Maths Quiz for Class 7 Algebraic Expressions

         Maths Quiz for Class 7 Algebraic Expressions

In this post, you will find 20 online maths quiz questions for class 7 algebraic expressions. Online maths quiz will take around 20 minutes to complete it.

Question 1: The numerical coefficient of the term -5xyz is ________.

A) 5x

B) 5

C) -5

D) -5y

Explanation: The numerical coefficient of the term -5xyz is -5.

Question 2: Which of the following is not a term of the algebraic expression 3x + 2y – 5z?

A) 5z

B) -5z

C) 3x

D) 2y

Explanation: 5z is not a term of the given algebraic expression.

Question 3: Which of the following is a factor of the term 12xy?

A) 4x

B) 5y

C) 5x

D) 7xy

Explanation: 4x is a factor of the term 12xy.

Question 4: Which of the following is a pair of unlike terms?

A) 3x, -19x

B) 2a, 4b

C) 9y, 5y

D) -xyz, 8xyz

Explanation: 2a and 4b are unlike terms.

Question 5: Which of the following is a monomial?

A) a + b

B) 3a × b

C) 2x + y

D) x – 5y + z

Explanation: 3a × b = 3ab, which is a monomial because it has only one term.

Question 6: Which of the following is a binomial?

A) 2m × 3n

B) 9x – y + 5

C) 4x + y

D) 3a × b × 2c

Explanation: 4x + y is a binomial because it has 2 terms.

Question 7: Which of the following is a trinomial?

A) 4a × 5b × 3c

B) x + 2y – 3z

C) 7x – 2y

D) 5x + 3y × 4z

Explanation: x + 2y – 3z is a trinomial because it has 3 terms.

Question 8: (2 × x × 3 × y × y × 4 × z × z × z) is a __________________.

A) multinomial

B) binomial

C) trinomial

D) monomial

Explanation: 2 × x × 3 × y × y × 4 × z × z × z = 24xy²z³, which is a monomial.

Question 9: The degree of the polynomial x⁵ + y⁷ – z³ is __________.

A) 7

B) 5

C) 3

D) -7

Explanation: The degree of the polynomial x⁵ + y⁷ – z³ is 7.

Question 10: The degree of the polynomial 2x⁵y⁴ + 3y⁶ – 5z⁷ is ___________

A) 7

B) 6

C) 9

D) 5

Explanation: The degree of the polynomial 2x⁵y⁴ + 3y⁶ – 5z⁷ is 9. Since the degree of the first term = 5 + 4 = 9.

Question 11: The sum of 5x, 9x and -3x is _________.

A) 17x

B) 11x

C) -11x

D) 14x

Explanation: 5x + 9x + (-3x) = 5x + 9x – 3x = 14x – 3x = 11x

Question 12: The sum of 5x² + 6y and -2x² + 3y is ______________.

A) 7x² + 9y

B) 3x² + 9y

C) -3x² + 9y

D) 3x² + 3y

Explanation: (5x² + 6y) + (-2x² + 3y) = 5x² + 6y – 2x² + 3y = 5x² – 2x² + 6y + 3y = 3x² + 9y

Question 13: Simplify: (3x³ + 5y² – 7z) + (-4x³ – 3y² + 2z)

A) -x³ + 2y² – 5z

B) 7x³ + 2y² – 5z

C) -x³ + 8y² – 5z

D) -x³ + 2y² – 9z

Explanation: (3x³ + 5y² – 7z) + (-4x³ – 3y² + 2z) = 3x³ + 5y² – 7z – 4x³ – 3y² + 2z = 3x³ – 4x³ + 5y² – 3y² – 7z + 2z = -x³ + 2y² – 5z

Question 14: Subtract -3xy from 5xy.

A) -8xy

B) -2xy

C) 2xy

D) 8xy

Explanation: 5xy – (-3xy) = 5xy + 3xy = 8xy

Question 15: Subtract 4x² + 3y² – 9 from x² + 2y² – 5.

A) 3x² – y² + 4

B) -3x² + y² + 4

C) -3x² – y² + 4

D) -3x² – y² – 4

Explanation: (x² + 2y² – 5) – (4x² + 3y² – 9) = x² + 2y² – 5 – 4x² – 3y² + 9 = x² – 4x² + 2y² – 3y² – 5 + 9 = -3x² – y² + 4

Question 16: Simplify: (6x² – 5y² – 7) – (8x² + 2y² + 3)

A) -2x² – 7y² – 4

B) -2x² – 7y² – 10

C) -2x² + 7y² – 10

D) -2x² – 3y² – 10

Explanation: (6x² – 5y² – 7) – (8x² + 2y² + 3) = 6x² – 5y² – 7 – 8x² – 2y² – 3 = 6x² – 8x² – 5y² – 2y² – 7 – 3 = -2x² – 7y² – 10

Question 17: If x = 2 and y = -3, then find the value of 3x + 2y – xy.

A) 6

B) -6

C) 12

D) 18

Explanation: 3x + 2y – xy = 3 × 2 + 2 × (-3) – 2 × (-3) = 6 – 6 + 6 = 6

Question 18: If a = 1, b = –1 and c = 2, then find the value of the expression 2a² + 3b² + 4c² – 5abc.

A) 25

B) 11

C) 31

D) 30

Explanation: 2a² + 3b² + 4c² – 5abc = 2(1)² + 3(-1)² + 4(2)² – 5(1)(-1)(2) = 2 + 3 + 16 + 10 = 31

Question 19: Simplify: (5x + 3y + 6z) + (–2x – 4y + 7z) – (3x – y – 8z)

A) x + 21z

B) 21z

C) y + 21z

D) x + y + 21z

Explanation: (5x + 3y + 6z) + (–2x – 4y + 7z) – (3x – y – 8z) = 5x + 3y + 6z – 2x – 4y + 7z – 3x + y + 8z = 5x – 2x – 3x + 3y – 4y + y + 6z + 7z + 8z = 0x + 0y + 21z = 21z

Question 20: If x = 2, y = -3 and z = -1, then find the value of the expression x² + y² – z² + 3xy – 4yz + 5xz.

A) 26

B) -26

C) -28

D) 28

Explanation: x² + y² – z² + 3xy – 4yz + 5xz = (2)² + (-3)² – (-1)² + 3(2)(-3) – 4(-3)(-1) + 5(2)(-1) = 4 + 9 – 1 – 18 – 12 – 10 = 13 – 41 = -28

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