n = 3n
So, the nth term of the pattern 3, 6, 9, 12, is 3n.
ii) Given number pattern is 2, 5, 8, 11,
To find the nth term in the given pattern, we put the sequence in a table.
First number = 2 = 3 × 1 – 1
Second number = 5 = 3 × 2 – 1
Third number = 8 = 3 × 3 – 1
nth number = 3 × n – 1 = 3n – 1
So, the nth term of the pattern 2, 5, 8, 11 is 3n – 1.
iii) Given number pattern is 1, 4, 9, 16,
To find the nth term in the given pattern, we put the sequence in a table.
First number =1 = 1 × 1
Second number = 4 = 2 × 2
Third number =9 = 3 × 3
nth number = n × n = n2
So, the nth term of the pattern 1, 4, 9, 16 is n2.
Check Your Progress (Page No. 108)
Question 1.
Complete the table and find the value of ‘p’ for the equation 𝐩3 = 4
p | 𝐩3 = 4 | Condition satisfied ? Yes/ No |
3 | ||
6 | ||
9 | ||
12 |
Solution:
p | 𝐩3 = 4 | Condition satisfied ? Yes/ No |
3 | 33 ≠1 ≠ 4 | No |
6 | 63 ≠2 ≠ 4 | No |
9 | 93 ≠ 3 ≠ 4 | No |
12 | 123 ≠ 4 ≠ 4 | Yes |
Question 2.
Write LHS and RHS of following simple equations.
i) 2x + 1 = 10
ii) 9 = y – 2
iii) 3p + 5 = 2p + 10
Solution;
i) 2x+ 1 = 10
Given equation is 2x + 1 = 10
L.H.S = 2x + 1
R.H.S = 10
ii) 9 = y – 2
Given equation is 9 = y – 2
LHS = 9
RHS = y – 2
iii) 3p + 5 = 2p + 10
Given equation is 3p + 5 = 2p + 10
LHS = 3p + 5
RHS = 2p + 10
Question 3.
Write any two simple equations and write their LHS and RHS.
Solution:
i) Consider 8x + 3 = 4 is a simple equation.
L.H.S = 8x + 3
RHS = 4
ii) Consider 5a + 6 = 8a – 3 is a simple equation.
LHS = 5a + 6
RHS = 8a – 3
Let’s Explore (Page No. 109)
Observe for what value of m, the equation 3m = 15 has both LHS and RHS become equal.
Solution:
Given equation is 3m = 15
If m = 1, then the value of 3m = 3(1) = 3≠15 ∴ LHS ≠RHS
If m = 2, then the value of 3m = 3(2) = 6 ≠ 15 ∴ LHS ≠ RHS
If m = 3, then the value of 3m = 3(3) = 9≠15 ∴ LHS ≠ RHS
If m = 4, then the value of 3m = 3(4) = 12 ≠ 15 ∴ LHS ≠ RHS
If m = 5, then the value of 3m = 3(5) = 15 = 15 ∴ LHS = RHS
From the above when m = 5 the both LHS and RHS are equal
AP Board Textbook Solutions PDF for Class 6th Maths
- AP Board Class 6
- AP Board Class 6 Maths
- AP Board Class 6 Maths Chapter 1 Numbers All Around us Ex 1.1
- AP Board Class 6 Maths Chapter 1 Numbers All Around us Ex 1.2
- AP Board Class 6 Maths Chapter 1 Numbers All Around us Ex 1.3
- AP Board Class 6 Maths Chapter 1 Numbers All Around us Ex 1.4
- AP Board Class 6 Maths Chapter 1 Numbers All Around us Unit Exercise
- AP Board Class 6 Maths Chapter 1 Numbers All Around us InText Questions
- AP Board Class 6 Maths Chapter 2 Whole Numbers Ex 2.1
- AP Board Class 6 Maths Chapter 2 Whole Numbers Ex 2.2
- AP Board Class 6 Maths Chapter 2 Whole Numbers Ex 2.3
- AP Board Class 6 Maths Chapter 2 Whole Numbers Unit Exercise
- AP Board Class 6 Maths Chapter 2 Whole Numbers InText Questions
