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Test: Algebraic Expressions And Identities- 2 - Class 8 MCQ


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15 Questions MCQ Test Mathematics (Maths) Class 8 - Test: Algebraic Expressions And Identities- 2

Test: Algebraic Expressions And Identities- 2 for Class 8 2024 is part of Mathematics (Maths) Class 8 preparation. The Test: Algebraic Expressions And Identities- 2 questions and answers have been prepared according to the Class 8 exam syllabus.The Test: Algebraic Expressions And Identities- 2 MCQs are made for Class 8 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Algebraic Expressions And Identities- 2 below.
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Test: Algebraic Expressions And Identities- 2 - Question 1

An algebraic expression that contains only one term is called:

Detailed Solution for Test: Algebraic Expressions And Identities- 2 - Question 1

2x is a monomial

Test: Algebraic Expressions And Identities- 2 - Question 2

5x+6y is a:

Detailed Solution for Test: Algebraic Expressions And Identities- 2 - Question 2

The expression containing two terms is called binomial.

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Test: Algebraic Expressions And Identities- 2 - Question 3

If we add, 7xy + 5yz – 3zx, 4yz + 9zx – 4y and –3xz + 5x – 2xy, then the answer is:

Detailed Solution for Test: Algebraic Expressions And Identities- 2 - Question 3

Given, 7xy + 5yz – 3zx, 4yz + 9zx – 4y and –3xz + 5x – 2xy.
If we add the three expressions, then we need to combine the like terms together.
(7xy – 2xy) + (5yz + 4yz) – 3zx + 9zx – 3xz – 4y + 5x
= 5xy + 9yz + 3zx + 5x – 4y

Test: Algebraic Expressions And Identities- 2 - Question 4

If we subtract 4a – 7ab + 3b + 12 from 12a – 9ab + 5b – 3, then the answer is:

Detailed Solution for Test: Algebraic Expressions And Identities- 2 - Question 4

(12a – 9ab + 5b – 3) – (4a – 7ab + 3b + 12)
= 12a – 9ab + 5b – 3 – 4a + 7ab -3b-12
= (12 – 4)a – (9 – 7)ab + (5 – 3)b – 3 – 12
= 8a – 2ab + 2b – 15

Test: Algebraic Expressions And Identities- 2 - Question 5

If we multiply 5x and (– 4xyz), then we get:

Detailed Solution for Test: Algebraic Expressions And Identities- 2 - Question 5

(5x)* (-4xyz)

= 5 * x * (-4) * x * y * z

= -20x1+1yz

= -20x2yz

Test: Algebraic Expressions And Identities- 2 - Question 6

The product of 3xy2z and 4x is:

Detailed Solution for Test: Algebraic Expressions And Identities- 2 - Question 6

The product of 3xy2z and 4x is:
⇒ (3xy2z) (4x)
⇒ 3.x.y2.z.4.x
⇒ 12x2y2z

Test: Algebraic Expressions And Identities- 2 - Question 7

Multiplication of pq+qr+rp and ‘zero’ is

Detailed Solution for Test: Algebraic Expressions And Identities- 2 - Question 7

- When multiplying any expression by zero, the result is always zero.
- Thus, the product of pq+qr+rp and ‘zero’ is 0.

Answer: D: 0

Test: Algebraic Expressions And Identities- 2 - Question 8

Multiplication of ‘ab’ and ‘a-b’ is

Detailed Solution for Test: Algebraic Expressions And Identities- 2 - Question 8
- To find the multiplication of 'ab' and 'a - b', use the distributive property.
- This means you multiply 'ab' by both 'a' and '-b'.
- So, you compute:
- ab * a = a^2b
- ab * -b = -ab^2
- Combine these results: a^2b - ab^2.
- Hence, the correct answer is option 4: a^2b - ab^2.
Test: Algebraic Expressions And Identities- 2 - Question 9
What is the type of expression for 564xy?
Detailed Solution for Test: Algebraic Expressions And Identities- 2 - Question 9
564xy is a monomial expression because it contains only one term.
Test: Algebraic Expressions And Identities- 2 - Question 10
Find the area of a square with side 5x²y.
Detailed Solution for Test: Algebraic Expressions And Identities- 2 - Question 10
The area of the square is side² = (5x²y)² = 25x⁴y².
Test: Algebraic Expressions And Identities- 2 - Question 11
Calculate the area of a rectangle whose length and breadths are given as 3x²y m and 5xy² m respectively.
Detailed Solution for Test: Algebraic Expressions And Identities- 2 - Question 11
Area of rectangle = Length × Breadth = (3x²y × 5xy²) = 15x³y³ m².
Test: Algebraic Expressions And Identities- 2 - Question 12
Simplify the expression (x + y + z)(x + y – z).
Detailed Solution for Test: Algebraic Expressions And Identities- 2 - Question 12
Simplifying (x + y + z)(x + y – z) results in x² + y² – z² + 2xy.
Test: Algebraic Expressions And Identities- 2 - Question 13
Simplify the expression x²(x – 3y²) – xy(y² – 2xy) – x(y³ – 5x²).
Detailed Solution for Test: Algebraic Expressions And Identities- 2 - Question 13
The simplified form of the expression is 6x³ – x²y² – 2xy³.
Test: Algebraic Expressions And Identities- 2 - Question 14
Subtract (7x + 2) from (-6x + 8).
Detailed Solution for Test: Algebraic Expressions And Identities- 2 - Question 14
(-6x + 8) – (7x + 2) = -13x + 6.
Test: Algebraic Expressions And Identities- 2 - Question 15
Subtract 3xy + 5yz – 7xz + 1 from -4xy + 2yz – 2xz + 5xyz + 1.
Detailed Solution for Test: Algebraic Expressions And Identities- 2 - Question 15
The result of the subtraction is 5xz + 5xyz - 7xy - 3yz.
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