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Like terms in the expression n(n + 1) + 6 (n – 1) are ___and .

Answer: Like terms in the expression n(n + 1) + 6 (n - 1) are n and 6n. Consider the given expression, n(n + 1) + 6 (n - 1) = n2 + n + 6n - 6 =... View Article

Number of terms in a monomial is ________.

Answer: Number of terms in a monomial is 1. A polynomial is defined as an expression that is composed of variables, constants and exponents,... View Article

In the expression 2πr, the algebraic variable is ________.

Answer: In the expression 2πr, the algebraic variable is r. An algebraic expression in mathematics is an expression which is made up of... View Article

–5a²b and –5b²a are ________ terms.

Answer: -5a2b and -5b2a are unlike terms. The like terms are defined as the terms that contain the same variable which is raised to the same... View Article

3a²b and –7ba² are ________ terms.

Answer: 3a2b and -7ba2 are like terms. The like terms are defined as the terms that contain the same variable which is raised to the same... View Article

In the formula, area of circle = πr², the numerical constant of the expression πr² is ________.

Answer: In the formula, area of circle = πr2, the numerical constant of the expression πr2 is π. A constant is a value or number that... View Article

Sum or difference of two like terms is ________.

Answer: Sum or difference of two like terms is a like term. The like terms are defined as the terms that contain the same variable which is... View Article

The length of a side of square is given as 2x + 3. Which expression represents the perimeter of the square? (a) 2x + 16 (b) 6x + 9 (c) 8x + 3 (d) 8x + 12

Answer: (d) 8x + 12 The perimeter of any closed geometrical object is defined as the distance around that object. For a square, the perimeter is... View Article

The expression for the number of diagonals that we can make from one vertex of a n sided polygon is: (a) 2n + 1 (b) n – 2 (c) 5n + 2 (d) n – 3

Answer: (d) n - 3 Because a vertex is formed by connecting two sides together. A diagonal is a line segment that connects two opposite vertex... View Article

The value of 3x² – 5x + 3 when x = 1 is (a) 1 (b) 0 (c) –1 (d) 11

Answer: (a) 1 From the question it is given that, value of x = 1 Substitute the value of x in the expression 3x2 - 5x + 3 = (3 × (1)2) - (5... View Article

123x²y – 138x²y is a like term of : (a) 10xy (b) –15xy (c) –15xy² (d) 10x²y

Answer: (d) 10x2y 123x2y - 138x2y = (123 - 138) x2y 123x2y - 138x2y = -15 x2y Therefore, -15x2y is a like term of 10x2y, because both contain... View Article

The number of scarfs of length half metre that can be made from y metres of cloth is: (a) 2y (b) y/2 (c) y + 2 (d) y + 1/2

Answer: (a) 2y From the question it is given that, length of scarf is half metre = ½ m Then, the number of scarfs can be made from y... View Article

The side length of the top of square table is x. The expression for perimeter is: (a) 4 + x (b) 2x (c) 4x (d) 8x

Answer: (c) 4x The perimeter of any closed geometrical object is defined as the distance around that object. For a square, the perimeter is... View Article

– b – 0 is equal to (a) –1 × b (b) 1 – b – 0 (c) 0 – (–1) × b (d) – b – 0 – 1

Answer: (a) -1 × b -1 × b - b - 0 = -b A polynomial is defined as an expression that is composed of variables, constants and... View Article

The subtraction of 5 times of y from x is (a) 5x – y (b) y – 5x (c) x – 5y (d) 5y – x

Answer: (c) x - 5y A polynomial is defined as an expression that is composed of variables, constants and exponents, that are combined using... View Article

The sum of x⁴ – xy + 2y² and –x⁴ + xy + 2y² is (a) Monomial and polynomial in y (b) Binomial and Polynomial (c) Trinomial and polynomial (d) Monomial and polynomial in x

Answer: (a) Monomial and polynomial in y Consider the given equation, x4 - xy + 2y2 and -x4 + xy + 2y2 Sum of two expressions = (x4 - xy + 2y2)... View Article

Identify the binomial out of the following: (a) 3xy² + 5y – x²y (b) x²y – 5y – x²y (c) xy + yz + zx (d) 3xy² + 5y – xy²

Answer: (d) 3xy2 + 5y - xy2 Expression with two unlike terms is called a ‘Binomial’. The expression 3xy2 + 5y - xy2 is further... View Article

Which of the following is a pair of like terms? (a) –7xy²z, – 7x²yz (b) – 10xyz², 3xyz² (c) 3xyz, 3x²y²z² (d) 4xyz², 4x²yz

Answer: (b) -10xyz2, 3xyz2 The terms having the same algebraic factors are called like terms. The like terms are defined as the terms that... View Article

Coefficient of x in – 9xy²z is (a) 9yz (b) – 9yz (c) 9y²z (d) – 9y²z

Answer: (d) -9y2z A coefficient is a numerical factor in a term. Sometimes, any factor in a term is called the coefficient of the remaining part... View Article

Factors of –5x²y²z are (a) – 5 × x × y × z (b) – 5 × x² × y × z (c) – 5 × x × x × y × y × z (d) – 5 × x × y × z²

Answer: (c) - 5 × x × x × y × y × z Factors may be numerical as well as algebraic. A polynomial is defined as an... View Article

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