Honors Algebra II Summer Packet Dear Incoming Honors Algebra II students for 2016-2017, First I’d like to say how much I am looking forward to having each of you in class this fall! I know we are going to have a great time learning more about math together. To facilitate that, there are a number of things that you really need to be familiar with BEFORE school starts in the fall. The topics covered in this packet are among those most fundamental to basic Algebra. For most or all of you, it has been some time since you took Algebra I and some of these topics may require some review on your part. The skills included are absolutely essential to success in Algebra II and beyond. I will be collecting these packets to count as a homework assignment on the first Monday of school. Furthermore, there will be a test over this material during the first week of school, so come prepared. I hope you have a wonderful summer, and I am looking forward to getting to know you in the fall! Best, Mrs. Lieb Honors Algebra II Summer Packet Work all problems on a SEPARATE SHEET OF PAPER. Use graph paper where appropriate. Copy the original problem and show all your work. All students should complete all problems in this packet. If you have difficulty with any of the type of problems, it is recommended that you practice more problems of the same type. Use your school books or websites such as khanacademy.org for extra help as needed. Each topic is listed so it can be easily typed into a search engine if necessary. Simplifying Polynomial Expressions: Simplify these expressions by combining like terms 1. 2. 3. – Solving Equations: Solve to find the value of x 4. 5. 6. 7. Solve this equation for g 8. Exponent Rules: Simplify these exponents as much as possible 9. 10. 11. 12. 13. Binomial Multiplication Use FOIL to expand 14. 15. Factoring Fully factor the following expressions 16. 17. 18. 19. 20. Simplify Radicals: Simplify the following radicals as much as possible (no decimals!) 21. 22. 23. 24. Finding slope of a line Find the slope of the line that passes through these pairs of points 25. 26. Graphing lines on the coordinate plane Graph the following lines which are in slope intercept form 27. 28. Graph the following lines which are in standard form 29. 30. Graphing Inequalities Graph the inequalities on a number line 31. 32. Writing Equations of lines Write equations that represent the following lines 33. 34. 35. 36. Graphing Linear inequalities Graph (and shade) the following inequalities on a coordinate plane 37. 38. Solving systems by graphing Solve this system of equations by graphing the lines and determining the point of intersection 39. Solving systems by substitution Solve for x and y 40. Solving systems by elimination Solve for x and y 41. Set up and solve a system of equations 42. The senior classes at High School A and High School B planned separate trips to the indoor climbing gym. The senior class at High School A rented and filled 2 vans and 3 buses with 105 students. High school B rented and filled 14 vans and 6 buses with 270 students. All vans have the same capacity, as do all buses. How many students can a van carry? How many students can a bus carry? System of linear inequalities Graph the solution set of the following inequalities on a coordinate plane 43. Evaluating Functions 44. 45.
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