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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
![RS Aggarwal solutions for Mathematics [English] Class 6 chapter 8 - Algebraic Expressions - Shaalaa.com](/images/mathematics-english-class-6_6:33c16d70f7d44841a2f75f8a6c346822.jpg "RS Aggarwal solutions for Mathematics [English] Class 6 chapter 8 - Algebraic Expressions")
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Solutions for Chapter 8: Algebraic Expressions
Below listed, you can find solutions for Chapter 8 of CBSE RS Aggarwal for Mathematics [English] Class 6.
RS Aggarwal solutions for Mathematics [English] Class 6 8 Algebraic Expressions Exercise 8A [Page 130]
Write the following using literals, numbers, and signs of basic operations:
x increased by 12
Write the following using literals, numbers, and signs of basic operations:
y decreased by 7
Write the following using literals, numbers, and signs of basic operations:
The difference of a and b, when a > b
Write the following using literals, numbers, and signs of basic operations:
The product of x and y added to their sum
Write the following using literals, numbers, and signs of basic operations:
One-third of x multiplied by the sum of a and b
Write the following using literals, numbers, and signs of basic operations:
5 times x added to 7 times y
Write the following using literals, numbers, and signs of basic operations:
Sum of x and the quotient of y by 5
Write the following using literals, numbers, and signs of basic operations:
x taken away from 4
Write the following using literals, numbers, and signs of basic operations:
2 less than the quotient of x by y
Write the following using literals, numbers, and signs of basic operations:
x multiplied by itself
Write the following using literals, numbers, and signs of basic operations:
Twice x increased by y
Write the following using literals, numbers, and signs of basic operations:
Thrice x added to y squared
Write the following using literals, numbers, and signs of basic operations:
x minus twice y
Write the following using literals, numbers, and signs of basic operations:
x cubed less than y cubed
Write the following using literals, numbers, and signs of basic operations:
The quotient of x by 8 is multiplied by y
Ranjit scores 80 marks in English and x marks in Hindi. What is his total score in the two subjects?
Write the following in the exponential form:
b × b × b × ... 15 times
Write the following in the exponential form:
y × y × y × ... 20 times
Write the following in the exponential form:
14 × a × a × a × a × b × b × b
Write the following in the exponential form:
6 × x × x × y × y
Write the following in the exponential form:
3 × z × z × z × y × y × x
Write down the following in the product form: x2y4
Write down the following in the product form: 6y5
Write down the following in the product form: 9xy2z
Write down the following in the product form: 10a3b3c3
RS Aggarwal solutions for Mathematics [English] Class 6 8 Algebraic Expressions Exercise 8B [Pages 132 - 133]
If a = 2 and b = 3, find the value of a + b
If a = 2 and b = 3, find the value of a2 + ab
If a = 2 and b = 3, find the value of ab − a2
If a = 2 and b = 3, find the value of 2a − 3b
If a = 2 and b = 3, find the value of 5a2 − 2ab
If a = 2 and b = 3, find the value of a3 − b3
If x = 1, y = 2 and z = 5, find the value of 3x − 2y + 4z
If x = 1, y = 2 and z = 5, find the value of x2 + y2+ z2
If x = 1, y = 2 and z = 5, find the value of 2x2 − 3y2 + z2
If x = 1, y = 2 and z = 5, find the value of xy + yz − zx
If x = 1, y = 2 and z = 5, find the value of 2x2 y − 5yz + xy2
If x = 1, y = 2 and z = 5, find the value of x3 − y3− z3
If p = −2, q = −1 and r = 3, find the value of p2 + q2 − r2
If p = −2, q = −1 and r = 3, find the value of 2p2 − q2 + 3r2
If p = −2, q = −1 and r = 3, find the value of p − q − r
If p = −2, q = −1 and r = 3, find the value of p3 + q3 + r3 + 3pqr
