Algebraic Expressions Class 7 Worksheet 1 with Answers
1.
In the term 15x2y3z2,
find the coefficient of:
a. x2z2
b. x2
c. y3
d. z2
e. x2y3
2.
Choose the correct option.
a.
The expression (3xy – 1) is a
i. monomial
ii. binomial
iii. trinomial
iv. polynomial
b.
A trinomial has
i. one term
ii. two terms
iii. three terms
iv. more than three terms
c.
The degree of the polynomial 6x2y2 +
xy is
i. 1
ii. 2
iii. 3
iv. 4
d.
The coefficient of x in the term 3xy2z is
i. 3
ii. 3y
iii. 3y2z
iv. 3yz
3. State true
or false.
a. 7x2yz
and 12yx2z are two unlike terms.
b. Degree
of a polynomial is the degree of the highest term.
c.
Coefficient of x in 5xyz and 5xy2z2
is the same.
d. The
factors of 3abc are 3, a, b and c.
e. Product
of 8x2y3z and 4x3y2z4
is 32x5y5z5.
4.
State whether the given pair of terms are like or unlike terms.
a. 5, 25
b. 3x, –7x
c. 5x, 5y
d. 3ab, –5ba
e. ab2, a2b
f. ab, – a2b2
5. Subtract:
a. –3ab from 3ab
b. 2ab from 6ab
c. –4ab from –9ab
d.
7ab from –11ab
6. The sides of a triangle are 3x2 + 2x – 5,
2x2 + 7x + 5 and 5x2 + 6. Find the
perimeter of the given triangle.
7. Add the following.
a. 5ab, 7ab, –9ab
b. pqr, –3pqr,
4pqr
c. 2a – 5b, 5b – 4a + 1, 3a – b
d.
5x + 2, 2x + 3, –x – 7
8. What should be
added to 3a2 + 4ab to get 7a2 – 5ab?
9. Simplify: 12 + [2a
– {3b – (4a + b – 5) + 2a}] – {5a – (b
– 3)}
10. Add the following
algebraic expressions.
a. 5a + 2b and 4b + 3a
b. 8a + 2b + 3c and 3a –
3b – 5c
c. 5p + 4q + 8r and 3p +
5q + 2r
d. –3z + 4x + 7y, –5y – 4z,
6x + 4y – 7 and 12x – 3y + 5z + 4
Algebraic Expressions Class 7 Worksheet 2 with Answers
1.
Fill in the blanks.
a. Every
binomial is a ___________.
b. A polynomial has more than
___________ terms.
c. The
degree of two like terms are always ___________.
d. The
degree of the polynomial x5y + z5 is ___________.
2. Subtract (7x – 5y + 3z) from (4x – 3y
– 2z).
3. What should be added to 4x2 + 3x
– 5 to get 7x – 2?
4. Add the following.
a. 8a + 4b + 3c, 3a – 5b – 4c
b. 7p + 4q +
5r, 9p + 5q + 3r
c. –3z + 4x + 5y, – 6y – 4z
d. 5x
+ 4y – 8, 9x – 6y + 5z + 11
5. If x = 5, find the value
of:
a. 12 + 5x
b. 2x2 + 7
c. 3x2 – 4x + 8
d. 7x + 3
6. If x = 3, y = 4, z = -2, find the values of:
a. (2x + 3y + z)2
b. (x – 2) (y – 3) (z +
4)
c. (x – y)(y – z) (z – x)
d. (x + y)(x – y)
7.
Multiply: (3x2y + 5xy)
by (x2y - 2xy).
8.
Divide (2x2yz + 7xyz)
by xyz.
9.
Subtract (5x2y + 3xy)
from (7x2y - 2xy).
10. Identify
the following as monomial, binomial, trinomial or polynomial and write the
degree of each of the following:
a. 8x2y + xy
b. 3abc
c. 2x – 6y + 4z
d. x2 + y2 + z2
+ a
ANSWERS
Worksheet 1
1. a. 15y3
b. 15y3z2
c. 15x2z2 d. 15x2y3
e. 15z2
2. a. ii b. iii
c. iv d. iii
3. a. False b. True
c. False d. True
e. True
4. a. Like b. Like
c. Unlike d. Like
e. Unlike f. Unlike
5. a. 6ab b. 4ab
c. -5ab d. -18ab
6. 10x2 + 9x + 6
7. a. 3ab b. 2pqr
c. a – b d. 6x – 2
8. 4a2 – 9ab
9. -4a + 2b + 4
10. a. 8a + 6b
b. 11a – b – 2c
c. 8p + 9q + 10r
d. 22x + 3y – 2z – 3
Worksheet 2
1. a. polynomial
b. one c. equal
d. 6
2. -3x + 2y – 5z
3. -4x2 + 4x + 3
4. a. 11a – b – c
b. 16p + 9q + 8r
c. 4x – y – 7z
d. 14x – 2y + 5z + 3
5. a. 37 b. 57
c. 63 d. 38
6. a. 256 b. 2
c. 30 d. -7
7. 3x4y2 – x3y2 – 10x2y2
8. 2x + 7
9. 2x2y – 5xy
10. a. Binomial; Degree: 3
b. Monomial; Degree: 3
c. Trinomial; Degree: 1
d. Polynomial; Degree:
2
MCQs Questions for Class 7 Maths
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| Maths Worksheets for Other Chapters of Class 7 |
1. Integers questions for class 7
2. HCF and LCM questions for class 7
3. Fraction questions for class 7
4. Decimals class 7 worksheets
5. Exponents and powers class 7 worksheet
6. Rational numbers class 7 worksheet
8. Linear equations class 7 worksheet
9. Ratio and proportion class 7 worksheet
10. Percentage worksheet for class 7
11. Profit and loss class 7 worksheet
12. Simple interest worksheet for class 7
13. Lines and angles class 7 worksheets
14. Triangle and its properties class 7 worksheets
15. Congruence of triangles class 7 worksheets
16. Symmetry worksheet for class 7
17. Constructions worksheet for class 7
18. Perimeter and area class 7 worksheets
19. Data handling class 7 worksheet
Some Extra Worksheets for ICSE Maths Class 7
1. Sets Class 7 ICSE Worksheets
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