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CBSE 7th Standard Mathematics Algebraic Expressions Sample Question Papers Study Material - QB365 Set A

Published on: 31/10/2025

Question Set A

CBSE 7th Standard Mathematics Algebraic Expressions Sample Question Papers Study Material - QB365

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Std: 7th Standard CBSE - Mathematics

chapter: Algebraic Expressions - Sample Question Papers

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Questions:

Generic 2

10 x 2 = 20

Find the Value 3b² - 3b at b = -4

Find the value of the following expressions, when x=-1 then 2x² - x - 2

How much is p³ -2p³ + p +4 Smaller than 2p³ +7p² - 2p + 6?

Subtract x - y from x + y.

Find the sum of x - y and x + y.

Find the factors of 15x²y²

Classify into monomials, binomials and trinomials.4p²q -4pq²

Identify the terms and their factors in the following expressions. Show that the terms and factors by tree diagrams. y - y³

Get the algebraic expressions in the following cases using variables, constants and arithmetic operations - The number z multiplied by itself

10.

Draw a tree diagram for each expression 3mn - 4

Generic 3

5 x 3 = 15

11.

What will be the result, if -y² + X² + 6xy is subtracted from 4x² + y² - xy and added to 9x² - 3y² - xy?

12.

Observe the patterns of digits made from line segments of equal length. You will find such segmented digits on the display of electronic watches or calculators.

13.

From the sum of 3x- y+ 11 and -y- 11, subtract 3x- y- 11.

14.

What should be taken away from 3x² - 4y² + 5xy + 20 obtain -x² - y² + 6xy + 20?

15.

Classify the following expressions as a monomial, a binomial or a trinomial. a, a + b, ab + a + b, ab + a + b - 5, xy, xy + 5, 5X²- x+ 2, 4pq- 3q+ 5p, 7, 4m- 7n+ 10, 4mn+ 7

Generic 5

2 x 5 = 10

16.

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?

17.

How much is 21a³ - 17a² - less than 89a³- 64a² + 6a + 16?

Multiple Choice Question

5 x 1 = 5

18.

The coefficient of xy in 3x²zy + 7xyz -2x²x is:

(a)

(b)

-2

(c)

7yz

(d)

19.

What should be added to - 5x + 3y to get 3x - 2y?

(a)

5x-4y

(b)

8x-5y

(c)

- 8x - 4y

(d)

2x - l0y

20.

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

(a)

(b)

(c)

y²

(d)

none of these

21.

The algebraic language of "Twice the cube of a number x subtracted from five times the sum of y and 2" is

(a)

5y + 2 - 2x³

(b)

2x³ - 5y + 2

(c)

5(y+2)-2x³

(d)

5(y+2)-(2x)³

22.

Factors of -5x²y²z are

(a)

- 5 x x x y x z

(b)

- 5 x x² x y x z

(c)

- 5 x x x x x y x y x z

(d)

- 5 x x x y x z²

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Answers Key:

Generic 2

10 x 2 = 20

On putting x = -1 in 2x² x - 2, we get
2x² - x - 2 = 2 (-1)² - (-1)- 2
= 2 x 1 + 1 - 2 = 2 + 1 - 2= 3 - 2 = 1

P³ + 9p² - 3p + 2

Given, algebraic expressions are (x - y) and (x + y). So, subtraction of (x - y) from (x + y)
By horizontal method = (x + y) - (x - y) =x + Y - x + y = 2y
By column method,
x + y
-x \(\mp\) y
______
0 + 2y or 2y
______

Given, algebraic expressions are (x - y) and (x + y).
By horizontal method, x - y + x + Y = x + x - y + Y = 2x
By column method,
x - y
+x + y
______
2x + 0 or 2x
_______

15 x x x x x y x y

Expression 4p²q - 4pq² is a binomial because it contains 2 unlike terms 4P²q and -4pq².

We have, y -y³
Here, terms are y and - y³ . Factor of y is y and factors of -y³ is -1, y, y, Y Now, to show terms and factors, tree diagram is given below

The number z multiplied by itself = z X z = z².

10.

Generic 3

5 x 3 = 15

11.

12x² - y² - 8xy

12.

Given, the algebraic expression which give the number of segments required to form n digits of 8 is (5n + 2).
If n = 5, then 5n + 2 = 5 x 5 + 2 = 25 + 2 = 27 So, 27 segments are required to form 5 digits of 8.
If n = 10, then 5n + 2 = 5 x 10 + 2 = 50 + 2 = 52 So, 52 segments are required to form 10 digits of 8.
If n = 100, then 5n + 2 = 5 x 100 + 2 = 500 + 2 = 502 So, 502 segments are required to form 100 digits of 8.

13.

We first find the sum of 3x - y + 11 and -y - 11
\(3xy-y+11\\\quad\ \ -y-11\\ \_\_\_\_\_\_\_\_\_\_\_\\\quad 3x-2y\\\_\_\_\_\_\_\_\_\_\_\_\)
Now, we have to subtract 3x - y - 11 from the sum 3x - 2y
\(3x-2y\\3x-y-11\\-\ +\ \ \ +\\ \_\_\_\_\_\_\_\_\_\_\_\\0-y\ \ \ \ +11\\\_\_\_\_\_\_\_\_\_\_\_\)
Hence, the Required answer - y + 11

14.

Let us subtract an expression z from
3x² - 4y² + 5xy + 20 obtain -x² - y² + 6xy + 20?
then we have
(3x² - 4y² + 5xy + 20) -z = (x² - y² + 6xy + 20)
Hence, We see that if we subtract (x² - y² + 6xy + 20) from (3x² - 4y² + 5xy + 20), then we get the required expression
\(\therefore\) z = (3x² - 4y² + 5xy + 20) - (x² -y² + 6xy +20)
\(\quad 3x^2-4y^2+5xy+20\\-\ \ x^2-y^2+6xy+20\\+\ \ \ \ \ \ +\ \ \ \ \ -\ \ \ \ \ \ -\\ \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\4x^2\ \ \ -3y^2\ -xy+0\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\)
Hence, we should subtract or taken away 4x²-3y²-xy from 3x² - 4y² + 5xy + 20 to obtain -x^{2 -}y² +6xy + 20

15.

Given expressions and their type are given below

Expression	Type of polynomial
a	Monimal
a + b	Binomial
ab + a + b	Trinomil
ab + a + b - 5	Polynomial
xy	monomial
xy +5	binomial
5x² - x + 2	Trinomial
4pq -3q-5p	Trinomial
7	monomial
4m-7n+10	trinomial
4mn+7	binomial

Generic 5

2 x 5 = 10

16.

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

17.

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.