If p = −2, q = −1 and r = 3, find the value of 3p2q + 5pq2 + 2pqr
If p = −2, q = −1 and r = 3, find the value of p4 + q4 − r4
Write the coefficient of x in 13x
Write the coefficient of y in −5y
Write the coefficient of a in 6ab
Write the coefficient of z in −7xz
Write the coefficient of p in −2pqr
Write the coefficient of y2 in 8xy2z
Write the coefficient of x3 in x3
Write the coefficient of x2 in −x2
Write the numerical coefficient of ab
Write the numerical coefficient of −6bc
Write the numerical coefficient of 7xyz
Write the numerical coefficient of −2x3y2z
Write the constant term of 3x2 + 5x + 8
Write the constant term of 2x2 − 9
Write the constant term of \[4 y^2 - 5y + \frac{3}{5}\]
Write the constant term of \[z^3 - 2 z^2 + z - \frac{8}{3}\]
Identify the monomials, binomials, and trinomials in the following:
−2xyz
monomials
binomials
trinomials
Identify the monomials, binomials, and trinomials in the following:
5 + 7x3y3z3
monomials
binomials
trinomials
Identify the monomials, binomials, and trinomials in the following:
−5x3
monomials
binomials
trinomials
Identify the monomials, binomials, and trinomials in the following:
a + b − 2c
monomials
binomials
trinomials
Identify the monomials, binomials, and trinomials in the following:
xy + yz − zx
monomials
binomials
trinomials
Identify the monomials, binomials, and trinomials in the following:
x5
monomials
binomials
trinomials
Identify the monomials, binomials, and trinomials in the following:
ax3 + bx2 + cx + d
monomials
binomials
trinomials
None of the above
Identify the monomials, binomials, and trinomials in the following:
−14
monomials
binomials
trinomials
Identify the monomials, binomials, and trinomials in the following:
2x + 1
monomials
binomials
trinomials
Write all the terms of the algebraic expressions:
4x5 − 6y4 + 7x2y − 9
Write all the terms of the algebraic expressions:
9x3 − 5z4 + 7z3 y − xyz
Identify the like terms in the following:
a2 , b2, −2a2, c2, 4a
Identify the like terms in the following:
3x, 4xy, −yz, `1/2`zy
Identify the like terms in the following:
−2xy2, x2y, 5y2x, x2z
Identify the like terms in the following:
abc, ab2c, acb2, c2ab, b2ac, a2bc, cab2
RS Aggarwal solutions for Mathematics [English] Class 6 8 Algebraic Expressions Exercise 8C [Pages 134 - 135]
Add 3x, 7x
Add 7y, −9y
Add 2xy, 5xy, −xy
Add 3x, 2y
Add 2x2, − 3x2, 7x2
Add 7xyz, − 5xyz, 9xyz, −8xyz
Add 6a3, − 4a3, 10a3, −8a3
Add x2 − a2, −5x2 + 2a2, −4x2 + 4a2
Add the following:
\[x - 3y - 2z\]
\[ 5x + 7y - z\]
- 7x - 2y + 4z
_______________
Add the following:
\[m^2 - 4m + 5\]
\[ - 2 m^2 + 6m - 6\]
- m^2 - 2m - 7
_______________
Add the following:
\[2 x^2 - 3xy + y^2 \]
\[ - 7 x^2 - 5xy - 2 y^2 \]
4 x2 + xy - 6 y2
_______________
Add the following:
\[4xy - 5yz - 7zx\]
\[ - 5xy + 2yz + zx\]
- 2xy - 3yz + 3zx
_______________
Add
3a − 2b + 5c, 2a + 5b − 7c, − a − b + c
Add
8a − 6ab + 5b, −6a − ab − 8b, −4a + 2ab + 3b
Add
2x3 − 3x2 + 7x − 8, −5x3 + 2x2 − 4x + 1, 3 − 6x + 5x2 − x3
Add
2x2 − 8xy + 7y2 − 8xy2, 2xy2 + 6xy − y2 + 3x2, 4y2 − xy − x2 + xy2
Add
x3 + y3 − z3 + 3xyz, − x3 + y3 + z3 − 6xyz, x3 − y3 − z3 − 8xyz
Add
2 + x − x2 + 6x3, −6 −2x + 4x2 −3x3, 2 + x2, 3 − x3 + 4x − 2x2
Subtract:
5x from 2x
Subtract:
−xy from 6xy
Subtract:
3a from 5b
Subtract:
−7x from 9y
Subtract:
10x2 from −7x2
Subtract:
a2 − b2 from b2 − a2
Subtract:
5a + 7b − 2c from 3a − 7b + 4c
Subtract:
a − 2b − 3c from −2a + 5b − 4c
Subtract:
5x2 − 3xy + y2 from 7x2 − 2xy − 4y2
Subtract:
6x3 − 7x2 + 5x − 3 from 4 − 5x + 6x2 − 8x3
Subtract:
x3 + 2x2y + 6xy2 − y3 from y3 − 3xy2 − 4x2y
Subtract:
−11x2y2 + 7xy −6 from 9x2y2 −6xy + 9
Subtract:
−2a + b + 6d from 5a − 2b − 3c
Simplify:
2p3 − 3p2 + 4p − 5 − 6p3 + 2p2 − 8p − 2 + 6p + 8
Simplify:
2x2 − xy + 6x − 4y + 5xy − 4x + 6x2 + 3y
Simplify:
x4 − 6x3 + 2x − 7 + 7x3 − x + 5x2 + 2 − x4
From the sum of 3x2 − 5x + 2 and −5x2 − 8x + 6, subtract 4x2 − 9x + 7.
