WorksheetsAlgebraic Expressions and Identities - II
Total questions: 8
Worksheet time: 13mins
Name
Class
Date
1.
Which of the following expression is equivalent to the expression (y − x + 3) (y + x − 3)?
a)
y2 − (x − 3)2
b)
(y − x)2 − 9
c)
x2 − (y + 3)
d)
(x + y)2 − 9
2.
The simplified form of the expression (y2 + 5)(y2 - 3) is
a)
y4 - 3y2 - 15
b)
y4 + 2y2 + 15
c)
y4 - 3y2 + 15
d)
y4 + 2y2 - 15
3.
Which of the following expressions is equivalent to the expression 945 × 855?
a)
9002 − 452
b)
9002 + 452
c)
9002 + (45 + 55) 900 + (45 × 55)
d)
8002 + (45 + 55) 800 + 45 × 55
4.
Which of the following expressions is equivalent to the expression 415 × 385?
a)
160000 + 225
b)
160000 − 225
c)
(40)2 + 15 × 85
d)
(40)2 − 15 × 85
5.
Which of the following expressions is equivalent to the expression 706 × 695?
a)
(600)2 + 600 − 6 × 5
b)
(700)2 + 700 − 6 × 5
c)
6002 + (95 + 6) 600 − 11
d)
7002 + (95 + 6) 700 − 11
6.
Find the product of (2x - 3y)(2x + 5y) using suitable identity.
a)
x2 + 4xy - 15xy
b)
2x2 + 4xy - 15xy
c)
x2 - 15xy - 15xy
d)
2x2 - 6xy - 15xy
7.
Simplify the following product (zx - y)(zx + k) using suitable identity.
a)
z2x2 + (y - k)zx - ky
b)
z2x2 + (k - y)zx - ky
c)
z2x2 + (k - y)zx + ky
d)
z2x2 + (y - k)zx + ky
8.
Simplify (a - b + c)(a + b + c)
a)
a2 + 2ab + b2 - c2
b)
a2 + 2ac + c2 - b2
c)
a2 + 2bc - c2 - b2
d)
a2 + 2ac + c2 - b2
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