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Chapters
2: Factors and Multiples
3: Whole Numbers
4: Integers
Chapter 5: Fractions
6: Simplification
7: Decimals
8: Algebraic Expressions
▶ 9: Linear Equation in One Variable
10: Ratio, Proportion and Unitary Method
Chapter 11: Line Segment, Ray and Line
Chapter 12: Parallel Lines
Chapter 13: Angles and Their Measurement
Chapter 14: Constructions (Using Ruler and a Pair of Compasses)
Chapter 15: Polygons
Chapter 16: Triangles
Chapter 17: Quadrilaterals
Chapter 18: Circles
Chapter 19: Three-Dimensional Shapes
Chapter 20: Two-Dimensional Reflection Symmetry (Linear Symmetry)
Chapter 21: Concept of Perimeter and Area
Chapter 22: Data Handling
Chapter 23: Pictograph
Chapter 24: Bar Graph
![R.S. Aggarwal solutions for Mathematics [English] Class 6 chapter 9 - Linear Equation in One Variable - Shaalaa.com](/images/mathematics-english-class-6_6:33c16d70f7d44841a2f75f8a6c346822.jpg "R.S. Aggarwal solutions for Mathematics [English] Class 6 chapter 9 - Linear Equation in One Variable")
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Solutions for Chapter 9: Linear Equation in One Variable
Below listed, you can find solutions for Chapter 9 of CBSE R.S. Aggarwal for Mathematics [English] Class 6.
R.S. Aggarwal solutions for Mathematics [English] Class 6 9 Linear Equation in One Variable Exercise 9A [Pages 139 - 140]
Write the following statement as an equation:
5 times a number equals 40.
Write the following statement as an equation:
A number increased by 8 equals 15.
Write the following statement as an equation:
25 exceeds a number by 7.
Write the following statement as an equation:
A number exceeds 5 by 3.
Write the following statement as an equation:
5 subtracted from thrice a number is 16.
Write the following statement as an equation:
If 12 is subtracted from a number, the result is 24.
Write the following statement as an equation:
Twice a number subtracted from 19 is 11.
Write the following statement as an equation:
A number divided by 8 gives 7.
Write the following statement as an equation:
3 less than 4 times a number is 17.
Write the following statement as an equation:
6 times a number is 5 more than the number.
Write a statement for the equation, given below:
x − 7 = 14
Write a statement for the equation, given below:
2y = 18
Write a statement for the equation, given below:
11 + 3x = 17
Write a statement for the equation, given below:
2x − 3 = 13
Write a statement for the equation, given below:
12y − 30 = 6
Write a statement for the equation, given below:
Verify by substitution that the root of 3x − 5 = 7 is x = 4.
Verify by substitution that the root of 3 + 2x = 9 is x = 3.
Verify by substitution that the root of 5x − 8 = 2x − 2 is x = 2
Verify by substitution that the root of 8 − 7y = 1 is y = 1
Verify by substitution that the root of \[\frac{z}{7} = 8\]
Solve the following equation by the trial-and-error method: y + 9 = 13
Solve the following equation by the trial-and-error method: x − 7 = 10
Solve the following equation by the trial-and-error method: 4x = 28
Solve the following equation by the trial-and-error method: 3y = 36
Solve the following equation by the trial-and-error method: 11 + x = 19
Solve the following equation by the trial-and-error method: `x/3`= 4
Solve the following equation by the trial-and-error method: 2x − 3 = 9
Solve the following equation by the trial-and-error method: `1/2x+7=11`
Solve the following equation by the trial-and-error method: 2y + 4 = 3y
Solve the following equation by the trial-and-error method: z − 3 = 2z − 5
R.S. Aggarwal solutions for Mathematics [English] Class 6 9 Linear Equation in One Variable Exercise 9B [Page 143]
Solve the following equation and verify the answer:
x + 5 = 12
Solve the following equation and verify the answer:
x + 3 = −2
Solve the following equation and verify the answer:
x − 7 = 6
Solve the following equation and verify the answer:
x − 2 = −5
Solve the following equation and verify the answer:
3x − 5 = 13
Solve the following equation and verify the answer:
4x + 7 = 15
Solve the following equation and verify the answer:
`x/5`=12
Solve the following equation and verify the answer:
`(3x)/5`=15
Solve the following equation and verify the answer:
5x − 3 = x + 17
Solve the following equation and verify the answer:
`2x-1/2=3`
Solve the following equation and verify the answer:
3(x + 6) = 24
Solve the following equation and verify the answer:
6x + 5 = 2x + 17
Solve the following equation and verify the answer:
`x/4-8=1`
Solve the following equation and verify the answer:
`x/2=x/3+1`
Solve the following equation and verify the answer:
3(x + 2) − 2(x − 1) = 7
Solve the following equation and verify the answer:
5(x-1) +2(x+3) + 6 = 0
Solve the following equation and verify the answer:
6(1 − 4x) + 7(2 + 5x) = 53
Solve the following equation and verify the answer:
16(3x − 5) − 10(4x − 8) = 40
Solve the following equation and verify the answer:
3(x + 6) + 2(x + 3) = 64
Solve the following equation and verify the answer:
3(2 − 5x) − 2(1 − 6x) = 1
Solve the following equation and verify the answer:
Solve the following equation and verify the answer:
Solve the following equation and verify the answer:
Solve the following equation and verify the answer:
Solve the following equation and verify the answer:
Solve the following equation and verify the answer:
R.S. Aggarwal solutions for Mathematics [English] Class 6 9 Linear Equation in One Variable Exercise 9C [Pages 144 - 145]
If 9 is added to a certain number, the result is 36. Find the number.
