5.2 Review Worksheet
5.2.1 Solving Quadratic Inequalities Graph each inequality. 1. y < x 2 + 2 x − 5 2. >− + y x 3 2
1 2
3. y ≤ 2( x − 1) 2 − 3
4. y ≥ x 2 + 6
5. y < ( x + 1)( x + 4)
6. y ≤ x 2 − 2 x + 6
Solve each inequality by using tables or graphs. 7. x 2 − x + 5 < 11 8. 2 x 2 + 3 x + 6 ≥ 5
9. x 2 − 5 x + 12 > 6
10. x 2 − 2 x − 8 > 0
11. x 2 + 7 x + 6 ≤ 6
12. x 2 − 12 x + 32 < 12
Solve each inequality by using algebra. 13. x 2 − 11 x + 13 ≤ 25
14. − 2 x 2 + 3 x + 4 ≥ − 1
15. x 2 − 5 x − 4 < − 9
16. A football thrown by a quarterback follows a path given by h ( x ) = − 0.0095 x 2 + x + 7, where h is the height of the ball in feet and x is the horizontal distance the ball has traveled in feet. If any height less than 10 feet can be caught or knocked down, at what distances from the quarterback can the ball be knocked down?
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