Dear Student, Please find attached your summer review packet for Algebra 1. The problems in this packet are taken from Prealgebra and they should be familiar to you. Please complete the assignment without the use of a calculator. If you need review, you can use the attached websites for additional information. Internet access is available at all public libraries. The packet is due the first day of class and will be graded. To receive full credit, you will need to show all work. This assignment will count toward your first quarter grade and your first quiz of the year will be on this material. Don’t wait until the last minute!! A good overall resource for math help is: www.purplemath.com If you have any questions please do not hesitate to contact the High School at: 860-844-3014 or you can email Mr. Coxon after August 23rd at: coxonl@granby.k12.ct.us. We are looking forward to seeing you on the first day of school! - The Math Team at GMHS Below is a list of topics covered in the packet with formulas and helpful websites: Integers (Adding, Subtracting, Multiplying, Dividing) http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=signed Rules of Divisibility http://www.mathgoodies.com/lessons/vol3/divisibility.html http://www.mathsisfun.com/divisibility-rules.html Rational Numbers (Ratios & Proportions, Fractions, Decimals, Percentage) http://regentsprep.org/Regents/math/rational/Lrat.htm http://www.purplemath.com/modules/ratio.htm http://www.purplemath.com/modules/percents.htm http://www.purplemath.com/modules/fraction.htm http://www.visualfractions.com/ http://www.mathsisfun.com/converting-decimals-percents.html http://www.mccc.edu/~kelld/CompFDP.htm Order of Operations http://www.mathgoodies.com/lessons/vol7/order_operations.html http://www.purplemath.com/modules/orderops.htm The Distributive Property http://www.purplemath.com/modules/numbprop.htm http://www.freemathhelp.com/distributive-property.html Translating Algebraic Expressions http://www.purplemath.com/modules/translat.htm http://www.mathgoodies.com/lessons/vol7/equations.html Evaluating Algebraic Expressions http://www.purplemath.com/modules/evaluate.htm http://regentsprep.org/Regents/math/orderop/evalPrac.htm Solving One-Step Equations and simple Two-Step Equations http://www.purplemath.com/modules/solvelin.htm http://regentsprep.org/Regents/math/solveq/LSolvEq.htm Graphing points (coordinates) on a Coordinate System (Cartesian Plane) http://mathforum.org/cgraph/cplane/pexample.html http://www.math.com/school/subject2/lessons/S2U4L1GL.html Algebra I Algebra I Summer Packet Name _ Date _ This assignment is due the first day of school. Pleases complete over the summer. Show your work. 1. Which set of numbers is in order from least to greatest? A) -s B) 0, -1, -3.5 C) 0, -1, -~, -3.5 i and 1. -3.5, -~, -1, 0 D) -3.5, -1, -~, 0 7 10 2. 2. Find the sum of 3. Find the difference between 4. Simplify:! 5. 7 2 S·Imp lif 1 y: 9". 4"3 • '7 5. 6. S·Imp lify: 1 . 6. 7. Simplify: -13 - 6 .~ 1 . 5" 3 4""7" 172 and 5 1 S· 3. 4. 7. Page 2 8. Simplify: -67 - (-34) 8. 9. -32 9. 10. Simplify: 11. Simplify: -24 -;-(-3) 11. 12. Solve for x: x - 38 = 84. 12. 13. Solve for x: x 14. Solve for x: 15. Solve for x: 3x = X -27 = 10. -64 -8 + ~= -25 -1~ +x = _152 13 13. 14. 15. Page 3 16. Simplify: -3(x - 4) 17. Simplify 15 18. Simplify 15 - 10 ~ 5 . 22 using the correct order of operations. 19. Simplify: 20. Simplify: (3 - 4) [(3 21. . a If a = 45, find the value of the equation b = 3 22. Evaluate: 23. Juan's Arcade has an entrance fee of $5.00, but his video games only cost 25¢ a piece. The equation M = 0.25v + 5 indicates the amount of money, M, that it costs to play v video games at Juan's. Using this equation, how much would it cost to play 15 video games? +7- 2(10 3a2 16. 2 . 14 using the correct order of operations. + 14) 4a 18. 19. 23 - 17. + 32 + 13)] +2 20. +5 when a = 2 21. 22. 23. Page 4 Solve. 24. 25. 32 40 w 25 A basketball player scored 192 points in 16 games. At that rate, how many points will she score in the remaining 6 games of the season? 24. 25.