Name _________________________________________ Date __________ Period ____ Algebra Easter Assignment Assignment – For Part 1, you must show all work number your work and keep in order. Part 2, answer questions on looseleaf and write answers in space below. NO WORK = NO CREDIT Staple your work together in order, with this page being the first. If it the work is not stapled (with a staple) you will lose 5 points. Fill in your answers below. This assignment will be graded as a quiz!! The assignment is due Monday April 12th before 8:30am. You must hand this sheet of paper with your work attached in the designated “Ms. Hahl” box outside the Math Office (E114). Absolutely no late assignments will be accepted. Part 1 - Show work on loose leaf and write answers in space below 1. _____ 2._____ 3. _____ 4. _____ 5. _____ 6. _____ 7. _____ 8. _____ 9. _____ 10. _____ 11. _____ 12. _____ 13. _____ 14. _____ 15. _____ 16. _____ 17. _____ 18. _____ 19. _____ 20. _____ 21. _____ 22. _____ 23. _____ 24. _____ Part 2. - show work on loose leaf and write answers below 1. ______________ 3. (b) 2. _________________ 3. (a) 3. (c) Part 3 - On loose leaf and graph paper – do the work as it was taught, show all steps Part 4- show work on loose leaf and answers below 1.______________ 2. ________________ 3._______________ 4.______________ 5. ________________ 6._______________ 7.______________ 8. ________________ 9._______________ 10.______________ 11. ________________ 12._______________ 13.______________ 14. ________________ 15._______________ 16.______________ 17. ________________ 18._______________ 19.______________ 20. ________________ 21._______________ 22.______________ 23. ________________ 24._______________ 25.______________ 26. ________________ 27.______________ 28. ________________ 29._______________ REMINDER: STAPLE THIS SHEET TO THE FRONT OF ALL YOUR WORK Easter Assignment -1- Name ___________________________________________ (Do not hand in the questions) 1) If m + 1 < n, then a) n > m b) m > n 2) If 16(24 + y) = 1600, then y = a) 66 b) 76 3) If a = 2, b = 6 and c = 4, then a) 4 Easter Break Assignment c) m = n d) n + 1 < m c) 1200 d) 1216 c) 40 d) 0.04 c) 228% d) 43.75% 4a b 2 = bc b) 0.4 4) Ninety is what percent of 200? a) 4480% b) 45% 5) Sam has 8 coins worth $1.40. Some of the coins are nickels and some are quarters. How many of each coin does Sam have? a) 6 quarters and 2 nickels b) 5 quarters and 3 nickels c) 4 quarters and 4 nickels d) 3 quarters and 5 nickels 6) Which equation has a graph that is a horizontal line? a) x - 7 = 0 b) x = y c) y = 4 7) When 2x - 3y = 6 is solved for y, which equation results? 2 2 a) y = x+2 b) y = x - 2 c) y = -2x + 2 3 3 8) What is the slope of a line passing through (2, -8) and (4, 1)? 