# Summer Packet for Algebra II College Prep & General Summer Packet for Algebra II College Prep & General

Name:________________________________________________School Year 2011 – 2012 Teacher: _______________________Summer Packet forAlgebra II College Prep & GeneralPlease complete this review packet for theFIRST DAY OF CLASS.You will receive a grade on the packet based on the following criteria:-All work is shown completely- Effort-Completion of all problems – If you do not remember howto do something, look it up in yournotes or online.You are responsible for ALL the concepts present in the packet. A quizwill be given on the material within the first week of classes.Simplify.

1.2 33 1+ 2. −3 45 23.3 15 7• 4. ÷7 66 12Find the slope of the following lines.5. The line that goes through (9, 8), (1, 6)6. The line that goes through (-2 , 3) and ( -3, -5)Graph the following equations.− 57. y = x + 58. y = 439. 2x - 4y = 8 10. goes through (-2, -3) and m = 2

Write the equation of the line described in slope-intercept form.11. Contains (3 , 7) and has a slope of 1112. Contains ( 0, -4 ) and has a slope of 3213. Contains (5 , 8) and is parallel to the graph of y = 7x – 6

14. Contains ( -2, 4) and is perpendicular to the graph of y = 2 x + 115. Is horizontal and contains ( -4, 12)16. Is vertical and contains ( -9, -1)Solve. Graph #19-22 on a number line.17. x + 3 = 1018. 10 x + 5 = 15019. − 3 < x −1≤ 320. − 2 x ≥ 4 or 7x> 4921. 2x + 6 ≤ 1222. x − 5 > 1

Write and solve an equation to answer #23 – 24.23. The width of a rectangle is 2 cm less than the length. The perimeter is 24 cm. Find thelength of the rectangle in cm.24. The sum of three consecutive integers is 174. What are the three numbers?Solve each proportion.25.5 + 2= x 26.8 123 x + 7= x4 6Simplify with only positive exponents.

27.2 2 • 25 3• 28.0− 3x29. 5 − 3 −(10 x )(2 y)( x ) ( y2)30.( − 4 x )5 2 2x −31.15x y z3x y z7 −6 2510 10 06(5x)32.205x233.⎛ x⎜⎝2x1012⎞⎟⎠−234.⎛ − 3xy⎜2 3⎝ x y z24⎞⎟⎠2Simplify. Write your answer in standard form.224 2 3 235. ( x + x + 1) + (5x− 8x+ 20)36. ( − 5x+ x ) − ( x + 8x− x)_______________________________________________________________

MODEL EXAMPLE for #38 - 39: Given: 5x 2 + 3xName using degree: QuadraticName using number of terms: Binomial___________________________________________________________________Use the following to answer questions #37 – 39:3 23 2Given: 2x− 4x+ 2x+ 9 − x − x − 5x+ 337. Write the polynomial in standard form.38. State name of polynomial using degree.39. State name of polynomial using number of terms.Simplify each product. Write in standard form.40.+ − 41. ( 2x+ 5)(3x− 2)24 x(3x 7x9)42. (3x− 4)(5x+ 6)43.2( x − 3)244. (2x+ 3)(6x− 4x+ 1)Factor.3 245. 10x + 25x+ 15x+ 546.2 3 2 32x z + 4xz+ 10x2247. x + 7x + 1248. x − 8x − 20

249. x − 6x + 850. 2x2 − x − 6251. x + 2x −1552. 4x2 + 16x+ 1553. Solve each system by substitution.a.5x+ 2y= 1y = −x+ 4b.x + y = 851x+ 8y= 19354. Solve each system by elimination.a.2x− y = 0− 6x+ y = −8b.9x− 7y= 510x+ 3y= −16

55. Write a system of equations for the situation and solve: Two numbers add up to 89and their difference is 21. What are the two numbers?56. Evaluate the given expression when x = −4a. 4x – 5 b. 3x2 − 5x+ 12Simplify the following expressions.3 58. − ( 10 − 2x) − 3x+ 557. − ( 1− x)Evaluate the following expressions.59. 5 − 7 ∗9÷ 3 − 22 ∗360.22∗3 −10÷ 2∗4 + 8 ÷ ( −2)3

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