Infinite Algebra 1 - A54 - Solving Quadratics Chapter Review

Algebra 1

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A54 - Solving Quadratics Chapter Review

Date________________ Period____

Sketch the graph of each function, then complete the missing information. 1) f ( x) = - x 2 + 8 x - 18

2) f ( x) = 2( x - 3) 2 - 4

y

y 1

2

3

4

5

6

5

7 x

4

-1

3 -2

2 1

-3

1

-4

2

3

4

5

6

7

8

9

10 x

-1 -5 -6

-2 -3 -4

-7

-5

Solve each equation by factoring. 3) 3 x 2 - 6 x = 144

4) 2 x 2 - 2 x = 84

5) 2b 2 + 64 = 24b

6) 2n 2 + 20n = -32

Solve each equation by taking square roots. 7) 4(n - 2) 2 + 4 = 20

8) 3r 2 + 8 = -23

9) 10n 2 + 5 = 635

10) 8(v + 5) 2 - 6 = 354

Solve each equation by completing the square. 11) x 2 - 20 x + 86 = -6

12) r 2 + 8r - 38 = -6

13) r 2 - 2r - 23 = 3

14) n 2 - 6n - 34 = 7 Worksheet by Kuta Software LLC

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15) m 2 - 8m + 2 = 7

16) 2 x 2 + 16 x + 6 = 2

Solve each equation with the quadratic formula. 17) x 2 = 2 - 3 x

18) 9r 2 - 4r = 12

19) 11 x 2 + 8 x = -4

20) 10r 2 - 10r = -2

21) 12 x 2 + 12 x = 21

22) 4 x 2 = 100

23) a 2 - 126 = -11a

24) 2 x 2 - 6 = 10 x

25) 6n 2 = 2 - n

26) 7 x 2 = 14

Simplify. 27)

29)

31)

4

3

150r 10

96n

28)

3

54n 5

30)

128n 13

4

81b 9

32)

48k 2

Rewrite each expression as a radical 33) x

4 3

35) 17

34) 12

2 13

36) 2

5 7

1 2

Worksheet by Kuta Software LLC

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