NAME DATE PERIOD 4-8 Skills Practice - Welcome to Mr. Ryder's Website!

嚜燒AME

DATE

4-8

PERIOD

Skills Practice

Quadratic Inequalities

Graph each inequality.

1. y ≡ x2 - 4x + 4

2. y ≒ x2 - 4

y

3. y > x2 + 2x - 5

4

6

y

y

-4

2

-2

-2

4

-4

2

2

O

4x

-4

每2

2

O

-2

-2

4

x

4x

2

O

-6

每4

Solve each inequality by graphing.

Copyright ? Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

每2

5. -x2 - 4x + 32 ≡ 0

6. x2 + x - 10 > 10

y

8

y

12

15

6

30

5

4

18

2

6

O

2

4

6x

{x ? x = 3}

-6

-4

-6

-2 O

y

2

6

x

每5

2

-2O

-6

6x

{x ? -8 ≒ x ≒ 4}

每15

{x ? x < -5 or x > 4}

Solve each inequality algebraically.

7. x2 - 3x - 10 < 0

8. x2 + 2x - 35 ≡ 0

{x? -2 < x < 5}

9. x2 - 18x + 81 ≒ 0

{x ? x ≒ -7 or x ≡ 5}

10. x2 ≒ 36

{x ? x = 9}

11. x2 - 7x > 0

{x ? -6 < x < 6}

12. x2 + 7x + 6 < 0

{x ? x < 0 or x > 7}

13. x2 + x - 12 > 0

{x ? -6 < x < -1}

14. x2 + 9x + 18 ≒ 0

{x ? x < -4 or x > 3}

15. x2 - 10x + 25 ≡ 0

{x ? -6 ≒ x ≒ -3}

16. -x2 - 2x + 15 ≡ 0

{x ? -5 ≒ x ≒ 3}

{all real numbers}

17. x2 + 3x > 0

18. 2x2 + 2x > 4

{x ? x < -3 or x > 0}

19. -x2 - 64 ≒ -16x

{x? x < -2 or x > 1}

20. 9x2 + 12x + 9 < 0

{all real numbers}

Chapter 4



51

Glencoe Algebra 2

Lesson 4-8

4. x2 - 6x + 9 ≒ 0

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