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

Students are advised to solve Algebraic Expressions Multiple Choice Questions of Class 7 Maths to know different concepts. Practicing the MCQ Questions on Algebraic Expressions Class 7 with answers will boost your confidence thereby helping you score well in the exam.

Explore numerous MCQ Questions of Algebraic Expressions Class 7 with answers provided with detailed solutions by looking below.

Question 1.

Find the value of a^{2} + b^{2} if a = 2 and b = -2.

(a) 0

(b) 8

(c) 4

(d) None of these

## Answer

Answer: (b) 8

2^{2} + (-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

## Answer

Answer: (d) 3x + 5

Question 3.

Subtract – 5y^{2} from y^{2}.

(a) -4y^{2}

(b) 4y^{2}

(c) 6y^{2}

(d) None of these

## Answer

Answer: (c) 6y^{2}

y^{2} – (-5y^{2}) = y^{2} + 5y^{2} = 6y^{2}.

Question 4.

A _________ can take various values.

(a) variable

(b) expression

(c) term

(d) None of these

## Answer

Answer: (a) variable

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

## Answer

Answer: (c) X + YZ

Question 6.

Identify terms which contain x in following expression 13 y^{2} – 8 yx

(a) -8yx

(b) 13 y^{2}

(c) -8y

(d) None of these

## Answer

Answer: (a) -8 yx

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

## Answer

Answer: (c) 2

Question 8.

The number z is multiplied by itself, write its algebraic expresson.

(a) 2z

(b) z^{2}

(c) 2z

(d) None of these

## Answer

Answer: (b) z^{2}

Product of z with z is z^{2}.

Question 9.

What is the difference between 3a + 2b and −2a − 5b?

(a) 5a + 7b

(b) – 5a – 7b

(c) 5a – 7b

(d) a – 3b

## Answer

Answer: (a) 5a + 7b

Question 10.

Add 3 mn, -5 mn, 8 mn, -4mn.

(a) 2 mn

(b) 20 mn

(c) -2 mn

(d) None of these

## Answer

Answer: (a) 2 mn

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

## Answer

Answer: (a) xy

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

## Answer

Answer: (a) binomial

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

## Answer

Answer: (b) y – z

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

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

## Answer

Answer: (c) 13

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) \(\frac { y }{ z }\)

## Answer

Answer: (b) 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

## Answer

Answer: (c) z

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

## Answer

Answer: (b) -3

Question 19.

Write the term which contains y^{2} in expression 5y^{2} + 7x.

(a) 5

(b) 5y^{2}

(c) 7

(d) None of these

## Answer

Answer: (b) 5y^{2}

y^{2} 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

## Answer

Answer: (a) -13

Question 21.

Identify the co-efficient of x in the given expression : 4x – 3y.

(a) 4

(b) -3

(c) 4x

(d) None of these

## Answer

Answer: (a) 4

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

## Answer

Answer: (a) 2mn + 6

Question 23.

Find the value of x + 4 at x = 2.

(a) 2

(b) 6

(c) 4

(d) None of these

## Answer

Answer: (b) 6

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

Question 24.

What are the coefficients of y in the expression yz^{2}+ 5?

(a) z

(b) z^{2}

(c) 1

(d) 5

## Answer

Answer: (b) z^{2}

Question 25.

Write the numerical co-efficients of 100 m + 1000 n.

(a) 100, 1000

(b) 100

(c) 1000

(d) None of these

## Answer

Answer: (a) 100, 1000

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

## Answer

Answer: (b) a + ab

Question 27.

Numbers x and y when both squared and added, write it in algebraic expression.

(a) 2x + 2y

(b) x + y

(c) x^{2} + y^{2}

(d) None of these

## Answer

Answer: (c) x^{2} + y^{2}

Square of x and square of y are x^{2} and y^{2}. Sum is x^{2} + y^{2}.

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

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

## Answer

Answer: (c) 1

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

## Answer

Answer: (a) 6

Question 31.

Identify terms in the expression x – 3.

