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 3x = 3 or 5x = 0 or 5x = 0 or 3/52. If y is negative, for what range of values of y is y + 1/3 > 1/y + 3 ?-4 < y < -3-2 < y < -1-3 < y < 03 < y < 43. If xy + 1 = y² and z= (1/x) - (1/xy), express z in terms of y1 + y1/ y-11/ y+11/ x-y4. If y = (2/3)x + 1 andz = (2/3) y + 1, then the value of z when x = 66 is613131/2215. Find the values p and q in the arithmetic progression -12, p, q, 18, ...-1, 81, 11-2, 80, 96. One of the roots of the equation: 6y² = 5 - 7y is1/2-1/25/3-1/37. The length of a rectangle exceeds its width by 2cm. If the area of the rectangle is 80cm², the length of the rectangle is8 cm5 cm16 cm10 cm8. Factorize : Pqx^{2}+ 12y - 4qx - 3pxy(px-4)(qx-3y)(px+q) (x-12y)(qx-4)(px+3y)(px-3y)(qx-4)9. The sum of the first n terms of a sequence is given by Sn = n². The nth term of the sequence is1 - 2n2n + 32n - 12n + 110. What integral values of x satisfy the inequality-2 ≤ x < 2 ?-1, 0, 1-2, -1, 1, 2-2, 0, 1, 2-2, -1, 0, 111. If z ∝ 1/y² and z = 4 when y = 3, find the value of z when y = 29131812. A G.P has 6 and 24 as its 2nd and 4th terms respectively. The sum of the first four terms is6066454013. The 23rd term of the sequence 4, 7, 10, ... is9273677014. If (x - 3) < x/3,then x isx > -9x < 3x < 9/2x < 915. What is the least possible value of 9/(1 + 2y²) if 0 ≤ y ≤ 2?201916. If 3y + 4 - ( y/3) = y + 9What is Y ?635417. A mother is now twice as old as her daughter. Ten years ago the mother was four times as old as her daughter. The present ages of the daughter and the mother are, respectively15, 3030, 6025, 5020, 4018. The first term of an A.P. is equal to one-half the common difference, d. The 8th term of the A.P is6d4d(15/2)d(13/2)d19. The 2nd and 5th terms of a G.P are 2/3 and 1/12 respectively. The 1st term is1/27/34/35/320. Solve the equation: 6z² - 7z - 5 = 0z = 1/3 or 5/2z = 1/2 or -5/2z = 5/3 or -1/2z = -5/3 or 1/221. The common ratio in the G.P log 2, log 4, log 16, ... islog 234222. Simplify : 8a - 3(2a - 3b)2a + 9b2a + 3b2a - 9b5a - 9b23. Solve the following inequality:1/3 (2y -1) < 5y < 7y < -6y < 8y < -524. Find the real numbers n satisfying n(3/n) + n > 2n < 1All real numbersn > -1n > 225. The 5th and 10th terms of an A.P are 0 and 10 respectively. the 20th is2030364026 out of 25Time is Up! Time's up