26/03/2020Algebra(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. What integral values of x satisfy the inequality-2 ≤ x < 2 ?-1, 0, 1-2, 0, 1, 2-2, -1, 0, 1-2, -1, 1, 22. For what range of values of y is 1/y > 2 ?0 < y < 1/21 < y < 2y < 0 or y > 1/2y < 1/23. The length of a rectangle exceeds its width by 2cm. If the area of the rectangle is 80cm², the length of the rectangle is16 cm8 cm5 cm10 cm4. The 1st and the 11th terms of an A.P. are -5 and 20 respectively. The common difference is535/245. Given that a+b = 3/2 and a-b = 5/2, the value of 2b + a is-212/31/26. Solve the equation:6(y - 4) + 3(y + 7) = 612/33/207. The 2nd and 5th terms of a G.P are 2/3 and 1/12 respectively. The 1st term is7/34/35/31/28. P is directly proportional to M and inversely proportional to N. If P = 9 when M = 24 and N = 8, find the value of P when M = 5 and N = 6115/25/418/59. What is the least possible value of 9 / (1 + 2y²) if 0 ≤ y ≤ 2 ?210910. When the price of eggs was raised by £2 an egg, the number of eggs which can be bought by Tara for £120 is reduced by 5. What is the present price that Tara would buy an egg?£6£7£8£1011. Solve the following inequality:1/3 (2y -1) < 5y < -6y < -5y < 7y < 812. One of the roots of the equation:x² + 9 = 0-3-93none of these13. John was 40 years old in 1995 while his father was 65. In what year was John exactly half his father's age?199019851978198014. Factorize: 9 - (a²-3a-1)²(a-4)(a-3)(a-2)(a+1)-(a-2)(a+1)(a+2)(a+4)(a-4)(a-2)(a-1)(a+1)-(a-4)(a+1)(a-1)(a-2)15. The sum of the first five terms of the G.P 3, -6, 12, is-3331933316. Solve the equation:5x² = 3xx = 0 or 3x = 0 or 5x = 3 or 5x = 0 or 3/517. The integral values of y which satisfy the inequality -1 < 5 - 2y ≤ 7 are-1, 0, 1, 2, 3-1, 0, 1, 20, 1, 2, 3-1, 0, 2, 318. A motorist drove a distance of 90km at constant speed for the first 40km and then drove 20km/hr faster for the rest of the journey. If the whole journey took him one hour, his average speed for the first 40km was60 km/hr40 km/hr70 km/hr80 km/hr19. The following are factors of 2x² - 2 exceptx-12x+12x-2x+120. If xy + 1 = y² and z= (1/x) - (1/xy), express z in terms of y1/ y+11 + y1/ x-y1/ y-121. Find all real numbers n for which 1/3 (n+1) - 1 > 1/5 (n+4)n < 6n < -1n > 11n < 1122. The value of the expression (9/4) x³ - (9/2) x² - (8/27) x^{-3 }when x = - 2/3 is7/3-5/3-20/3623. Which of the following is a root of the equationy² + 6y = 0 ?032124. The 5th and 10th terms of an A.P are 0 and 10 respectively. the 20th is3020403625. 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 = 4523.55.526 out of 25Time is Up!