Linear inequalities and quadratic equations test

© 2006 1 -2010 tutorco.com 1. State true or false : (i) 9 > 6 (ii) -7 > -5 4. X < -12 means : a) X is more than 12 b) 12 is more than X c) X is greater than negative 12 d) X is less than negative 12 6. -10x < 30 will contain the set: a) x > 3 b) x < -3 c) x > -3 d) x < 3 TOPIC: LINEAR INEQUALITIES AND QUADRATIC FUNCTIONS Al-I/6/6/S © 2006 2 -2010 tutorco.com 9. Check whether x = 6 is a solution of x + 1 > x + 5 10. Check whether t = -3 is a solution of (t + 5) (t -1) 14. State whether the value for the unknown makes the inequality true or false. 15 -m 4 m = 11 15 a 10 a = 153 76 19h h = 4 22 < 19 + q q = 5 © 2006 3 -2010 tutorco.com 1. Graph the following inequalities on the number line: 1. 2x < 6 -x 2. 4x + x > 5 -x + x 2. Graph the following inequalities 1. © 2006 4 -2010 tutorco.com 2. y < 2x + 3 1) Solve the following inequalities: 1) 5x -8 < 12 2) 2x + x < 5 -x + x 3) 4 -2x 2x – 4 © 2006 5 -2010 tutorco.com 4) -2x – 5 -3 – x 5) 2x -3 > 2(1 -x) Are the following equations quadratic? If yes then write the equations in the general form (ax2 + bx + c = 0) 6 – x (x2 + 2) = 0 x2 + 2 = x + 5 x2 -3(x -3)2 = 2 © 2006 6 -2010 tutorco.com Check whether the given value is the solution of the given quadratic equation. a) 7x2 -63 = 0, x = 3 b) 2x2 = 50 X = 5 c) 30x2 + 12 = 42 X = 1 d) 8 = x2 + 2x − 3, x = 2 © 2006 7 -2010 tutorco.com 1. State the direction of opening (upward/downward) for the graph of each equation. x² = 16y y = -2x2 + 5x + 3 2. Find the x and y intercepts for each of the quadratic functions: y = 2x2 + 2x -4 y = 5 + x2© 2006 8 -2010 tutorco.com Graph the following quadratic functions :