- AP Board Class 6 Maths Chapter 3 HCF and LCM Ex 3.1
- AP Board Class 6 Maths Chapter 3 HCF and LCM Ex 3.2
- AP Board Class 6 Maths Chapter 3 HCF and LCM Ex 3.3
- AP Board Class 6 Maths Chapter 3 HCF and LCM Ex 3.4
- AP Board Class 6 Maths Chapter 3 HCF and LCM Ex 3.5
- AP Board Class 6 Maths Chapter 3 HCF and LCM Ex 3.6
- AP Board Class 6 Maths Chapter 3 HCF and LCM Ex 3.7
- AP Board Class 6 Maths Chapter 3 HCF and LCM Unit Exercise
- AP Board Class 6 Maths Chapter 3 HCF and LCM InText Questions
- AP Board Class 6 Maths Chapter 4 Integers Ex 4.1
- AP Board Class 6 Maths Chapter 4 Integers Ex 4.2
- AP Board Class 6 Maths Chapter 4 Integers Ex 4.3
- AP Board Class 6 Maths Chapter 4 Integers Ex 4.4
- AP Board Class 6 Maths Chapter 4 Integers Unit Exercise
- AP Board Class 6 Maths Chapter 4 Integers InText Questions
- AP Board Class 6 Maths Chapter 5 Fractions and Decimals Ex 5.1
- AP Board Class 6 Maths Chapter 5 Fractions and Decimals Ex 5.2
- AP Board Class 6 Maths Chapter 5 Fractions and Decimals Ex 5.3
- AP Board Class 6 Maths Chapter 5 Fractions and Decimals Ex 5.4
- AP Board Class 6 Maths Chapter 5 Fractions and Decimals Ex 5.5
- AP Board Class 6 Maths Chapter 5 Fractions and Decimals Unit Exercise
- AP Board Class 6 Maths Chapter 5 Fractions and Decimals InText Questions
- AP Board Class 6 Maths Chapter 6 Basic Arithmetic Ex 6.1
- AP Board Class 6 Maths Chapter 6 Basic Arithmetic Ex 6.2
- AP Board Class 6 Maths Chapter 6 Basic Arithmetic Ex 6.3
- AP Board Class 6 Maths Chapter 6 Basic Arithmetic Ex 6.4
- AP Board Class 6 Maths Chapter 6 Basic Arithmetic Unit Exercise
- AP Board Class 6 Maths Chapter 6 Basic Arithmetic InText Questions
- AP Board Class 6 Maths Chapter 7 Introduction to Algebra Ex 7.1
- AP Board Class 6 Maths Chapter 7 Introduction to Algebra Ex 7.2
- AP Board Class 6 Maths Chapter 7 Introduction to Algebra Ex 7.3
- AP Board Class 6 Maths Chapter 7 Introduction to Algebra Unit Exercise
- AP Board Class 6 Maths Chapter 7 Introduction to Algebra InText Questions
- AP Board Class 6 Maths Chapter 8 Basic Geometric Concepts Ex 8.1
- AP Board Class 6 Maths Chapter 8 Basic Geometric Concepts Ex 8.2
- AP Board Class 6 Maths Chapter 8 Basic Geometric Concepts Ex 8.3
- AP Board Class 6 Maths Chapter 8 Basic Geometric Concepts Ex 8.4
- AP Board Class 6 Maths Chapter 8 Basic Geometric Concepts Unit Exercise
- AP Board Class 6 Maths Chapter 8 Basic Geometric Concepts InText Questions
- AP Board Class 6 Maths Chapter 9 2D-3D Shapes Ex 9.1
- AP Board Class 6 Maths Chapter 9 2D-3D Shapes Ex 9.2
- AP Board Class 6 Maths Chapter 9 2D-3D Shapes Ex 9.3
- AP Board Class 6 Maths Chapter 9 2D-3D Shapes Ex 9.4
- AP Board Class 6 Maths Chapter 9 2D-3D Shapes Unit Exercise
- AP Board Class 6 Maths Chapter 9 2D-3D Shapes InText Questions
- AP Board Class 6 Maths Chapter 10 Practical Geometry Ex 10.1
