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Published on: 13/05/2022
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Questions + Answers key
Take MCQ Maths Test1.
Add: 2a + b + 3c and \(a+\frac { 1 }{ 3 } b+\frac { 2 }{ 5 } \)c
2.
Give an algebraic equation for the following statement:
“ The difference between the area and perimeter of a rectangle is 20”.
3.
How much smaller is 2ab + 4b − c than 5ab − 3b + 2c ?
4.
Find the perimeter of a triangle whose sides are x + 3y, 2x + y, x − y.
5.
Six times a number subtracted from 40 gives −8. Find the number.
1.
\((2 a+b+3 c)+\left(a+\frac{1}{3} b+\frac{2}{5} c\right) \)
\(=(2 a+a)+\left(b+\frac{1}{3} b\right)+\left(3 c+\frac{2}{5} c\right) \)
\(=(2+1) a+\left(1+\frac{1}{3}\right) b+\left(3+\frac{2}{5}\right) c \)
\(=3 a+\frac{4}{3} b+\frac{17}{5} c \)
2.
Area of rectangle = l x b
Perimeter of rectangle = 2(l + b)
Their difference is 20.
Algebraic equation is I x b - 2(l + b) = 20
3.
(5ab - 3b + 2c) - (2ab + 4b - c)
= (5ab - 3b + 2c) + (-2ab - 4b + c)
= (5ab - 2ab) + (-3b - 4b) + (2c + c)
= (5 - 2)ab + (-3- 4)b + (2 + 1)c
= 3ab + (-7)b + 3c
= 3ab - 7b + 3c
4.
Perimeter of a triangle = Sum of 3 sides
(x + 3y) + (2x +y) + (x - y)
= (x + 2x + x) + (3y + y - y)
= (1+ 2 + 1 ) x + (3 + 1 - 1 )y
= 4x + 3y
5.
Let the number be x.
According to the condition,
Given 40 - 6x = -8
40 - 6x - 40 = - 8 - 4
[Subtract 40 on both sides]
-6x = - 48
\(\cfrac { -6x }{ -6 } =\cfrac { -48 }{ -6 } \)
[Divide by -6 on both sides]
x = 8
\(\therefore\) The number is 8
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Tamilnadu Stateboard 7th Standard Subjects
Tamilnadu Stateboard Standards
