CBSE 7th Standard Mathematics Algebraic Expressions Important Questions And Answers Study Material - QB365 Set E | QB365

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CBSE 7th Standard Mathematics Algebraic Expressions Important Questions And Answers Study Material - QB365 Set E

Published on: 31/10/2025

Question Set E

CBSE 7th Standard Mathematics Algebraic Expressions Important Questions And Answers Study Material - QB365

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Std: 7th Standard CBSE - Mathematics

chapter: Algebraic Expressions - Important Questions And Answers

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Questions:

Generic 2

7 x 2 = 14

If m = 2, find the value of 9 - 5m

Subtract; a(b-5) from b(5-a)

Find the factors of 15x²y²

Classify into monomials, binomials and trinomials.z² +z

Identify terms which contain x and give the coefficient of x. 13y² - 8yx

Identify the terms and their factors in the following expressions. Show that the terms and factors by tree diagrams. - x - 3

Draw a tree diagram for each expression - 4y + 3x²

Generic 3

3 x 3 = 9

Find the value of the given expression, if y = 2.\(({1\over3}y^2-{4\over7}y^2+5)-({2\over7}y-{2\over3}y^3+2)\)

Simplify the expression 2(a² + ab) + 3 - ab and find its value, when a = 5 and b = - 3

10.

Add and subtract mn + 5 - 2, mn + 3

Generic 5

4 x 5 = 20

11.

Identify the like terms in the following algebraic expressions
a²bc² + ab²c + 4b²a²c + 6abc² + 7a²b²c²

12.

Simplify the following expression and find its value, when p = 4 and q = - 3 2(p² + pq) + 3 - pq

13.

Rohan's mother gave him Rs 3xy² and his father gave him Rs5(xy² + 2). Out of this total money, he spent Rs(10 - 3xy²) on his birthday party. How much money is left with him? Which value is depicted here?

14.

Add (5x² - 7y² + 4z²)to the sum of (7x² -5y² +3z²)and(x² -y²).

Multiple Choice Question

5 x 1 = 5

15.

What is the coefficient of y²in expression 6y² + 2?

(a)

(b)

(c)

y²

(d)

none of these

16.

The value of 3x² - 5x + 3 when x = 1 is

(a)

(b)

(c)

-1

(d)

17.

The subtraction of 5 times of y from x is

(a)

5x - y

(b)

y - 5x

(c)

x - 5y

(d)

5y - x

18.

The degree of the polynomial x³y - 2xy⁴ + 5 is

(a)

(b)

(c)

(d)

19.

An algebraic expression containing three terms is called a

(a)

monomial

(b)

binomial

(c)

trinomial

(d)

All of these

True or False

5 x 1 = 5

20.

A polynomial with more than two terms is a trinomial.

(a)

True

(b)

False

21.

When we subtract a monomial from a trinomial, then answer can be a polynomial.

(a)

False

(b)

True

22.

A binomial has more than two terms.

(a)

True

(b)

False

23.

4 P is the numerical coefficient of q² in - 4pq²

(a)

True

(b)

False

24.

\(1+\frac { x }{ 2 } +{ x^{ 3 } }\)is a polynomial.

(a)

False

(b)

True

Fill up / 1 Marks

5 x 1 = 5

25.

Number of terms in a monomial is_____________

26.

If (x²y + y² + 3) is subtracted from (3x²y + 2y² + 5),then coefficient of y in the result is...............

27.

In 3x, 3 is called.......and x is called

28.

-5a²b and - 5b² are.......terms

29.

Sum or difference of two like terms is.......

Match the following

5 x 1 = 5

30.

The value of 1 -5x² at x = -3 is:

31.

The degree of 4/9 is:

32.

If a = 1, b = 1 then 6a² - 2ab - 2b² is

33.

(3a - 2b) + (4a - 9b)

34.

The factors of 5xy² is

1 Marks

5 x 1 = 5

35.

Add:
7x - 5 + 8z and 3x + 15

36.

Add -3x²y to 3x²y.

37.

What is the power of -3x³y?

38.

What should be subtracted from 3a² - 3b + 6 to get 4a²-b+2?

39.

Find the sum of x²-3x + 5 and 3x²- + 4x -7.

Generic 4

1 x 4 = 4

40.

If A = 2a - 3b, B = - 3a + 4b and C = - a + b, find A + B + C and A + B - C.

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Answers Key:

Generic 2

7 x 2 = 14

On putting m = 2 in 9 - 5m, we get
9 - 5m = 9 - 5 x 2 = 9 - 10 = -1

We have to subtract, a(b - 5) from b(5 - a) or ab - Sa from 5b - ab
\(\quad\quad \ 5b-ab\\-5a\quad+ab\\+\ \ \ \ \ \ \ \ +\\\_\_\_\_\_\_\_\_\_\_\_\_\\5a+5b-2ab\\\_\_\_\_\_\_\_\_\_\_\_\_\)

15 x x x x x y x y

Expression z² + z is a binomial because it contains 2 unlike terms z² and z.

