26/03/2020 Algebra(Study by Topics Senior Class Test) 0Comments by Gate Academy Please, fill out the information below to continue. Note: This is a sample test, and you can only take it for a limited period, after which you will be required to subscribe to a plan NAME EMAIL PHONE NUMBER 1. Solve the equation:5x² = 3xx = 0 or 5x = 0 or 3x = 3 or 5x = 0 or 3/52. Solve the equation 3x + 10 = x²-5 or -2-5 or 25 or -25 or 23. If y is a positive number, for what values of y is4 + 3y < 10 ?0 < y < 21 < y < 20 > y > 2y < 24. What is the least possible value of 9/(1 + 2y²) if 0 ≤ y ≤ 2?90215. Given that A varies inversely as B, and B varies directly as the square of C, and A = 1 when C = 3, find the value of A when C = 1/31/2727811/96. Q is jointly proportional to the cube of X and the fourth power of Y. If X is halved and Y is doubled, then the value of Q isincreased in the ratio 1 : 4left unchangeddecreased in the ratio 4 : 1increased in the ratio 1 : 27. Five years ago, a father was four times as old as his son. In five years time the father will be twice as old as the son. If x and y are the present ages of the father and the son respectively, the equations relating x and y are:4y - x = 15; x - 2y = 54y - x = 0; x- 2y = 0x - 4y = 15; y - 2x = 54y - x = 25; x - 2y = 58. Factorize: 9 - (a²-3a-1)²-(a-2)(a+1)(a+2)(a+4)-(a-4)(a+1)(a-1)(a-2)(a-4)(a-3)(a-2)(a+1)(a-4)(a-2)(a-1)(a+1)9. Evaluate: 27.63² - 22.37²241.327.7189.0263.010. If 4x - 2 = 3x -5, the value of 7x is-37-21-4911. Solve for y: 25^{y} + 3(5^{y}) = 41-4 or 001 or 412. If 4/3, m, 1, n form a G.P, the product of m and n is9/1614/33/413. Find the value of x for which 3^{2x} + 6(3^{x}) = 273-1-3114. The sum of the ages of a father and his daughter is 85 years. Five years ago, the father was exactly four times as old as his daughter. The present age of the father is57 yr.53 yr.65 yr.61 yr.15. Factorize: a² + 4a - 192(a-48)(a+4)(a-12)(a-16)(a-4)(a+48)(a-12)(a+16)16. Given that a+b = 3/2 and a-b = 5/2, the value of 2b + a is11/22/3-217. The length of a rectangle exceeds its width by 2cm. If the area of the rectangle is 80cm², the length of the rectangle is16 cm10 cm8 cm5 cm18. The product of the present ages of a mother and her daughter is 432. Four years ago, the mother was exactly four times as old as the daughter. Their present ages are30, 1828, 1448, 936, 1219. What is the common factor to the binomial expressions 4x²-9y², 8x³+27y³ and (4x+6y)² ?2x-3y4x+6y2x+3y4x-6y20. The 1st and 4th terms of a G.P are -3 and 24 respectively. The sum of the first four terms is-151545-4521. Solve the inequality 12y² < y + 1- 1/4 < y < -1/3-1/4 < y < 1/31/4 < y < 1/3-1/3 < y < 1/422. If 19x = 240² - 235², the value of x is125205259523. Z is partly constant and partly varies inversely as the square of D. When D = 1, Z = 11 and when D = 2, Z = 5. Find the value of Z when D = 4525.53.524. Factorize: 5x²+2ax-3a²(5x-a)(x+3a)(5x+a)(x-3a)(x+a)(5x-3a)(x-a)(5x+3a)25. The 2nd and 9th terms of an A.P are 391 and 328 respectively. The 7th term is34637340035526 out of 25Time is Up!