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Algebraic Expressions
Get the algebraicexpressions in the following cases using variables, constants and arithmetic operations.
(i) Subtraction of z from y.
(ii) One-half of the sum of numbers x and y.
(iii) The number z multiplied by itself.
(iv) One-fourth of the product of numbers p and q.
(v) Numbers x and y both squared and added.
(vi) Number 5 added to three times the product of number m and n.
(vii) Product of numbers y and z subtracted from 10.
(viii)Sum of numbers a and b subtracted from their product.
(i) y − z
(ii)
(iii) z2
(iv)
(v) x2 + y2
(vi) 5 + 3 (mn)
(vii) 10 − yz
(viii) ab − (a + b)
Identify the numerical coefficients of terms (other than constants) in the following expressions:
(i) 5 − 3t2 (ii) 1 + t + t2 + t3 (iii) x + 2xy+ 3y
(iv) 100m + 1000n (v) − p2q2 + 7pq (vi) 1.2a + 0.8b
(vii) 3.14 r2 (viii) 2 (l + b) (ix) 0.1y + 0.01 y2
|
Row |
Expression |
Terms |
Coefficients |
|
(i) |
5 − 3t2 |
− 3t2 |
− 3 |
|
(ii) |
1 + t + t2 + t3 |
t t2 t3 |
1 1 1 |
|
(iii) |
x + 2xy + 3y |
x 2xy 3y |
1 2 3 |
|
(iv) |
100m + 1000n |
100m 1000n |
100 1000 |
|
(v) |
− p2q2 + 7pq |
− p2q2 7pq |
− 1 7 |
|
(vi) |
1.2a +0.8b |
1.2a 0.8b |
1.2 0.8 |
|
(vii) |
3.14 r2 |
3.14 r2 |
3.14 |
|
(viii) |
2(l + b) |
2l 2b |
2 2 |
|
(ix) |
0.1y + 0.01y2 |
0.1y 0.01y2 |
0.1 0.01 |
(a) Identify terms which contain x and give the coefficient of x.
(i) y2x + y (ii) 13y2− 8yx (iii) x + y + 2
(iv) 5 + z + zx (v) 1 + x+ xy (vi) 12xy2 + 25
(vii) 7x + xy2
(b) Identify terms which contain y2 and give the coefficient of y2.
(i) 8 − xy2 (ii) 5y2 + 7x (iii) 2x2y −15xy2 + 7y2
(a)
-
Row
Expression
Terms with x
Coefficient of x
(i)
y2x + y
y2x
y2
(ii)
13y2 − 8yx
− 8yx
−8y
(iii)
x + y + 2
x
1
(iv)
5 + z + zx
zx
z
(v)
1 + x + xy
x
xy
1
y
(vi)
12xy2 + 25
12xy2
12y2
(vii)
7x+ xy2
7x
xy2
7
y2
(b)
-
Row
Expression
Terms with y2
Coefficient of y2
(i)
8 − xy2
−xy2
− x
(ii)
5y2 + 7x
5y2
5
(iii)
2x2y + 7y2
−15xy2
7y2
−15xy2
7
−15x
Classify into monomials, binomials and trinomials.
(i) 4y − 7z (ii) y2 (iii) x + y − xy
(iv) 100 (v) ab − a − b (vi) 5 − 3t
(vii) 4p2q − 4pq2 (viii) 7mn (ix) z2 − 3z + 8
(x) a2 + b2 (xi) z2 + z (xii) 1 + x + x2
The monomials, binomials, and trinomials have 1, 2, and 3 unlike terms in it respectively.
(i) 4y − 7z
Binomial
(ii) y2
Monomial
(iii) x + y − xy
Trinomial
(iv) 100
Monomial
(v) ab − a − b
Trinomial
(vi) 5 − 3t
Binomial
(vii) 4p2q − 4pq2
Binomial
(viii) 7mn
Monomial
(ix) z2 − 3z + 8
Trinomial
(x) a2 + b2
Binomial
(xi) z2 + z
Binomial
(xii) 1 + x + x2
Trinomial
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Mock Test Series
Mock Test Series