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7th CBSE Mathematics Algebraic Expressions Important Questions

Published on: 06/12/2018

In this post, Questions from very important topics are covered by NCERT Exemplar Class 7. You also get the idea about the type of questions and method to answer in your Class 7th examination.

Here you can get Class 7 Important Questions Maths based on NCERT syllabus for Class VII. Algebraic Expressions are very helpful to score high marks in board exams. Here we have covered Important Questions on Algebraic Expression for Class 7 Maths subject.

Download CBSE Class 7th Standard CBSE Mathematics question papers, sample papers, important questions, and previous year solved papers in PDF format. Get free study materials, NCERT solutions, and exam preparation resources for Class 7th Standard CBSE Mathematics

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Questions:

Generic 2

5 x 2 = 10

Find the value of the following expressions, when n =-2:5n²+ 5n-2

Subtract the sum of - 3x³y²+ 2x²y³ and - 3x²y³5y⁴ from X⁴ + x³y² + .x²y³ + y⁴.

Add:
m + n and m - n

Think of atleast two situations in each of which you need to form two algebraic expressions and add or subtract them.
In a park, roses and marigolds are planted in square plots. The length of the square plot in which marigold are planted is 2m greater than the length of the square plot in which roses are planted. How much bigger in area is marigold plot the rose plot?

Write the following into algebraic expression - x cube plus two times y square

Generic 5

1 x 5 = 5

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

Multiple Choice Question

10 x 1 = 10

Find the value of the expression a² - b² for a = 2, b = 1

(a)

(b)

(c)

(d)

What should be added to x² + y² to get x² + y² + 2xy?

(a)

(b)

2xy

(c)

4xy

(d)

-2xy

What is the coefficient of x in the expression 2z - 3xz?

(a)

(b)

(c)

(d)

- 3z

10.

The coefficient of x² in -x²is:

(a)

(b)

(c)

-1

(d)

11.

The expression for the number of diagonals that we can make from one vertex of a n sided polygon is

(a)

2n + 1

(b)

n-2

(c)

5n + 2

(d)

n - 3

12.

Identify the binomial out of the following:

(a)

3xy² + 5y-x²y

(b)

x²y-5y-x²y

(c)

xy + yz + zx

(d)

3xy²+ 5y - xy²

13.

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

(a)

(b)

(c)

y²

(d)

none of these

14.

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

(a)

(b)

(c)

-1

(d)

15.

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

16.

An algebraic expression containing three terms is called a

(a)

monomial

(b)

binomial

(c)

trinomial

(d)

All of these

Fill up / 1 Marks

5 x 1 = 5

17.

The value ofx - 2y + 3z at x = 3, y = 0 and z = (-1), is__________.

18.

The degree of 8 is _______.

19.

x + y + z is an expression, which is neither monomial nor...................

20.

In x⁴, 4 is called the..............

21.

3a²b and - 7 ba² are......terms

1 Marks

5 x 1 = 5

22.

Consider the pattern ...Establish an expression for number of line segments for n shapes.

23.

For a natural number 'n', if (n + 1) is its successor, then find the successor of n= 20.

24.

Subtract - x² from - x².

25.

What do we call an expression having only one term?

26.

What is the degree of the expression 3 - 2x²+ x.

Generic 3

5 x 3 = 15

27.

What should be added to 4b² - a²to get b² - 4a²?

28.

If A = (3a² - 4b - 1), B = (6a² + 3b - 8) and C = (4a² - 9b+3), then find the value of A-B+C

29.

If Ramesh has 5x² + 3x - 2 rupees and Mahesh has x² - x + 5 rupees. If both of them deposited the money in same account, and withdrawal a sum of rupees 2x² - x - 3.
(a) What is the balance of amount in their account.
(b) Which mathematical concept is used in this problem?
(c) Whatis its value?

30.

Add:
\((3x^2-{1\over5}x+{7\over3})+(-{1\over4}x^2+{1\over3}x-{1\over6})+(-2x^2-{1\over2}x+5)\)

31.

Find the degree of each term in the expression mn²+ m²n + 8mn + 9.

