Welcome to your Solving Algebraic Equations(Study by Topics Junior Class) NAME EMAIL PHONE NUMBER Solve the equation a² - 2a -3 = 0 -3, 1 -1, 3 -1, -3 3, 1 Solve the equation 5x² = 3x 0 or 5 3 or 5 0 or 3 0 or 3/5 If 5 is subtracted from twice a certain number, the result is the same as adding 8 to the original number. Express this statement as an equation. 2x - 5 = x + 8 2(5 - x) + 8 = x x - 25 = 8 + x 2x + 5 = x -8 5 - 2x = x + 8 One of the roots of the equation 6y² = 5 - 7y is 5/3 1/2 -1/3 -1/2 Which of the following is a root of the equation y² + 6y = 0? 3 0 1 2 Solve the equation 6(y-4) + 3(y+7) = 6 1 3/2 2/3 0 Find the quadratic equation whose roots are y = 7 and y = -2 y² + 2y - 7 = 0 y² - 2y + 7 = 0 y² + 5y + 14 = 0 y² - 5y - 14 = 0 If 2x + 1 = 15, then x = 14 8 16 12 7 Solve the equation 2x² - 3x - 27 = 0 -3, 9/2 3/2, 9 3, 9/2 -2/3, 9 Solve the equation 3x + 4 = 5x - 6 -5 -3 5 -4 3 Solve for a in the equation 4 - 6a = -2 -1 1 -3 3 1/3 Solve the equation (a - 7)(a + 2) = 0 a = -1 or 8 a = -2 or 7 a = 2 or -7 a = -4 or -5 One of the roots of the equation x² + 9 = 0 is -3 3 -9 none of these The equation whose roots are 1/2 and -7 is 2x² + 13x - 7 = 0 2x² - 13x - 7 = 0 2x² + 14x - 7 = 0 2x² + 7x -14 = 0 If P = R/ R+2 % R+2/ R, where R is a number which is neither 0 nor -2, then P ≤ 0 P > 0 P ≥ 0 P = 1 The roots of the equation5 + 3y - 2y² = 0 are 5/2, -1 -5/2, -1 5/2, 1 -5/2, 1 The positive root of a equation 4x² + 7x = 1, correct to e decimal places is 1.062 0.133 10.623 0.322 When the number x is doubled and 7 is subtracted from it, the result is equal to 8. Represent the statement algebraically. 2x = 7 - 8 3(x - 7) = 8 2x - 7 = 8 7 - 2x = 8 x/2 - 7 = 8 If 4x - 2 = 3x - 5, the value of 7x is -21 -49 -3 7 If y = 2/3 x + 1 and z = 2/3 y + 1, then the value of z when x = 66 is 31 21 31/2 61 1 out of 20 Time is Up! Time's up