CC Algebra 2H: Chapter 3 Review #2. Matching. Match the ... 6. 4x2 + 2x = 20- 6x. Match the nonlinear system or quadratic equation below with its solu...

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CC Algebra 2H: Chapter 3 Review #2 Matching Match the equation below with its solution. e. a. x 12 and x 10 b. c. d.

15

269 2 x 5 and x 3 x 1 6 x

x 6

15

f.

x 4 i

g. h.

x 4 and x 3 x 36 i 17

1.

x 2 8x 16 1

4. x 2 12x 21 0

2.

x 2 8x 16 1

5. x(x 15) 11

3.

2x 2 4x 240 0

6. 4x 2 2x 20 6x

Match the nonlinear system or quadratic equation below with its solution. e. ÊÁË 3,18ˆ˜¯ a. ÊÁË 2,0 ˆ˜¯ and ÊÁË 4,2ˆ˜¯ b. ÊÁË 2,6 ˆ˜¯ and ÊÁË 6,10 ˆ˜¯ f. (4,1) and (1,4) c. (5,0) and (3,2) g. x 0.43 and x 4.70 Ê ˆ Ê ˆ d. ÁË 6,0 ˜¯ and ÁË 0,6˜¯ h. x 0.43 and x 4.70 7. y x 5

10. y 2x 2

y 2x 2 10x 22

y 0.5(x 5) 2

11. x 3

8. y x 2 6x 9

x 2 10x y 3

y x 5 9. y

12. x 2 y 2 36

1 2 (x 2 ) 2

y 6x

1 2 y (x 4 ) 2 2

13. 3x 2 11x 14 5x 2 30x 30

1

A

A Short Answer Solve the equation.

23.

y x 2 4x 3

14. 3 (x 6 ) 4 3 2

Solve the inequality. Round decimal answers to the nearest hundredth.

15. x 2 53 98

24. x 2 9x 20 0

Find the zero(s) of the function. 16. f (x )

y x 2 6x 9

1 2 x 72 3

25. x 2 11x 24 0 26. x 2 2x 5 0

1 17. f (x ) x 2 96 5

27. x 2 4x 2 0 Find the square root of the number. 18.

28. You have a garden that measures 14 feet by 19 feet. You want to put a sidewalk around the garden but are not sure how wide to make it. Determine how wide the sidewalk should be when the total area of the garden and sidewalk is 500 square feet. Justify your answer.

27 Perform the operation. Write the answer in standard form.

19. 1 (16 20i) 9i 20. Find the value of c that makes p 2 5p c a perfect square trinomial. Then write the expression as the square of a binomial. 21. Find the discriminant of the quadratic equation 5x 2 4x 21 0 and describe the number and type of solutions of the equation. Graph the system of quadratic inequalities. 22. y 2x 2

y 2x 2 3

2

ID: A

CC Algebra 2H: Chapter 3 Review #2 Answer Section MATCHING 1. 2. 3. 4. 5. 6.

C F A E B D

7. 8. 9. 10. 11. 12. 13.

C F A B E D H

SHORT ANSWER 14. x 6

21 3

15. x 3i

5

16. x 6i

6

17. x 4i

30

18. 3i 3 19. 15 11i 2 5 ˜ˆ 25 ÊÁÁÁ ; ÁÁ p ˜˜˜˜ 20. 2¯ 4 Ë 21. 436; two real solutions

1

ID: A

22.

23.

24. 25. 26. 27. 28.

5 x 4 x 8 or x 3 about 3.45 x 1.45 about 0.59 x 3.41 3 ft; (2x 14) (2x 19) 500 4x 2 66x 234 0 x

66

66 2 4(4)(234) 2(4)

x 19.5 and x 3 Reject the negative solution of –19.5 because the width cannot be negative.

2