7th Standard Syllabus & Materials
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Published on: 02/09/2019
Algebra
Download Tamil Nadu 7th Standard Maths question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.
Questions + Answers key
Take MCQ Maths Test1.
A cricket team won two matches more than they lost. If they win they get 5 points and for loss -3 points, how many matches have they played if their total score is 50.
2.
A person has Rs.960 in denominations of Rs.1, Rs.5 and Rs.10 notes. The number of notes in each denomination is equal. What is the total number of notes?
3.
Find the numerical co-efficient of the following terms. Also, find the co efficient of x and y in each of the term: 3x, - 5xy, - yz, 7xyz, y, 16yx.
4.
The number of terms in the expression 3ab + 4c –9 is ________.
5.
The constant term of the expression 2y − 6 is ________
6.
The variable in the expression 16x − 7 is _________
7.
Sum of a - b + c and -a + b - c is zero.
8.
When y = −1, the value of the expression 2y − 1 is 3
9.
The co-efficient of ab in the term 15 abc is 15.
10.
x + ( −x) = 0
11.
The solution of 3x + 5 = x + 9 is
2
3
5
4
12.
The value of 7a − 4b when a = 3, b = 2 is
21
13
8
32
13.
Choose the pair of like terms
7p, 7x
7r, 7x
−4x, 4
−4x, 7x
14.
An algebraic expressions which is equivalent to the verbal statement “Three times the sum of x and y” is
3(x + y)
3 + x + y
3x + y
3 + xy
15.
Simplify:100x + 99y – 98z + 10x + 10y + 10z – x – y + z
16.
Add the expressions:
(i) pq −1 and 3pq + 2
(ii) 8x + 3 and 1 − 7x
1.
Let the number of matches lost = x.
Then number of matches won = x + 2.
Given that, 5(x + 2) + (−3)x = 50
5x + 10 − 3x = 50
2x + 10 = 50
2x + 10 − 10 = 50 − 10 (Subtract 10 on both sides)
2x = 40
Divide by 2 on both the sides, x = 20.
Therefore, the number of
matches played is x + x + 2 = 2x + 2 = (2 x 20) + 2
= 40 + 2
= 42
2.
Let the number of notes in each denomination be x.
Then x + 5x + 10x = 960
(1 + 5 + 10) x = 960
16x = 960
Divide by 16 on both the sides,
\(\frac { 16x }{ 16 } =\frac { 960 }{ 16 } \) = 60
Therefore, x = 60
Thus, the number of notes in each denomination is 60.
3.
| Expression | Numerical co-efficient | Co-efficient of x | Co-efficient of y |
| 3x | 3 | 3 | Not possible |
| -5xy | -5 | -5y | -5x |
| -yz | -1 | Not possible | -Z |
| 7xyz | 7 | 7yz | 7xz |
| y | 1 | Not possible | 1 |
| 16yx | 16 | 16y | 16x |
4.
( )
three
5.
( )
-6
6.
( )
x
7.
(a)
8.
(b)
9.
(b)
10.
(a)
11.
(a)
2
12.
(b)
13
13.
(d)
−4x, 7x
14.
(a)
3(x + y)
15.
In the given algebraic expression, x,y,z are the variables.
Let us group the like terms.
100x + 99y − 98z + 10x + 10y + 10z − x − y + z
= (100x + 10x − x) + (99y + 10y − y) + ( −98z + 10z + z)
= (100 + 10 − 1)x + (99 + 10 − 1)y + ( −98 + 10 + 1)z
= (110 − 1)x + (109 − 1)y + ( −98 + 11)z
= 109x + 108y + ( −87)z
= 109x + 108y − 87z.
16.
i) (pq − 1) + (3pq + 2) = (pq + 3pq) + ( − 1 + 2)
= (1 + 3)pq + 1
= 4pq + 1
ii) (8x + 3) + (1 − 7x) = 8x + 3 + 1 − 7x
= (8x − 7x) + (3 + 1)
= (8 − 7) x + 4
= x + 4.
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Tamilnadu Stateboard 7th Standard Subjects
Tamilnadu Stateboard Standards
