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Find and correct the errors in the following mathematical statements. (1) x + 2x + 3x = 5x (2) 5y + 2y + y – 7y = 0 (3) 3x + 2x = 5x²

Answer: LHS = x+2x+3x = 6x RHS = 5x ∴ LHS ≠ RHS The correct statement is x + 2x + 3x = 6x LHS = 5y + 2y + y - 7y = y RHS = 0... View Article

Find and correct the errors in the mathematical statement. (1) (4x + 5)/4x = 5 (2) (7x + 5)/5

Answer: LHS = 3/(4x+3) RHS = 1/4x ∴ LHS ≠ RHS The correct statement is 3/(4x + 3) = 3/(4x + 3) LHS = (7x+5)/5 LHS = (7x/5) + 5/5... View Article

Find and correct the errors in the mathematical statement. (2a + 3b)(a – b) = 2a² – 3b²

Answer: LHS = (2a + 3b)(a - b) RHS = 2a2 - 3b2 LHS = (2a + 3b)(a - b) LHS = 2a(a - b) + 3b(a - b) LHS = 2a2 - 2ab + 3ab - 3b2 LHS = 2a2 + ab -... View Article

Find and correct the errors in the mathematical statement. (3x² + 1)/3x² = 1 + 1 = 2

Answer: LHS = (3x2+1)/3x2 RHS = 2 LHS = (3x2+1)/3x2 LHS = (3x2/3x2) + (1/3x2) LHS = 1 + 1/3x2 But RHS is 2 ∴ LHS ≠ RHS The correct... View Article

Find and correct the errors in the mathematical statement. (a – 4)(a – 2) = a² – 8

Answer: LHS = (a - 4)(a - 2) RHS = a2 - 8 LHS = a(a - 2) - 4(a - 2) LHS = a2 - 2a - 4a + 8 LHS = a2 - 6a + 8 But RHS is a2 - 8 ∴ LHS... View Article

Find and correct the errors in the mathematical statement. (a + 4)(a + 2) = a² + 8

Answer: LHS = (a + 4)(a + 2) RHS = a2 + 8 LHS = a(a + 2) + 4(a + 2) LHS = a2 + 2a + 4a + 8 LHS = a2 + 6a + 8 But RHS = a2 + 8 ∴ LHS ≠... View Article

Find and correct the errors in the mathematical statement. (y – 3)² = y² – 9

Answer: LHS = (y - 3)2 RHS = y2 - 9 Using the identities (a - b) 2 = a2 + b2 - 2ab (y - 3)2 = y2 + (3) 2 - 2y × 3 (y - 3)2 = y2 + 9 - 6y... View Article

Find and correct the errors in the mathematical statement. (z + 5)² = z² + 25

Answer: LHS = (z + 5)2 RHS = z2 + 25 Using the identitities (a + b)2 = a2 + b2 + 2ab (z + 5)2 = z2 + 52 + 2 × 5 × z (z + 5)2 = z2 +... View Article

Find and correct the errors in the mathematical statement. 3/(4x + 3) = 1/4x

Answer: LHS = 3/(4x + 3) RHS = 1/4x So LHS ≠ RHS The correct statement is 3/(4x + 3) = 3/(4x + 3)... View Article

Find and correct the errors in the mathematical statement. 3x/(3x + 2) = ½

Answer: LHS = 3x / (3x + 2) RHS = 1/2 ∴ LHS ≠ RHS The correct statement is 3x/(3x + 2) = 3x/(3x + 2)... View Article

Find and correct the errors in the mathematical statement. 3x²/3x² = 0

Answer: LHS = 3x2/3x2 RHS = 0 LHS = 3x2/3x2 LHS = 1 ∴ LHS ≠ RHS The correct statement is 3x2/3x2 = 1... View Article

Find five rational numbers between -3/2 and 5/3

Answer: Rational numbers are represented in p/q form where q is not equal to zero. It is also a type of real number. Any fraction with non-zero... View Article

Find five rational numbers between ¼ and ½

Answer: 7/24, 8/24, 9/24, 10/24, 11/24 Rational numbers are represented in p/q form where q is not equal to zero. It is also a type of real... View Article

Find p(0), p(1) and p(2) for the following polynomial: p(t) = 2 + t + 2t² − t³

Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree is the... View Article

Find p(0), p(1) and p(2) for the following polynomial: P(x) = (x−1)(x+1)

Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree is the... View Article

Find p(0), p(1) and p(2) for the following polynomial: p(x) = x³

Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree is the... View Article

Find p(0), p(1) and p(2) for the following polynomial: p(y) = y² − y + 1

Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree is the... View Article

Find ten rational numbers between 3/5 and ¾,

Answer: 49/80, 50/80, 51/80, 52/80, 54/80, 55/80, 56/80, 57/80, 58/80, 59/80. Rational numbers are represented in p/q form where q is not equal... View Article

Find the areas of rectangles with the following pairs of monomials as their lengths and breadths respectively. (p, q) ; (10m, 5n) ; (20x² , 5y²) ; (4x, 3x²) ; (3mn, 4np)

Answer: A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at... View Article

Find the common factors of: 10 pq, 20qr, 30 rp

Answer: 10 In Maths, common factors are defined as factors that are common to two or more numbers. A common factor is a number with which a set... View Article

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