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Olympiad Test: Algebraic Expressions - 2 - Class 7 MCQ


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10 Questions MCQ Test Mathematics Olympiad Class 7 - Olympiad Test: Algebraic Expressions - 2

Olympiad Test: Algebraic Expressions - 2 for Class 7 2024 is part of Mathematics Olympiad Class 7 preparation. The Olympiad Test: Algebraic Expressions - 2 questions and answers have been prepared according to the Class 7 exam syllabus.The Olympiad Test: Algebraic Expressions - 2 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 - 2 below.
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Olympiad Test: Algebraic Expressions - 2 - Question 1

Find the difference of  x2 + xy + y2 + yz and 2x2 – 3xy – y2 – yz.

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

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

Olympiad Test: Algebraic Expressions - 2 - Question 2

What is the result when the sum of (–5x2 + 7xy + 2y2) and (x2 – 3xy – y2) is subtracted from –7?

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

Sum = –5x2 + 7xy + 2y2 + x2 – 3xy – y2
= – 4x2 + 4xy + y2
= –7 –(– 4x2 + 4xy + y2)
= –7 + 4x2– 4xy – y2)

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Olympiad Test: Algebraic Expressions - 2 - Question 3

What is the product of (0.8m – 0.7n) and (1.5n – 1.7m)?

Detailed Solution for Olympiad Test: Algebraic Expressions - 2 - Question 3

(0.8m – 0.7n) (1.5n – 1.7m)
= (0.8m)(1.5n) + (0.7n) (1.7m) – (0.7n)(1.5n) – (0.8m) (1.7m)
= 1.2mn + 1.19mn –1.05n2 –1.36m2
= 2.39mn – 1.05n2 – 1.36m2

Olympiad Test: Algebraic Expressions - 2 - Question 4

Find the sum of 0.3x2– 3xy + 0.8y2 and 4x2 – 2y2 + 0.7xy?

Detailed Solution for Olympiad Test: Algebraic Expressions - 2 - Question 4

0.3x2 – 3xy + 0.8y2 + 4x2 – 2y2 + 0.7xy
= (4 + 0.3) x2 + (0.7 – 3) xy + (0.8 – 2)y2
= 4.3x2 – 2.3xy –1.2y2

Olympiad Test: Algebraic Expressions - 2 - Question 5

Find the product of (7x2 – x  + 11) and (x2 – 3).

Detailed Solution for Olympiad Test: Algebraic Expressions - 2 - Question 5

(7x4– x + 11) (x2– 3)
= 7x4 – 21x2– x3 + 3x + 11x2 – 33
= 7x4– x3 – 10x2 + 3x – 33

Olympiad Test: Algebraic Expressions - 2 - Question 6

What is the product of 1.5 a(10a2b – 100ab2)

Detailed Solution for Olympiad Test: Algebraic Expressions - 2 - Question 6

1.5a(10a2b –100ab2)
= 15a3b – 150a2b2

Olympiad Test: Algebraic Expressions - 2 - Question 7

Find the simplified expression of 7x2 – [x2– 3x –{x + y}] – (5x – 3y + 3).

Detailed Solution for Olympiad Test: Algebraic Expressions - 2 - Question 7

7x2 – [x2– 3x –{x + y}] – (5x – 3y + 3)
= 7x2 – x2 – 3x – x + y – 5x + 3y – 3
= 6x2 – x + 4y – 3

Olympiad Test: Algebraic Expressions - 2 - Question 8

Find the result of x(x + 4) + 3x (2x2 – 3) + 4x2 + 5?

Detailed Solution for Olympiad Test: Algebraic Expressions - 2 - Question 8

x(x + 4) + 3x (2x2– 3) +4x2 + 5
= x 2 + 4x + 6x3– 9x + 4x2 + 5
= 6x3 + 5x2– 5x + 5

Olympiad Test: Algebraic Expressions - 2 - Question 9

4mn (m – n) – 6m2(n – n2)  – 3n2(2m2 – m) = ?

Detailed Solution for Olympiad Test: Algebraic Expressions - 2 - Question 9

4mn(m – n) – 6m2(n – n2) –3n2(2m2 – m)
= 4 m2n – 4m – n2 – 6m2n + 6m2 n2 – 6n2m2 + 3n2m
= –2m2n – n2m = –mn(2m + n)

Olympiad Test: Algebraic Expressions - 2 - Question 10

a2b(a – b2) – ab2 (3ab – a2) – a3b (1– 2b) = ?

Detailed Solution for Olympiad Test: Algebraic Expressions - 2 - Question 10

a2b(a – b2) –ab2(3ab – a2) – a3b (1 – 2b)
= a3b – a2b3 – 3a2b3 + a3b2 – a3b + 2a3b2
= 3a3b2– 4a2b3

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