- AP Board Class 6 Maths Chapter 10 Practical Geometry Ex 10.2
- AP Board Class 6 Maths Chapter 10 Practical Geometry Ex 10.3
- AP Board Class 6 Maths Chapter 10 Practical Geometry Ex 10.4
- AP Board Class 6 Maths Chapter 10 Practical Geometry Unit Exercise
- AP Board Class 6 Maths Chapter 10 Practical Geometry InText Questions
- AP Board Class 6 Maths Chapter 11 Perimeter and Area Ex 11.1
- AP Board Class 6 Maths Chapter 11 Perimeter and Area Ex 11.2
- AP Board Class 6 Maths Chapter 11 Perimeter and Area Ex 11.3
- AP Board Class 6 Maths Chapter 11 Perimeter and Area Unit Exercise
- AP Board Class 6 Maths Chapter 11 Perimeter and Area InText Questions
- AP Board Class 6 Maths Chapter 12 Data Handling Ex 12.1
- AP Board Class 6 Maths Chapter 12 Data Handling Ex 12.2
- AP Board Class 6 Maths Chapter 12 Data Handling Ex 12.3
- AP Board Class 6 Maths Chapter 12 Data Handling Unit Exercise
- AP Board Class 6 Maths Chapter 12 Data Handling InText Questions
- AP Board Class 6 Maths Chapter 1 మన చుట్టూ ఉండే సంఖ్యలు Ex 1.1
- AP Board Class 6 Maths Chapter 1 మన చుట్టూ ఉండే సంఖ్యలు Ex 1.2
- AP Board Class 6 Maths Chapter 1 మన చుట్టూ ఉండే సంఖ్యలు Ex 1.3
- AP Board Class 6 Maths Chapter 1 మన చుట్టూ ఉండే సంఖ్యలు Ex 1.4
- AP Board Class 6 Maths Chapter 1 మన చుట్టూ ఉండే సంఖ్యలు Unit Exercise
- AP Board Class 6 Maths Chapter 1 మన చుట్టూ ఉండే సంఖ్యలు InText Questions
- AP Board Class 6 Maths Chapter 2 పూర్ణాంకాలు Ex 2.1
- AP Board Class 6 Maths Chapter 2 పూర్ణాంకాలు Ex 2.2
- AP Board Class 6 Maths Chapter 2 పూర్ణాంకాలు Ex 2.3
- AP Board Class 6 Maths Chapter 2 పూర్ణాంకాలు Unit Exercise
- AP Board Class 6 Maths Chapter 2 పూర్ణాంకాలు InText Questions
- AP Board Class 6 Maths Chapter 3 గ.సా.కా – క.సా.గు Ex 3.1
- AP Board Class 6 Maths Chapter 3 గ.సా.కా – క.సా.గు Ex 3.2
- AP Board Class 6 Maths Chapter 3 గ.సా.కా – క.సా.గు Ex 3.3
- AP Board Class 6 Maths Chapter 3 గ.సా.కా – క.సా.గు Ex 3.4
- AP Board Class 6 Maths Chapter 3 గ.సా.కా – క.సా.గు Ex 3.5
- AP Board Class 6 Maths Chapter 3 గ.సా.కా – క.సా.గు Ex 3.6
- AP Board Class 6 Maths Chapter 3 గ.సా.కా – క.సా.గు Ex 3.7
- AP Board Class 6 Maths Chapter 3 గ.సా.కా – క.సా.గు Unit Exercise
- AP Board Class 6 Maths Chapter 3 గ.సా.కా – క.సా.గు InText Questions
- AP Board Class 6 Maths Chapter 4 పూర్ణసంఖ్యలు Ex 4.1
- AP Board Class 6 Maths Chapter 4 పూర్ణసంఖ్యలు Ex 4.2
- AP Board Class 6 Maths Chapter 4 పూర్ణసంఖ్యలు Ex 4.3
- AP Board Class 6 Maths Chapter 4 పూర్ణసంఖ్యలు Ex 4.4
- AP Board Class 6 Maths Chapter 4 పూర్ణసంఖ్యలు Unit Exercise
- AP Board Class 6 Maths Chapter 4 పూర్ణసంఖ్యలు InText Questions
- AP Board Class 6 Maths Chapter 5 భిన్నాలు – దశాంశ భిన్నాలుs Ex 5.1
- AP Board Class 6 Maths Chapter 5 భిన్నాలు – దశాంశ భిన్నాలు Ex 5.2
- AP Board Class 6 Maths Chapter 5 భిన్నాలు – దశాంశ భిన్నాలు Ex 5.3
