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![Samacheer Kalvi solutions for Mathematics - Term 2 [English] Class 7 TN Board chapter 3 - Algebra - Shaalaa.com](/images/mathematics-term-2-english-class-7-tn-board_6:5f2b1b2038084cf381bfa42c826a928c.jpg "Samacheer Kalvi solutions for Mathematics - Term 2 [English] Class 7 TN Board chapter 3 - Algebra")
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Solutions for Chapter 3: Algebra
Below listed, you can find solutions for Chapter 3 of Tamil Nadu Board of Secondary Education Samacheer Kalvi for Mathematics - Term 2 [English] Class 7 TN Board.
Samacheer Kalvi solutions for Mathematics - Term 2 [English] Class 7 TN Board 3 Algebra Exercise 3.1 [Pages 51 - 53]
Fill in the blanks
The exponential form 149 should be read as _______________
The expanded form of p3 q2 is ________________
When base is 12 and exponent is 17, its exponential form is _____________
The value of (14 × 21)0 is _______________
Say True or False
23 × 32 = 65
True
False
29 × 32 = (2 × 3)9×2
True
False
34 × 37 = 311
True
False
20 × 10000
True
False
23 < 32
True
False
Find the value of the following.
26
Find the value of the following.
112
Find the value of the following.
54
Find the value of the following.
93
Express the following in exponential form.
6 × 6 × 6 × 6
Express the following in exponential form.
t × t
Express the following in exponential form.
5 × 5 × 7 × 7 × 7
Express the following in exponential form.
2 × 2 × a × a
Express the following numbers using exponential form.
512
Express the following numbers using exponential form.
343
Express the following numbers using exponential form.
729
Express the following numbers using exponential form.
3125
Identify the greater number in the following.
63 or 36
Identify the greater number in the following.
53 or 35
Identify the greater number in the following.
28 or 82
Simplify the following.
72 × 34
Simplify the following.
32 × 24
Simplify the following.
52 × 104
Find the value of the following.
(−4)2
Find the value of the following.
(−3) × (−2)3
Find the value of the following.
(−2)3 × (−10)3
Simplify using law of exponents.
35 × 38
Simplify using law of exponents.
a4 × a10
Simplify using law of exponents.
7x × 72
Simplify using law of exponents.
25 ÷ 23
Simplify using law of exponents.
188 ÷ 184
Simplify using law of exponents.
(64)3
Simplify using law of exponents.
(xm)0
Simplify using law of exponents.
95 × 35
Simplify using law of exponents.
3y × 12y
Simplify using law of exponents.
256 × 56
If a = 3 and b = 2, then find the value of the following.
ab + ba
If a = 3 and b = 2, then find the value of the following.
aa – bb
If a = 3 and b = 2, then find the value of the following.
(a + b)b
If a = 3 and b = 2, then find the value of the following.
(a – b)a
Simplify and express the following in exponential form:
45 × 42 × 44
Simplify and express the following in exponential form:
(32 × 33)7
Simplify and express the following in exponential form:
(52 × 58) ÷ 55
Simplify and express the following in exponential form:
20 × 30 × 40
Simplify and express the following in exponential form:
`(4^5 xx "a"^8 xx "b"^3)/(4^3 xx "a"^5 xx "b"^2)`
Objective type questions
a × a × a × a × a is equal to
a5
5a
5a
a + 5
The exponential form of 72 is
72
27
22 × 33
23 × 32
The value of x in the equation a13 = x3 × a10 is
a
13
3
10
How many zeros are there in 10010?
2
3
10
20
240 + 240 is equal to
440
280
241
480
Samacheer Kalvi solutions for Mathematics - Term 2 [English] Class 7 TN Board 3 Algebra Exercise 3.2 [Pages 56 - 57]
Fill in the blanks.
Unit digit of 124 × 36 × 980 is _____________
When the unit digit of the base and its expanded form of that number is 9, then the exponent must be ____________ power.
Match the following:
| Group A Exponential form |
Group B Unit digit of the number |
| (i) 2010 | (a) 6 |
| (ii) 12111 | (b) 4 |
| (iii) 44441 | (c) 0 |
| (iv) 25100 | (d) 1 |
| (v) 71683 | (e) 9 |
| (vi) 729725 | (f) 5 |
Find the unit digit of expanded form.
2523
Find the unit digit of expanded form.
1110
Find the unit digit of expanded form.
4615
Find the unit digit of expanded form.
10012
Find the unit digit of expanded form.
2921
Find the unit digit of expanded form.
1912
Find the unit digit of expanded form.
2425
Find the unit digit of expanded form.
3416
Find the unit digit of the following numeric expression.
11420 + 11521 + 11622
Find the unit digit of the following numeric expression.