2 6 7 a) b) c) 9 7 6 d) x = y + 0 d) y = 2x - 2 d) 9 2 9) Which of the following equations has a graph that is parallel to the graph of 4x - 2y = 7? a) 2y = 4x + 7 b) -2y = 4x + 2 c) 7 - 4x = 2y d) 4x + 2y = 2 10) Which is a solution? |4x - 3| = 21 a) -6 b) 6 c) 4.5 d) -2 11) Which point is a solution to the inequality a) (3, 1) b) (-1, -1) y > 2x - 4 c) (0, -5) d) (-5, 2) 12) Solve: 9y + 3x = 3 4y - 3x = 23 a) (5, -2) c) (6, 3) 13) Evaluate: (1.7 x 10-4)(2.4 x 106) a) 4.1 x 102 b) 4.08 x 102 Easter Assignment -2- c) 4.08 x 1010 b) (1, 5) c) (-5, 2) d) 4.1 x 10-2 14) Find the difference (3x3 - 5x2 + 7x + 5) - (x3 + 2x2 + 3x - 4) a) 2x3 + 7x2 + 4x + 9 b) 2x3 - 7x2 + 4x + 9 3 2 c) 4x + 7x + 4x + 9 d) 4x3 - 7x2 + 4x + 9 15) Find the product of (6x + 5)(3x - 11) a) 18x2 - 55 b) 18x2 - 51x - 55 c) 3x2 - 51x - 55 d) 9x2 + 8x + 16 16) Which of the following is the greatest common factor of 12x5 - 18x2? a) 2x2 b) 2x5 c) 6x2 d) 6x5 17) Factor: x2 - 8x - 20 a) (x + 5)(x - 4) b) (x - 2)(x - 10) c) (x - 5)(x + 4) d) (x + 2)(x - 10) a 4 b 1 c 5 c5 d) 4 a b 18) Write the expression so that it contains only positive exponents a) a4bc5 b) - 9 16 19) Simplify: 20) Find (6x3 + 3x2 - 9x) a) 2x2 + 3x - 3 21) Simplify: c5 a 4b a) c) 5 6 b) a 4 b1 c5 3 4 c) 3 8 d) 3 16 3x b) -2x2 + 3x - 3 45x 3 y 2 3 y 15x 22) Simplify: 23 16 10 2 c) x2 + x - 3 d) 2x2 + x - 3 a) 3x2 y b) x2y c) 3xy d) -3x2y a) 130 b) 104 c) 133 d) 69 23) Solve for v in the equation C = 9u2v a) C - 9u2 b) 9u2 - C c) C 9u 2 d) 9u 2 C 24) The daily cost of renting a car is $20 plus $0.30 per mile traveled. If Kelly paid $89.60 for a day's rental, how many miles did she travel? a) 23 b) 299 c) 365 d) 232 Part II - work on looseleaf and rewrite answers on answer sheet 1) Find three consecutive odd integers whose sum is 33. 2) The area of a rectangle is 112cm2. The width is represented by (x - 2) and the length by (x + 7). Find the value of x, then find the perimeter. 3) Graph the following inequalities on number lines a) (15x - 8) - (19x + 8) < -14 b) 20 - 3x > 26 6x - 11 > 13 c) -13 < 3x - 13 < -1 Easter Assignment -3- Part III - Do all work on looseleaf and graph paper – one graph on each side of the graph paper with the corresponding work next to the graph 1) Solve the following system of linear equations algebraically and check. -2y + x = -6 5y - 3x = 11 2) Solve the following system of linear equations graphically and check y+x=4 y = -2x + 5 3) On a properly labeled set of axes, graph -2x + y > 8 (graph, test 2 points, shade) 4) Solve the system of inequalities graphically: y + 6 > -1(x - 6) 12x - 12y < 12 5) Solve the following Quadratic-Linear system graphically. y = -x2 - 2x + 8 y=x+4 (remember for the parabola you must find the min/max, AOS, vertex, roots and for the line you must find m and b) Part IV - #1-18 Factor COMPLETELY #19-29 Solve by factoring 1) x2 – 5x – 84 4) x2 – 21x + 90 7) 8x2 – 24x – 320 10) 225x2 – 36 13) 18y2 + 21y + 5 16) 12s2 – 8s - 20 2) x2 + 2x – 80 5) x2 – 121 8) x9 + 13x8 + 36x7 11) 81x6 – 144x4 14) 15f2 – 46f + 3 17) 24d2 – 4d - 42 19) x2 – 4x = 45 22) 6x2 + 144 = 60x 25) 3x2 + 5x – 11 = 6x2 - 9x – 59 27) 10x2 = 20x + 350 20) x2 + 64 = -16x 21) 77 – 4x = x2 3 2 23) 3x + 30x + 63x = 0 24) x2 + 10x = 96 2 2 26) 3x – 11x - 33 = 7x – 3x – 33 28) x2 + 10x = 96 29) 4x6 + 20x5 = 144x4 Easter Assignment -4- 3) x2 + 15x + 54 6) 9x2 – 196 9) 9x7 + 9x6 – 504x5 12) 196x15 – 49x13 15) 45k2 + 21k - 24 18) 21w2 + 93w + 36