- AP Board Class 6 Maths Chapter 5 భిన్నాలు – దశాంశ భిన్నాలు Ex 5.4
- AP Board Class 6 Maths Chapter 5 భిన్నాలు – దశాంశ భిన్నాలు Ex 5.5
- AP Board Class 6 Maths Chapter 5 భిన్నాలు – దశాంశ భిన్నాలు Unit Exercise
- AP Board Class 6 Maths Chapter 5 భిన్నాలు – దశాంశ భిన్నాలు InText Questions
- AP Board Class 6 Maths Chapter 6 ప్రాథమిక అంకగణితం Ex 6.1
- AP Board Class 6 Maths Chapter 6 ప్రాథమిక అంకగణితం Ex 6.2
- AP Board Class 6 Maths Chapter 6 ప్రాథమిక అంకగణితం Ex 6.3
- AP Board Class 6 Maths Chapter 6 ప్రాథమిక అంకగణితం Ex 6.4
- AP Board Class 6 Maths Chapter 6 ప్రాథమిక అంకగణితం Unit Exercise
- AP Board Class 6 Maths Chapter 6 ప్రాథమిక అంకగణితం InText Questions
- AP Board Class 6 Maths Chapter 7 బీజ గణిత పరిచయం Ex 7.1
- AP Board Class 6 Maths Chapter 7 బీజ గణిత పరిచయం Ex 7.2
- AP Board Class 6 Maths Chapter 7 బీజ గణిత పరిచయం Ex 7.3
- AP Board Class 6 Maths Chapter 7 బీజ గణిత పరిచయం Unit Exercise
- AP Board Class 6 Maths Chapter 7 బీజ గణిత పరిచయం InText Questions
- AP Board Class 6 Maths Chapter 8 జ్యామితీయ భావనలు Ex 8.1
- AP Board Class 6 Maths Chapter 8 జ్యామితీయ భావనలు Ex 8.2
- AP Board Class 6 Maths Chapter 8 జ్యామితీయ భావనలు Ex 8.3
- AP Board Class 6 Maths Chapter 8 జ్యామితీయ భావనలు Ex 8.4
- AP Board Class 6 Maths Chapter 8 జ్యామితీయ భావనలు Unit Exercise
- AP Board Class 6 Maths Chapter 8 జ్యామితీయ భావనలు InText Questions
- AP Board Class 6 Maths Chapter 9 ద్విమితీయ – త్రిమితీయ ఆకారాలు Ex 9.1
- AP Board Class 6 Maths Chapter 9 ద్విమితీయ – త్రిమితీయ ఆకారాలు Ex 9.2
- AP Board Class 6 Maths Chapter 9 ద్విమితీయ – త్రిమితీయ ఆకారాలు Ex 9.3
- AP Board Class 6 Maths Chapter 9 ద్విమితీయ – త్రిమితీయ ఆకారాలు Ex 9.4
- AP Board Class 6 Maths Chapter 9 ద్విమితీయ – త్రిమితీయ ఆకారాలు Unit Exercise
- AP Board Class 6 Maths Chapter 9 ద్విమితీయ – త్రిమితీయ ఆకారాలు InText Questions
- AP Board Class 6 Maths Chapter 10 ప్రాయోజిక జ్యామితి Ex 10.1
- AP Board Class 6 Maths Chapter 10 ప్రాయోజిక జ్యామితి Ex 10.2
- AP Board Class 6 Maths Chapter 10 ప్రాయోజిక జ్యామితి Ex 10.3
- AP Board Class 6 Maths Chapter 10 ప్రాయోజిక జ్యామితి Ex 10.4
- AP Board Class 6 Maths Chapter 10 ప్రాయోజిక జ్యామితి Unit Exercise
- AP Board Class 6 Maths Chapter 10 ప్రాయోజిక జ్యామితి InText Questions
- AP Board Class 6 Maths Chapter 11 చుట్టుకొలత – వైశాల్యం Ex 11.1
- AP Board Class 6 Maths Chapter 11 చుట్టుకొలత – వైశాల్యం Ex 11.2
- AP Board Class 6 Maths Chapter 11 చుట్టుకొలత – వైశాల్యం Unit Exercise
- AP Board Class 6 Maths Chapter 11 చుట్టుకొలత – వైశాల్యం InText Questions
- AP Board Class 6 Maths Chapter 12 దత్తాంశ నిర్వహణ Ex 12.1
- AP Board Class 6 Maths Chapter 12 దత్తాంశ నిర్వహణ Ex 12.2
- AP Board Class 6 Maths Chapter 12 దత్తాంశ నిర్వహణ Ex 12.3
- AP Board Class 6 Maths Chapter 12 దత్తాంశ నిర్వహణ Unit Exercise
- AP Board Class 6 Maths Chapter 12 దత్తాంశ నిర్వహణ InText Questions
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