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Olympiad Test: Algebraic Expressions - Class 7 MCQ


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20 Questions MCQ Test Mathematics (Maths) Class 7 - Olympiad Test: Algebraic Expressions

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

The constant term in the expression 1 + x2+ x is

Detailed Solution for Olympiad Test: Algebraic Expressions - Question 1

The constant term in the expression 1+x²+x is 1.

Olympiad Test: Algebraic Expressions - Question 2

The coefficient of yin the expression y − y3+ y2is

Detailed Solution for Olympiad Test: Algebraic Expressions - Question 2

Coefficient is the numerical number associated with the variable. So here we have (-1)y3. So the answer is -1.

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Olympiad Test: Algebraic Expressions - Question 3

Multiply 2a and 3a.

Detailed Solution for Olympiad Test: Algebraic Expressions - Question 3

multiplication of a number with variable gives multiplication of integer with integer and variables with variables

in given question, it'll lead to

2a x 3a = 6a2

Olympiad Test: Algebraic Expressions - Question 4

Get the algebraic expressions for subtraction of z from y.

Olympiad Test: Algebraic Expressions - Question 5

Find the value of x + 4 for x = 2. 

Olympiad Test: Algebraic Expressions - Question 6

Find the product of (2x+3y)(2x+3y). 

Detailed Solution for Olympiad Test: Algebraic Expressions - Question 6

To find the product of (2x+3y)(2x+3y), you can use the distributive property

(2x + 3y)(2x + 3y)

= (2x)(2x) + (2x)(3y) + (3y)(2x) + (3y)(3y)

= 4x2 + 6xy + 6xy + 9y2

Now, combine like terms:

= 4x+ 12xy + 9y2

So, the product of (2x+3y)(2x+3y) is 4x2 + 12xy + 9y2

Olympiad Test: Algebraic Expressions - Question 7

When terms have the same algebraic factor, they are called __________.

Olympiad Test: Algebraic Expressions - Question 8

An expression which contains two unlike terms is called _______.

Olympiad Test: Algebraic Expressions - Question 9

A _________ can take various values.

Olympiad Test: Algebraic Expressions - Question 10

What degree does x3 - x2y2 - 8y2+ 2 have?

Detailed Solution for Olympiad Test: Algebraic Expressions - Question 10

The degree of a polynomial is determined by the highest power of the variable. In the expression x3 - x2y2 - 8y2 + 2, the highest power of x is 3, so the degree of the polynomial is 3.

Olympiad Test: Algebraic Expressions - Question 11

Simplify these expressions and find their values, if x = 3, a = – 1, b = – 2.
3x – 5a – x2 + 9b

Detailed Solution for Olympiad Test: Algebraic Expressions - Question 11

3x - 5a -x 2 + 9b = 3*3 - 5(-1)-32 + 9 (-2) = 9 + 5 -9 - 18 = 5 - 18 = -13

Olympiad Test: Algebraic Expressions - Question 12

Simplify these expressions and find their values, if x = 3, a = – 1, b = – 2.
2b – 8x +4x2 + 4a

Detailed Solution for Olympiad Test: Algebraic Expressions - Question 12

2b-8x+4x2+4a
=2(-2)-8(3)+ 4(3)2+4(-1)
=-4-24+36-4
=4

Olympiad Test: Algebraic Expressions - Question 13

Simplify combining like terms: 3a – 2b – ab – (a – b + ab) + 3ab + b – a

Detailed Solution for Olympiad Test: Algebraic Expressions - Question 13

3a – 2b – ab – (a – b + ab) + 3ab + b – a
write similar terms with each other
3a-a-a-2b+b+b-ab-ab+3ab
a+ab

Olympiad Test: Algebraic Expressions - Question 14

Which of the following is obtained by subtracting x2-y2 from y- x2?

Detailed Solution for Olympiad Test: Algebraic Expressions - Question 14

y2-x2-(x2-y2)=y2-x2-x2+y2=2y2-2x2=-2(x2-y2)

Olympiad Test: Algebraic Expressions - Question 15

What should be taken away from 3x2− 4y2+ 5xy+ 20 to obtain −x2−y2+ 6xy+ 20?

Detailed Solution for Olympiad Test: Algebraic Expressions - Question 15

3x- 4y+ 5xy + 20-  (-x- y+ 6xy+20)
=3x- 4y+ 5xy + 20 + x2 + y- 6xy-20)
=4x2-3y2-xy

Olympiad Test: Algebraic Expressions - Question 16

The number of terms in the expression 1.2ab – 2.4 b + 3.6a is

Olympiad Test: Algebraic Expressions - Question 17

What is the numerical coefficient of y2in the expression 2x2y - 15xy+ 7y

Olympiad Test: Algebraic Expressions - Question 18

The simplified form of the Boolean expression xy'z + x'y'z + xy'z' is

Detailed Solution for Olympiad Test: Algebraic Expressions - Question 18

Calculation:

Given: f(x,y,z) = x y̅ z + x̅ y̅ z + x y̅ z̅ 

x y̅ z + x y̅ z̅ + x̅ y̅ z

x y̅ ( z + z̅) + x̅ y̅ z

x y̅ + x̅ y̅ z

y̅ (x + x̅ z)

y̅ (x + x̅ )(x + z)

y̅ z + y̅ x

Olympiad Test: Algebraic Expressions - Question 19

The expression xyz is

Olympiad Test: Algebraic Expressions - Question 20

From the following expressions 10pq, 7p, 8q, −p2q2, -7pq, -23, ab, 3a, b.The like terms are

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