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Published on: 09/10/2019
Algebraic Expressions
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Questions + Answers key
Take MCQ Mathematics Test
1.
Identify the like terms in the following algebraic expressions
a2bc2 + ab2c + 4b2a2c + 6abc2 + 7a2b2c2
2.
Identify the like terms in the following algebraic expressions
xyz + xy2 Z + 2xy2 Z + 3z2 xy + y2 XZ - 2X2 yz + 3xzy2
3.
What should be subtracted from x3 - 4x2 + 5x - 6 to get X2 - 2x + 1?
4.
Simplify and write the correct answer. - a - [a + {a + b - 2a - (a - 2b)} - b]
5.
Simplify the following expression and find its value, when p = 4 and q = - 3 2(p2 + pq) + 3 - pq
6.
In the adjoining figure, the length of a green side is given by 9 and that of the red side is given by p. What is the total length of 3 such figures?
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7.
A taxi service Charges Rs 8 per km and a fixed charge of Rs.50. Write an algebraic expression for the above situation, if the taxi is hired for x km.
8.
How much does 93p2 - 55p + 4 exceed 13p3 - 5p2 + 17p - 90?
9.
How much is y4 -12y2 +y+14greaterthan 17y3 + 34y2 - 51y + 68?
10.
How much is 21a3 - 17a2 - less than 89a3 - 64a2 + 6a + 16?
1.
No like terms
2.
xy2 Z, 2xy2 Z, y2 xz, 3xzy2
3.
x3 - 5x2 + 7x - 7
4.
-2b
5.
23
6.
When we take three figures
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Expression for toatl length of three figures
= 3(2g + 2p) = 6g + 6q
7.
As per the gillen information, taxi service charges
Rs. 8 per km and fixed charge of' Rs. 50.
If taxi is hired for x km.
Then, algebraic expression for the situation is
8 x x + 50
\(\therefore\) 8x + 50 is the required expression.
8.
Required expression is
93p2 -55p+ 4-(13p3 -5p2 +17p-90)
= 93p2 - 55p + 4 -13p3 + 5p2 -17 P + 90
= 93p2 + 5p2 - 55p -17p + 4 + 90 -13p3
= 98p2 -72p + 94 -13p3
= -13p3 + 98p2 - 72p + 94
So, 93p2 - 55p + 4 is -13p3 + 98p2 -72p + 94
exceed from 13p3 - 5p2 + 17P - 90.
9.
Required expression is
y4 -12y2 + Y + 14 -(17y3 + 34y2 - 51y + 68)
= y4 -12y2 + Y + 14 -17y3 - 34y2 + 51y - 68
= y4 -12y2 - 34y2 + Y + 51y+ 14 - 68 -17y3
= y4 - 46y2 + 52y - 54 -17 y3
= y4 -17y3 - 46y2 + 52y - 54
So, y4 -12y2 + Y + 14is y4 -17y3 - 46y2 + 52y- 54
greater than 17y3 + 34y2 - 51y + 68.
10.
Required expression is
89a3 - 64a2 + 6a + 16 - (21a3 -17a2)
= 89a3 - 64a2 + 6a + 16 - 21a3 + 17a2
= 89a3 - 21a3 - 64a2 + 17a2 + 6a + 16
= 68a3 - 47a2 + 6a + 16
So, 21a3 -17a2 is 68a3 - 47a2 + 6a + 161ess than
89a3 - 64a2 + 6a + 16.
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CBSE 7th Standard CBSE Subjects
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