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Answers Key:

Generic 2

5 x 2 = 10

In 5n² + 5n - 2, we have
For n = - 2, 5n - 2 = - 12 and,5n² = 5 x (- 2)² = 5 x 4 = 20
Combining,
5n² + 5n - 2 = 20 - 12 = 8

- 3x³y² +2x²y³
-3x²y³-5y⁴
^{________________}
- 3x³y² +x²y³-5y⁴
^{_________________}
Sum =- 3x³y² +x²y³-5y⁴
Now, x⁴ +x³y² + x²y³ + y⁴
- 3x³y² - x²y³ - 5y⁴
(+) (+) (+)
__________________
Difference = x⁴ +4x³y²+2x²y³+ 6y⁴
___________________

m+n
m-n
Adding, 2m + 0 = 2m

Let x m be the length of the side of the rose plot. Then, the length of the side of marigold plot will be ( x + 2 ) m
So, their respective area will be x² and (x+2)².
The difference between (x+2)² and x² will decide how much bigger in area the marigold plot is.

Given, x cube plus two times y square.
Algebraic expression will be x³ + 2y² .

Generic 5

1 x 5 = 5

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

10 x 1 = 10

(b)
2xy

(d)
- 3z

10.

11.

(d)
n - 3

12.

(d)
3xy²+ 5y - xy²

13.

(a)
6

14.

(a)
1

15.

16.

Fill up / 1 Marks

5 x 1 = 5

17.

()
0

18.

()
0

19.

()
binomial

20.

()
exponent

21.

()
like

1 Marks

5 x 1 = 5

22.

()
2n+1

23.

()
21

24.

()
0

25.

()
monomial

26.

()
Degree = 2.

Generic 3

5 x 3 = 15

27.

The required expression is obtained by subtracting (4b² - a²) from (b² - 4a²).
∴ The required expression
= (b² - 4a²) - (4b² - a²)
= b² - 4a²- 4b² + a²
= (b² _ 4b²) + (-4a² + a²)
= (1 - 4)b² + (-4 + 1)a²
= (-3)b² + (-3)a²
= -3b² - 3a²
Thus, the required expression is (-3b² - 3a²).

28.

A-B = (3c² - 4b - 1) - (6c²+ 3b - 8)
= 3a² - 4b - 1 - 6c² - 3b + 8
= (3a² - 6c²) + (-4b - 3b) + (-1 + 8)
= (3 - 6)a² + (-4 - 3)b + (-1 + 8)
= (-3)a² + (-7)b + (7)
= -3a² - 7b + 7
∴ A - B + C = (-3a² - 7b + 7) + (4a² - 9b + 3)
= -3a² - 7b + 7 + 4a² - 9b + 3
= (-3a² + 4a²) + (-7b - 9b) + (7 + 3)
= (-3 + 4)a² + (-7 - 9)b + (10)
= (1)a² + (-16)b + 10
= a² - 16b + 10

29.

(a)Total amount deposited in account = (5x² + 3x-2) + (x²-x + 5)
=5x² + 3x-2+ x²-x + 5
=5x² + x²+ 3x-x-2+ 5
=6x²+2x+3
Balance amount
= (6x²+2x+3)-(2x²-x-3)
= 6x²+2x+3-2x²-x-3
= 6x²-2x²+ 2x + x + 3 + 3
=4x²+3x+6.
(b) Addition of algebraic expressions.
(c) Value: Economy is everywhere.

30.

\((3x^2-{1\over5}x+{7\over3})+(-{1\over4}x^2+{1\over3}x-{1\over6})+(-2x^2-{1\over2}x+5)\)
=\(3x^2-{1\over4}x^2-2x^2-{1\over5}x+{1\over3}x-{1\over2}x+{7\over3}-{1\over6}+5\)
\(=(3-{1\over4}-x^2)x^2+(-{1\over5}+{1\over3}-{1\over2})x+({7\over3}-{1\over6}+5)\)
\(=({12-1-8\over 4})x^3+({-6+10-15\over30})x+({14-1+30\over6})\)
\(={3\over4}x^2-{11\over30}x+{43\over6}\)

31.

Expression mn² + m²n + 8mn + 9
Term I :mn²
degree = 1 + 2 = 3
Term II :m²n
degree = 1 + 2 = 3
Term III : 8mn
degree = 0 + 1 + 1 = 2
Term IV: 9
degree = 0