# MCQ Questions for Class 7 Maths Chapter 12 Algebraic Expressions with Answers

If you’re looking for a way to enhance your Class 7 Maths, then look no further than the NCERT MCQ Questions for Class 7 Maths Chapter 12 Algebraic Expressions with Answers. MCQ Questions for Class 7 Maths with Answers is perfect for those who are in Class 7 Maths and want to get ahead of everyone else by mastering their subject skills as soon as possible! You can practice and test your subject knowledge by solving these Class 7 Maths Chapter 12 Algebraic Expressions Objective Questions.

## Algebraic Expressions Class 7 MCQs Questions with Answers

Solving Class 7 Maths Chapter 12 MCQ with Answers can be of great help to students as they will be aware of all the concepts. These MCQ Questions on Algebraic Expressions Class 7 Maths with Answers pave for a quick revision, thereby helping you learn more about this subject.

Question 1.
Find the value of a2 + b2 if a = 2 and b = -2.
(a) 0
(b) 8
(c) 4
(d) None of these

22 + (-2)2 = 4 + 4 = 8.

Question 2.
Write an expression : Raju s father s age is 5 years more than 3 times Raju s age. If Raju s age is x years, then father’s age is
(a) 3x – 5
(b) 3x + 7
(c) 5 – 3x
(d) 3x + 5

Question 3.
Subtract – 5y2 from y2.
(a) -4y2
(b) 4y2
(c) 6y2
(d) None of these

y2 – (-5y2) = y2 + 5y2 = 6y2.

Question 4.
A _________ can take various values.
(a) variable
(b) expression
(c) term
(d) None of these

Question 5.
The simplified form of the Boolean expression (X + Y + XY)(X + Z) is
(a) X + Y + Z
(b) XY + YZ
(c) X + YZ
(d) XZ + Y

Question 6.
Identify terms which contain x in following expression 13 y2 – 8 yx
(a) -8yx
(b) 13 y2
(c) -8y
(d) None of these

Here, x is in the term -8yx.

Question 7.
For what value of ‘m’ is 9 − 5m = (−1)?
(a) −1
(b) −2
(c) 2
(d) 1

Question 8.
The number z is multiplied by itself, write its algebraic expresson.
(a) 2z
(b) z2
(c) 2z
(d) None of these

Product of z with z is z2.

Question 9.
What is the difference between 3a + 2b and −2a − 5b?
(a) 5a + 7b
(b) – 5a – 7b
(c) 5a – 7b
(d) a – 3b

Question 10.
Add 3 mn, -5 mn, 8 mn, -4mn.
(a) 2 mn
(b) 20 mn
(c) -2 mn
(d) None of these

3 mn and 8 mn are positive so sum of -5 mn and -4mn is subtracted from sum of 3 mn and 8 mn.

Question 11.
Identify, in the following expressions, terms which are not constants : xy + 4.
(a) xy
(b) 4
(c) x
(d) y

Values of xy are variable. Therefore these are not constant.

Question 12.
An expression which contains two unlike terms is called _______.
(a) binomial
(b) monomial
(c) trinomial
(d) None of these

Question 13.
Get the algebraic expression of subtraction of z from y.
(a) z – y
(b) y – z
(c) – z + y
(d) None of these

z is subtracted from y.

Question 14.
A and B are polynomials and each is the additive inverse of the other. What does it mean?
(a) A = B
(b) A+B is a zero polynomial.
(c) A−B is a zero polynomial.
(d) A−B = B−A

Answer: (b) A+B is a zero polynomial.

Question 15.
Find the value of 7a – 4b if a = 3, b = 2.
(a) 17
(b) 29
(c) 13
(d) None of these

7×3 – 4×2 = 21 – 8 = 13.

Question 16.
Get the algebraic expressions for subtraction of z from y.
(a) y × z
(b) y – z
(c) y + z
(d) $$\frac { y }{ z }$$

Question 17.
What is the co-efficient ofy in the given algebraic expression 8 + yz.
(a) 8
(b) 1
(c) z
(d) None of these

As term with factory is yz. Therefore, co-efficient of 2 is co-efficient of y.

Question 18.
What are the coefficients of y in the expression 4x – 3y?
(a) -4
(b) -3
(c) 3
(d) 4

Question 19.
Write the term which contains y2 in expression 5y2 + 7x.
(a) 5
(b) 5y2
(c) 7
(d) None of these

y2 is with constant 5.

Question 20.
Simplify these expressions and find their values, if x = 3, a = – 1, b = – 2.
3x – 5a – x2 + 9b
(a) -13
(b) 15
(c) 13
(d) None of these

Question 21.
Identify the co-efficient of x in the given expression : 4x – 3y.
(a) 4
(b) -3
(c) 4x
(d) None of these

As term with factor x is 4x therefore, co-efficient of x is 4.

Question 22.
The sum of mn + 5 – 2 and mn+3 is
(a) 2mn + 6
(b) mn + 6
(c) 2mn – 6
(d) mn – 6

Question 23.
Find the value of x + 4 at x = 2.
(a) 2
(b) 6
(c) 4
(d) None of these

As x = 2 ∴ Given expression becomes 2 + 4 = 6.

Question 24.
What are the coefficients of y in the expression yz2+ 5?
(a) z
(b) z2
(c) 1
(d) 5

Question 25.
Write the numerical co-efficients of 100 m + 1000 n.
(a) 100, 1000
(b) 100
(c) 1000
(d) None of these

Both terms have variable so numerical co-efficients are 100,1000.

