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Olympiad Test: Algebraic Expressions - 1 - Class 7 MCQ


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10 Questions MCQ Test Mathematics Olympiad Class 7 - Olympiad Test: Algebraic Expressions - 1

Olympiad Test: Algebraic Expressions - 1 for Class 7 2024 is part of Mathematics Olympiad Class 7 preparation. The Olympiad Test: Algebraic Expressions - 1 questions and answers have been prepared according to the Class 7 exam syllabus.The Olympiad Test: Algebraic Expressions - 1 MCQs are made for Class 7 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Olympiad Test: Algebraic Expressions - 1 below.
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Olympiad Test: Algebraic Expressions - 1 - Question 1

What is the result when x2 – xy + y2 subtracted from 2xy – 3y2 + 2x2 ?

Detailed Solution for Olympiad Test: Algebraic Expressions - 1 - Question 1

(2xy – 3y2 + 2x2) – (x2 – xy + y2)
= 2xy – 3y2 + 2x2 – x2 + xy – y2
= x2 + 3xy – 4y2

Olympiad Test: Algebraic Expressions - 1 - Question 2

What is obtained after simplification of the expression [7 – 2x  + 3y –{2x – y}] – (4x + 7y – 5)?

Detailed Solution for Olympiad Test: Algebraic Expressions - 1 - Question 2

[7 – 2x + 3y – {2x – y}] – (4x + 7y – 5)
= 7 – 2x + 3y – 2x + y – 4x – 7y – 5
= –8x – 3y + 12

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Olympiad Test: Algebraic Expressions - 1 - Question 3

What is the product of –3m2np, 1/3nm3p2 and 2/3m2n2p2?

Detailed Solution for Olympiad Test: Algebraic Expressions - 1 - Question 3


Olympiad Test: Algebraic Expressions - 1 - Question 4

Find the product of the sum of 3x2 + 5y2 and x2 – 4y2 and the difference of (x2 – y2) and 2x2 + 3y2.

Detailed Solution for Olympiad Test: Algebraic Expressions - 1 - Question 4

Sum = (3x2 + 5y2) + (x2– 4y2) = 4x2 + y2
Difference = (2x2 + 3y2) –(x2 –y2)
= 2x2 + 3y2 –x2 + y2
= x2 + 4y2
Product = (4x2 + y2) (x2 + 4y2)
= 4x4 + 16x2y2 + x2y2 + 4y4
= 4x4 + 17x2y2 + 4y4

Olympiad Test: Algebraic Expressions - 1 - Question 5

Find the value of (2.3a5b2) × (1.2a2b2) when a = 1 and b = 0.5.

Detailed Solution for Olympiad Test: Algebraic Expressions - 1 - Question 5

Olympiad Test: Algebraic Expressions - 1 - Question 6

Find the value of (2.6 m2n) × (5mn2) when m = 1/2 and n = 1/3.

Detailed Solution for Olympiad Test: Algebraic Expressions - 1 - Question 6

(2.6 m2n) × (5 mn2)
= 2.6 × 5 × m2× m × n × n2

Olympiad Test: Algebraic Expressions - 1 - Question 7

What is the simplified value of  a(b – c) + b(c – a) + c(a – b)?

Detailed Solution for Olympiad Test: Algebraic Expressions - 1 - Question 7

a(b – c) + b(c – a) + c(a – b)
= ab – ac + bc – ab + ac – bc = 0

Olympiad Test: Algebraic Expressions - 1 - Question 8

Find the simplest expression of a(b – c) – b(c – 2a) – c(2a – b)

Detailed Solution for Olympiad Test: Algebraic Expressions - 1 - Question 8

a(b – c) –b(c – 2a) – c(2a – b)
= ab – ac – bc + 2ab – 2ac + bc
= 3ab – 3ac = 3(ab – ac)

Olympiad Test: Algebraic Expressions - 1 - Question 9

What is product of 

Detailed Solution for Olympiad Test: Algebraic Expressions - 1 - Question 9

Olympiad Test: Algebraic Expressions - 1 - Question 10

What is the product of  (x3 + y3) and (x2 – y2)?

Detailed Solution for Olympiad Test: Algebraic Expressions - 1 - Question 10

(x3 + y3) (x2– y2)
= (x3) (x2) – (x3) (y2) + (y3) (x2) – (y3)(y2)
= x5 – x3y2 + x2y3 – y5

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