If 11 is subtracted from 4 times a number, the result is 89. Find the number.
Find a number which when multiplied by 5 is increased by 80.
The sum of three consecutive natural numbers is 114. Find the numbers.
When Raju multiplies a certain number by 17 and adds 4 to the product, he gets 225. Find that number.
If a number is tripled and the result is increased by 5, we get 50. Find the number.
Find two numbers such that one of them exceeds the other by 18 and their sum is 92.
One out of two numbers is thrice the other. If their sum is 124, find the numbers.
Find two numbers such that one of them is five times the other and their difference is 132.
The sum of two consecutive even numbers is 74. Find the numbers.
The sum of three consecutive odd numbers is 21. Find the numbers.
Reena is 6 years older than her brother Ajay. If the sum of their ages is 28 years, what are their present ages?
Deepak is twice as old as his brother Vikas. If the difference between their ages is 11 years, find their present ages.
Mrs. Goel is 27 years older than her daughter Rekha. After 8 years she will be twice as old as Rekha. Find their present ages.
A man is 4 times as old as his son. After 16 years he will be only twice as old as his son. Find their present ages.
A man is thrice as old as his son. Five years ago the man was four times as old as his son. Find their present ages.
After 16 years, Fatima will be three times as old as she is now. Find her present age.
After 32 years, Rahim will be 5 times as old as he was 8 years ago. How old is Rahim today?
A bag contains 25-paisa and 50-paisa coins whose total value is Rs 30. If the number of 25-paisa coins is four times that of 50-paisa coins, find the number of each type of coins.
Five times the price of a pen is Rs 17 more than three times its price. Find the price of the pen.
The number of boys in a school is 334 more than the number of girls. If the total strength of the school is 572, find the number of girls in the school.
The length of a rectangular park is thrice its breadth. If the perimeter of the park is 168 metres, fund its dimensions.
The length of a rectangular hall is 5 metres more than its breadth. If the perimeter of the hall is 74 metres, find its length and breadth.
A wire of length 86 cm is bent in the form of a rectangle such that its length is 7 cm more than its breadth. Find the length and the breadth of the rectangle so formed.
R.S. Aggarwal solutions for Mathematics [English] Class 6 9 Linear Equation in One Variable Test Paper 9 [Page 146]
A man earns Rs 25 per hour. How much does he earn in x hours?
The cost of 1 pen is Rs 16 and the cost of 1 pencil is Rs 5. What is the total cost of x pens and y pencils?
Lalit earns Rs x per day and spends Rs y per day. How much does he save in 30 days?
Three times a number added to 8 gives 20. Find the number.
If x = 1, y = 2 and z = 3, find the value of x2 + y2 + 2xyz.
Solve: 4x + 9 = 17.
Solve: 3(x + 2) − 2(x − 1) = 7.
Solve:
The sum of three consecutive natural numbers is 51. Find the numbers.
After 16 years, Seema will be three times as old as she is now. Find her present age.
By how much does I exceed 2x − 3y − 4?
2x − 3y − 5
2x − 3y − 3
5 − 2x + 3y
none of these
What must be added to 5x3 − 2x2 + 6x + 7 to make the sum x3 + 3x2 − x + 1?
4x3 − 5x2 + 7x + 6
−4x3 + 5x2 − 7x − 6
4x3 + 5x2 − 7x + 6
none of these
2x − [3y − {2x − (y − x)}] = ?
5x − 4y
4y − 5x
5y − 4x
4x − 5y
The coefficient of x in −5xyz is
−5
5yz
−5yz
yz
`1/3(x+7+z)` is a
monomial
binomial
trinomial
quadrinomial
If `x/5=1`, then
`x=1/5`
x = 5
x = (5 + 1)
none of these
If x = 1, y = 2 and z = 3 then (x2 + y2 + z2) = ?
6
12
14
15
If \[\frac{1}{3} x + 5 = 8\], then x = ?
3
6
9
12
Fill in the blank.
An expression having one term is called a______
Fill in the blank.
An expression having two-term is called a______
Fill in the blank.
An expression having three-term is called a ______
Fill in the blank.
3x − 5 = 7 − x ⇒ x = ______
Fill in the blank.
(b2 − a2) − (a2 − b2)= ______
Write 'T' for true and 'F' for false for the statement given below:
−3xy2z is a monomial.
True
False
Write 'T' for true and 'F' for false for the statement given below:
`x=2/3` is solution of 2x + 5 = 8.
True
False
Write 'T' for true and 'F' for false for the statement given below:
2x + 3 = 5 is a linear equation.
True
False
Write 'T' for true and 'F' for false for the statement given below:
The coefficient of x in 5xy is 5.
True
False
Write 'T' for true and 'F' for false for the statement given below:
8 − x = 5 ⇒ x = 3.
True
False
Solutions for 9: Linear Equation in One Variable
R.S. Aggarwal solutions for Mathematics [English] Class 6 chapter 9 - Linear Equation in One Variable
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Concepts covered in Mathematics [English] Class 6 chapter 9 Linear Equation in One Variable are .
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