If A = 7x2 + 5xy − 9y2, B = −4x2 + xy + 5y2 and C = 4y2 − 3x2 − 6xy then show that A + B + C = 0.
What must be added to 5x3 − 2x2 + 6x + 7 to make the sum x3 + 3x2 − x + 1?
Let
P = a2 − b2 + 2ab,
Q = a2 + 4b2 − 6ab,
R = b2 + 6, S = a2 − 4ab and
T = −2a2 + b2 − ab + a.
Find P + Q + R + S − T.
What must be subtracted from a3 − 4a2 + 5a − 6 to obtain a2 − 2a + 1?
How much is a + 2a − 3c greater than 2a − 3b + c?
How much less than x − 2y + 3z is 2x − 4y − z?
By how much does 3x2 − 5x + 6 exceed x3 − x2 + 4x − 1?
Subtract the sum of 5x − 4y + 6z and −8x + y − 2z from the sum of 12x − y + 3z and −3x + 5y − 8z.
By how much is 2x − 3y + 4z greater than 2x + 5y − 6z + 2?
By how much does 1 exceed 2x − 3y − 4?
RS Aggarwal solutions for Mathematics [English] Class 6 8 Algebraic Expressions Exercise 8D [Pages 136 - 137]
Simplify:
a − (b − 2a)
Simplify:
4x − (3y − x + 2z)
Simplify:
(a2 + b2 + 2ab) − (a2 + b2 −2ab)
Simplify:
−3(a + b) + 4(2a − 3b) − (2a − b)
Simplify:
−4x2 + {(2x2 − 3) − (4 − 3x2)}
Simplify:
−2(x2 − y2 + xy) −3(x2 + y2 − xy)
Simplify:
a − [2b − {3a − (2b − 3c)}]
Simplify:
−x + [5y − {x − (5y − 2x)}]
Simplify:
86 − [15x − 7(6x − 9) −2{10x − 5(2 − 3x)}]
Simplify:
12x − [3x3 + 5x2 − {7x2 − (4 − 3x − x3) + 6x3} − 3x]
Simplify:
5a − [a2 − {2a(1 − a + 4a2) − 3a(a2 − 5a − 3)}] −8a
Simplify:
3 − [x − {2y − (5x + y − 3) + 2x2} − (x2 − 3y)]
Simplify:
xy − [yz − zx − {yx − (3y − xz) − (xy − zy)}]
Simplify:
2a − 3b − [3a − 2b − {a − c − (a − 2b)}]
Simplify:
−a − [a + {a + b − 2a − (a − 2b)} − b]
Simplify:
Simplify:
5x − [4y − {7x − (3z − 2y) + 4z − 3(x + 3y − 2z)}]
Solutions for 8: Algebraic Expressions
RS Aggarwal solutions for Mathematics [English] Class 6 chapter 8 - Algebraic Expressions
Shaalaa.com has the CBSE Mathematics Mathematics [English] Class 6 CBSE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. RS Aggarwal solutions for Mathematics Mathematics [English] Class 6 CBSE 8 (Algebraic Expressions) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.
Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. RS Aggarwal textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.
Concepts covered in Mathematics [English] Class 6 chapter 8 Algebraic Expressions are Introduction to Algebra, Use of Variables in Common Rules, Expressions with Variables, Concept of Equation, The Solution of an Equation, Variable of Equation.
Using RS Aggarwal Mathematics [English] Class 6 solutions Algebraic Expressions exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in RS Aggarwal Solutions are essential questions that can be asked in the final exam. Maximum CBSE Mathematics [English] Class 6 students prefer RS Aggarwal Textbook Solutions to score more in exams.
Get the free view of Chapter 8, Algebraic Expressions Mathematics [English] Class 6 additional questions for Mathematics Mathematics [English] Class 6 CBSE, and you can use Shaalaa.com to keep it handy for your exam preparation.
