Honors Algebra 2

Lassiter HS Summer Packet

Name___________________________________

?t j2s0V1B9b uKCu_tyaP VSToZfstRwtarrXe` XLOLHCV.Y S ^Ahlolg \r[iXgFhntHsW Gr`eHsOe_rdvMeQdq.

Honors Algebra 2

Because we will be going deeper into each concept than the on-level Algebra 2 classes, I will be taking this packet up within the first week and will be counting it as an optional quiz grade.

Solve each equation.

1) -40 + 8 p = 8(1 + 3 p)

2) -2(-5 + 2k) = -7k + 34

1

1

3) - x + 1 + 2 = 8 + 2x

4

2

15 5 125 1 4) - r - = - 1 r

4 4 16 3

3 117 5) - + 2 x = x + x

8 334

3 13 7 1 1 6) - r - = r + +

2 4 3 43

Solve each proportion.

58

7)

=

b-3 b

2 n+5 8) =

3 n

k-6 k+8

9)

=

12 4

10 v + 8 10) =

11 v + 10

4

3

11)

=

x + 12 x - 5

7

11

12) -

=

x + 10 x + 5

Worksheet by Kuta Software LLC

-1- ?^ F2U0b1B9y ^KquRtqaY KSNoifAtEwnawrleT tLXLGCA.V y EAZlNlr Xrhidgyhqtisp TrbeQsPeWrCvrexdn.G m fM]aEdlee WwMiytmhO gIJnNfziqnaiwtzex iAllAgyeZbOrlax n1q.

Find each product.

13) (n + 2)(n - 2) 15) (5x - 3)2

Factor each completely. 17) k2 + k - 30 19) 3n2 - 21n + 36 21) 5x2 - 25x + 20 23) 12x2 - 2x - 24 25) 6a2 - 23a - 4 27) 6r2 + 11r - 10

14) (3x - 4)(3x - 4) 16) (7 + 2 p)(7 - 2 p)

18) n2 - 13n + 30 20) 5x2 - 25x - 250 22) v2 + 16v + 64 24) 6a2 + 7a - 5 26) 12k2 - 14k - 40 28) 24k2 + 76k + 40

-2- ?k B2J0g1c9j dKquztBas TSkoQfctTwuaRrOee jLTL\CE.t c aAIlgll Irei\gihKthsS CrGeSseesrHvleIdF.Q d XM_aEdfev gw\iQt\hz FICnufciPnRiGtYeq OAjlSgdeqbqrqai T1n.

Worksheet by Kuta Software LLC

29) 12a2 + 70a - 98

30) 24v2 + 52v - 112

31) 6 p2 + 19 p - 7

32) 24 p2 + 4 p - 8

Solve each equation by factoring. 33) 2n2 - 12n = 0

34) 3 p2 = -90 + 33 p

35) x2 = 6x

36) m2 + 49 = -14m

37) 4m2 - 224 = 4m

38) x2 = 7x

39) 8k2 - 4k = 7k2 + 21

40) b2 + 62 = 6 + 15b

Write the slope-intercept form of the equation of each line.

41)

y 4

42)

y 4

2

2

-5 -4 -3 -2 -1 1 2 3 4 5 x -2 -4

-5 -4 -3 -2 -1 1 2 3 4 5 x -2 -4

-3- ?V T2d0k1J9J `K[uHtgaO RScoJfYtpwiaArkeF FLnLlCo.k z GAnlblk rr]ilgKhBtAsw ]rkeSsCeZrrvkeadp.i i OMCaXdPeT RweictihO TIEncfEiHnCiCt_eI rAYldgfeXbtrXac a1h.

Worksheet by Kuta Software LLC

43)

y 4 2

-5 -4 -3 -2 -1 1 2 3 4 5 x -2 -4

44)

y 4 2

-5 -4 -3 -2 -1 1 2 3 4 5 x -2 -4

Write the slope-intercept form of the equation of each line given the slope and y-intercept.

8 45) Slope = , y-intercept = 4

3

46) Slope = 7, y-intercept = [ ]

Write the slope-intercept form of the equation of each line.

47) 5x + 4 y = -8

48) y = - 2(x - 5)

3

49) y + 3 = 2(x + 4)

50) x + y = -1

Write the slope-intercept form of the equation of the line through the given point with the given slope.

51) through: (1, 3), slope = 2

52) through: (-1, -5), slope = -3

Write the slope-intercept form of the equation of the line through the given points.

53) through: (4, -3) and (4, 5)

54) through: (-2, 1) and (0, 5)

Worksheet by Kuta Software LLC

-4- ?f H2r0m1G9T xKbuQtXar sS`oSfjtKwKazrNeY LLgLMCx.n p ^AalQl^ BrfizgEhVtAsD zrneEsTe_rXvOeLdP.D S JMUacdPeI uw\ietzhi UIInBfIihnriltAeW EAAlZgtesbjr^av F1j.

Write the point-slope form of the equation of the line through the given points.

55) through: (0, 2) and (2, -4)

56) through: (4, 4) and (0, -4)

Write the point-slope form of the equation of the line through the given point with the given slope.

57) through: (3, -2), slope = -2

58) through: (3, 0),

4 slope = -

3

Write the standard form of the equation of each line.

59) y + 4 = -(x - 6)

60) y + 1 = 5(x - 1)

61) y - 6 = - 3(x + 5)

5

62) y + 6 = 8(x + 1)

Sketch the graph of each line.

63) x-intercept = 4, y-intercept = 5

y 6 5 4 3 2 1

-6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6

1 2 3 4 5 6x

64) x-intercept = -2, y-intercept = 4

y 6 5 4 3 2 1

-6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6

1 2 3 4 5 6x

Worksheet by Kuta Software LLC

-5- ?B z2u0n1F9f RKbuhtXaV iStobfFtewcaarbea PLpLSCK.S h fAQlxlt wrgixggh[t_sL sr_emsVeProvLevdf.z U YMGandgeT awRixtjhF DIdnZfqibnvivtheY ZAal`gMeIbnrba[ T1Y.

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download