(a) x, -3

(b) x, 3

(c) 1, -3

(d) None of these

## Answer

Answer: (a) x, -3

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

## Answer

Answer: (b) 2x+3

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

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 + x^{2}+ x is

(a) 1

(b) x

(c) x^{2}

(d) None of these

## Answer

Answer: (a) 1

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

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

State whether the given statements are True or False.

Question 1.

A variable can take various values.

## Answer

Answer: True

Question 2.

An expression with only one term is called a monomial.

## Answer

Answer: True

Question 3.

A constant does not have a fixed value.

## Answer

Answer: False

Question 4.

Terms 2xy and 4 are like terms.

## Answer

Answer: False

Complete the following table :

## Answer

Answer:

(i) 4

(ii) -1

(iii) y^{2}

(iv) -5z

Match the following :

1. 7x, 12y | (a) Like terms |

2. 15x, -21x | (b) Unlike terms |

3. -4ab, 7ba | (c) Unlike terms |

4. 6y^{2}, 9x^{2}y | (d) Like terms |

## Answer

Answer:

1. 7x, 12y | (c) Unlike terms |

2. 15x, -21x | (a) Like terms |

3. -4ab, 7ba | (d) Like terms |

4. 6y^{2}, 9x^{2}y | (b) Unlike terms |

Match the following :

1. 4y – 7z | (a) Monomial |

2. y^{2} | (b) Monomial |

3. x + y – xy | (c) Binomial |

4. 100 | (d) Trinomial |

## Answer

Answer:

1. 4y – 7z | (c) Binomial |

2. y^{2} | (a) Monomial |

3. x + y – xy | (d) Trinomial |

4. 100 | (b) Monomial |

Complete the following table :

## Answer

Answer:

(i) xy

(ii) – y^{2}

(iii) – y, 5y^{2}

(iv) 4p^{2}q, – 3pq^{2}

Identify like terms in the following :

– xy^{2}, – 4yx^{2}, 8x^{2}, 2xy^{2}, 7y, – 11x^{2},

– 100x, – 11yx, 20x^{2}y, – 6x^{2}, y, 2xy, 3x.

## Answer

Answer:

(- xy^{2}, 2xy^{2}); (- 4yx^{2}, 20x^{2}y)

(8x^{2}, – 11x^{2}, – 6x^{2}), (7y, y)

(- 100x, 3x) (- 11xy, 2xy)

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

Question 1.

1, 100

## Answer

Answer: like

Question 2.

– 7x, \(\frac { 5 }{ 2 }\)x

## Answer

Answer: like

Question 3.

– 29x, – 29y

## Answer

Answer: unlike

Question 4.

14xy, 42yx

## Answer

Answer: like

Question 5.

4m^{2}p, 4mp^{2}

## Answer

Answer: unlike

Question 6.

12x^{2}, 12x^{2}y^{2}

## Answer

Answer: unlike

Classify into monomials, binomials and trinomials.

Question 1.

4y – 7z

## Answer

Answer: Binomial

Question 2.

y^{2}

## Answer

Answer: Monomial

Question 3.

x + y – xy

## Answer

Answer: Trinomial

Question 4.

ab – a – b

## Answer

Answer: Trinomial

Question 5.

z^{2} – 3z + 8

## Answer

Answer: Trinomial

Question 6.

z^{2} + z

## Answer

Answer: Binomial

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

## Answer

Answer:

(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. a^{2} + 2ab + b^{2} | (c) 5 |

4. a^{2} – b^{3} | (d) 25 |

## Answer

Answer:

1. a + b | (c) 5 |

2. 7a – 4b | (a) 13 |

3. a^{2} + 2ab + b^{2} | (d) 25 |

4. a^{2} – b^{3} | (b) 1 |

Complete the tree diagram.

## Answer

Answer:

-3, x, y.

Fill in the blanks.

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

## Answer

Answer: like

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

## Answer

Answer: monomial

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

## Answer

Answer: equation

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

## Answer

Answer: constant

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

## Answer

Answer: variable

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

## Answer

Answer: binomial

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

## Answer

Answer: polynomial

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

## Answer

Answer: algebraic

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

## Answer

Answer: unlike

10. An expression which contains three terms is called a …………. .

## Answer

Answer: trinomial

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