Question 26.
Simplify combining like terms: 3a – 2b – ab – (a – b + ab) + 3ab + b – a
(a) a – ab
(b) a + ab
(c) a + b
(d) None of these

Question 27.
Numbers x and y when both squared and added, write it in algebraic expression.
(a) 2x + 2y
(b) x + y
(c) x2 + y2
(d) None of these

Square of x and square of y are x2 and y2. Sum is x2 + y2.

Question 28.
The length and breadth of a rectangular plot are I and b. Two rectangular paths each of width W run inside the plot one parallel to the length and the other parallel to the breadth. What is the total area of the paths?
(a) (l + w)(b + w) − lb
(b) lb − (l − w)(b − w)
(c) (l + b − w)w
(d) lb − (l − 2w)(b − 2w)

Answer: (c) (l + b − w)w

Question 29.
In the above identify numerical co-efficient of variables.
(a) 4
(b) y
(c) 1
(d) None of these

If there is not any co-efficient with variables then 1 is always numerical co-efficient of variables.

Question 30.
Find the value of x + 4 for x = 2.
(a) 6
(b) 8
(c) 4
(d) None of these

Question 31.
Identify terms in the expression x – 3.
(a) x, -3
(b) x, 3
(c) 1, -3
(d) None of these

x, -3 are terms of given expression.

Question 32.
In a two digit number, the units digit is x and tens digit is (x+3). What is the sum of the digits in the number?
(a) 11x+3
(b) 2x+3
(c) 3+x
(d) 11x+30

Question 33.
Write algebraic expression of one half of the sum of numbers x and y.
(a) $$\frac { 1 }{ 2 }$$(x + y)
(b) $$\frac{x}{2}+y$$
(c) $$x+\frac{y}{2}$$
(d) None of these

Answer: (a) $$\frac { 1 }{ 2 }$$(x + y)
Sum of x and y is divided by 2.

Question 34.
The constant term in the expression 1 + x2+ x is
(a) 1
(b) x
(c) x2
(d) None of these

Question 35.
When a certain number, ‘m’ is divided by 5 and added to 8, the result is equal to thrice the number subtracted from 4. What is the value of ‘m?
(a) 2
(b) $$\frac { 4 }{ 3 }$$
(c) −1
(d) $$\frac { 30 }{ 7 }$$

Answer: (d) $$\frac { 30 }{ 7 }$$

State whether the given statements are True or False.

Question 1.
A variable can take various values.

Question 2.
An expression with only one term is called a monomial.

Question 3.
A constant does not have a fixed value.

Question 4.
Terms 2xy and 4 are like terms.

Complete the following table :

(i) 4
(ii) -1
(iii) y2
(iv) -5z

Match the following :

 1. 7x, 12y (a) Like terms 2. 15x, -21x (b) Unlike terms 3. -4ab, 7ba (c) Unlike terms 4. 6y2, 9x2y (d) Like terms

 1. 7x, 12y (c) Unlike terms 2. 15x, -21x (a) Like terms 3. -4ab, 7ba (d) Like terms 4. 6y2, 9x2y (b) Unlike terms

Match the following :

 1. 4y – 7z (a) Monomial 2. y2 (b) Monomial 3. x + y – xy (c) Binomial 4. 100 (d) Trinomial

 1. 4y – 7z (c) Binomial 2. y2 (a) Monomial 3. x + y – xy (d) Trinomial 4. 100 (b) Monomial

Complete the following table :

(i) xy
(ii) – y2
(iii) – y, 5y2
(iv) 4p2q, – 3pq2

Identify like terms in the following :

– xy2, – 4yx2, 8x2, 2xy2, 7y, – 11x2,
– 100x, – 11yx, 20x2y, – 6x2, y, 2xy, 3x.

(- xy2, 2xy2); (- 4yx2, 20x2y)
(8x2, – 11x2, – 6x2), (7y, y)
(- 100x, 3x) (- 11xy, 2xy)

State whether a given pair of terms is of like or unlike terms.

Question 1.
1, 100

Question 2.
– 7x, $$\frac { 5 }{ 2 }$$x

Question 3.
– 29x, – 29y

Question 4.
14xy, 42yx

Question 5.
4m2p, 4mp2

Question 6.
12x2, 12x2y2

Classify into monomials, binomials and trinomials.

Question 1.
4y – 7z

Question 2.
y2

Question 3.
x + y – xy

Question 4.
ab – a – b

Question 5.
z2 – 3z + 8

Question 6.
z2 + z

Use the given algebraic expression to complete the table of number patterns.

(i) 1, 3, 5, 7
(ii) 2, 5, 8, 11
(iii) 5, 9, 13, 17
(iv) 27, 34, 41, 48

Match the following for a = 3, b = 2 :

 1. a + b (a) 13 2. 7a – 4b (b) 1 3. a2 + 2ab + b2 (c) 5 4. a2 – b3 (d) 25

 1. a + b (c) 5 2. 7a – 4b (a) 13 3. a2 + 2ab + b2 (d) 25 4. a2 – b3 (b) 1

Complete the tree diagram.

-3, x, y.

Fill in the blanks.

1. The terms having the same literal factors are called …………. terms.

2. An expression with only one term is called a …………. .

3. A statement of equality involving one or more variables is called an ………… .

4. A symbol having a fixed numerical value is called a …………. .

5. A symbol which takes various numerical values is called a …………. .

6. An expression which contains two terms is called a ………… .

7. An expression with one or more terms is called a …………. .

8. A combination of constants and variables connected by the signs of basic operations of +, -, × and ÷ is called an ……….. expression.

9. The terms not having the same literal factors are called …………. terms.