In the expression 13y² - 8yx, the term which contains x -s sp coefficient of x is - 8y

The terms and factors of the given expressions are given below:
We have, x - 3
Here, terms are x and -3. Factor of x is x and factor of -3 is -3. Now, to show terms and factors, tree diagram is given below

Generic 3

3 x 3 = 9

\(({1\over3}y^2-{4\over7}y^2+5)-({2\over7}y-{2\over3}y^3+2)={1\over3}y^2-{4\over7}y+5-{2\over7}y+{2\over3}y^2-2\)
\(=({1\over3}+{2\over3})y^3-({4\over7}+{2\over7})y+5-2\)
\(={3\over3}y^2-{6\over7}y+3\)
\(=y^2-{6\over7}y+3\)
\(=(2)^2-{6\over7}(2)+3\)
\(=4-{12\over7}+3\)
\(={28-12+21\over7} \) \([\because y=2]\)
\(={37\over7}\).

We have,2(a² +ab)+3-ab = 2a² +2ab+3-ab
= 2a² + 2ab - ab + 3 [rearranging terms]
= 2a² + ab(2 -1) + 3 = 2a² + ab + 3
On putting a = 5 and b = - 3, we get
The value of 2a² + ab + 3 = 2(5)² 5 x (-3) + 3
= 2 x 5 x 5 + 5 x(-3)+3 = 50 - 15 +3 = 38
Hence, the simplified expression is 2a² + ab + 3 and its required value is 38

10.

We have, mn +5 - 2, mn +3
\(\therefore\) Sum = mn + 5 - 2 + mn + 3 = mn + mn + 5 - 2 + 3
= mn(l + 1) + 8 - 2 = 2mn + 6
and difference = (mn + 5 - 2) - (mn + 3)
=mn+5-2-mn-3=mn-mn+5-2-3
= mn(l - 1) + 5 - 5 = mn X 0 + 0 = 0

Generic 5

4 x 5 = 20

11.

No like terms

12.

13.

Given, amount given to Rohan by his mother = Rs 3xy²
Amount given to Rohan by his father = Rs 5( xy² + 2)
Total amount spent by Rohan =Rs 10 - 3xy²
:. Money left with Rohan
= 3xy² + 5(xy² + 2) - (10 - 3xy²)
= 3xy² + 5xy² + 10 -10 + 3xy²
= 3xy² + 5xy² + 3xy² + 10 -10 = Rs.11 xy²

14.

Sum of 7x² - 5y² + 3z² and (x²- y²)
=7x² + x² -5y² - y² + 3z²
= 8x² - 6y2 + 3z²
Addition of 5x² - 7y² + 4z² to 8x2 - 6y² + 3z²
=5x² -7y2 + 4z² + 8x² - 6y² + 3z²
=5x2 + 8x² -7y² - 6y² + 4z² + 3z²
=13x² -13y² + 7z²

Multiple Choice Question

5 x 1 = 5

15.

(a)
6

16.

(a)
1

17.

18.

(a)
5

19.

True or False

5 x 1 = 5

20.

(b)
False

21.

(a)
False

22.

(b)
False

23.

(b)
False

24.

(b)
True

Fill up / 1 Marks

5 x 1 = 5

25.

()
1

26.

()
2x²

27.

()
Coefficient, variable

28.

()
unlike

29.

2xy + 4xy =6xy \(\Rightarrow\) 2xy - 4xy = -2xy

Match the following

5 x 1 = 5

30.

()
-44

31.

()
0

32.

()
2

33.

()
7a -11b

34.

()
5 x x x y x y

1 Marks

5 x 1 = 5

35.

()
10x+8z+10

36.

()
0

37.

()
4

38.

()
-a²-2b + 4.

39.

()
x²- 3x + 5 + 3x²+ 4x - 7
= 4x² + x-2.

Generic 4

1 x 4 = 4

40.

A = 2a - 3b
B=-3a+4b
C = -a + b
A+B+C=?
A + B + C = (2a-3b) + (-3a + 4b) + (-a + b)
= 2a-3b-3a + 4b-a + b
= a(2 - 3 -1) + b(- 3 + 4 + 1)
= a(2 - 4) + b(1 + 1)
=-2a+2b
A+B-C=?
A + B - C = (2a- 3b) + (- 3a + 4b) - (- a + b)
= 2a-3b-3a + 4b + a-b
= a(2-3 + 1) + b(-3 + 4-1)
= a(0) + b(-4 + 4)
= a(0) + b(0)
= 0.