1000010000 + 1111111111
Objective type questions
Observe the equation (10 + y)4 = 50625 and find the value of y
1
5
4
0
The unit digit of (32 × 65)0 is
2
5
0
1
The unit digit of the numeric expression 1071 + 1072 + 1073 is
0
3
1
2
Samacheer Kalvi solutions for Mathematics - Term 2 [English] Class 7 TN Board 3 Algebra Exercise 3.3 [Pages 61 - 62]
Fill in the blanks
The degree of the term a3b2c4d2 is ___________
Degree of the constant term is ______________
The coefficient of leading term of the expression 3z2y + 2x – 3 is _________
Say True or False
The degree of m2n and mn2 are equal
True
False
7a2b and −7ab2 are like terms
True
False
The degree of the expression −4x2 yz is −4
True
False
Any integer can be the degree of the expression
True
False
Find the degree of the following terms.
5x2
Find the degree of the following terms.
−7ab
Find the degree of the following terms.
12pq2r2
Find the degree of the following terms.
−125
Find the degree of the following terms.
3z
Find the degree of the following expression.
x3 – 1
Find the degree of the following expression.
3x2 + 2x + 1
Find the degree of the following expression.
3t4 – 5st2 + 7s2t2
Find the degree of the following expression.
5 – 9y + 15y2 – 6y3
Find the degree of the following expression.
u5 + u4v + u3v2 + u2v3 + uv4
Identify the like terms: 12x3y2z, – y3x2z, 4z3y2x, 6x3z2y, – 5y3x2z
Add and find the degree of the following expressions.
(9x + 3y) and (10x – 9y)
Add and find the degree of the following expressions.
(k2 – 25k + 46) and (23 – 2k2 + 21k)
Add and find the degree of the following expressions.
(3m2n + 4pq2) and (5nm2 – 2q2p)
Simplify and find the degree of the following expression.
10x2 – 3xy + 9y2 – (3x2 – 6xy – 3y2)
Simplify and find the degree of the following expression.
9a4 – 6a3 – 6a4 – 3a2 + 7a3 + 5a2
Simplify and find the degree of the following expression.
4x2 – 3x – [8x – (5x2 – 8)]
Objective type questions
3p2 – 5pq + 2q2 + 6pq – q2 + pq is a
Monomial
Binomial
Trinomial
Quadrinomial
The degree of 6x7 – 7x3 + 4 is
7
3
6
4
If p(x) and q(x) are two expressions of degree 3, then the degree of p(x) + q(x) is
6
0
3
Undefined
Samacheer Kalvi solutions for Mathematics - Term 2 [English] Class 7 TN Board 3 Algebra Exercise 3.4 [Pages 62 - 63]
Miscellaneous Practice problems
62 × 6m = 65, find the value of ‘m’
Find the unit digit of 124128 × 126124
Find the unit digit of the numeric expression: 1623 + 7148 + 5961
Find the value of `((-1)^6 xx (-1)^7 xx (-1)^8)/((-1)^3 xx (-1)^5)`
Identify the degree of the expression, 2a3bc + 3a3b + 3a3c – 2a2b2c2
If p = −2, q = 1 and r = 3, find the value of 3p2q2r
Challenge Problems
LEADERS is a WhatsApp group with 256 members. Every one of its member is an admin for their own WhatsApp group with 256 distinct members. When a message is posted in LEADERS and everybody forwards the same to their own group, then how many members in total will receive that message?
Find x such that 3x+2 = 3x + 216
If X = 5x2 + 7x + 8 and Y = 4x2 – 7x + 3, then find the degree of X + Y
Find the degree of (2a2 + 3ab – b2) – (3a2 – ab – 3b2)
Find the value of w, given that x = 3, y = 4, z = – 2 and w = x2 – y2 + z2 – xyz
Simplify and find the degree of 6x2 + 1 – [8x – {3x2 – 7 – (4x2 – 2x + 5x + 9)}]
The two adjacent sides of a rectangle are 2x2 – 5xy + 3z2 and 4xy – x2 – z2. Find the perimeter and the degree of the expression
Solutions for 3: Algebra
Samacheer Kalvi solutions for Mathematics - Term 2 [English] Class 7 TN Board chapter 3 - Algebra
Shaalaa.com has the Tamil Nadu Board of Secondary Education Mathematics Mathematics - Term 2 [English] Class 7 TN Board Tamil Nadu Board of Secondary Education 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. Samacheer Kalvi solutions for Mathematics Mathematics - Term 2 [English] Class 7 TN Board Tamil Nadu Board of Secondary Education 3 (Algebra) 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.
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Concepts covered in Mathematics - Term 2 [English] Class 7 TN Board chapter 3 Algebra are Degree of Expressions, Concept of Exponents, Laws of Exponents, Multiplying Powers with the Same Base, Dividing Powers with the Same Base, Taking Power of a Power, Multiplying Powers with Different Base and Same Exponents, Dividing Powers with Different Base and Same Exponents, Unit Digit of Numbers in Exponential Form, Algebraic Expressions, Terms, Factors and Coefficients of Expression, Like and Unlike Terms.
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