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Algebra 1 Prerequisite Packet Updated 6/2015 Paint Branch High School Math Department The problems in this packet are designed to help you review topics from previous math courses that are important to your success in Algebra 1. It is important that you take time during summer break to review the math concepts you learned this past school year. In order to ensure that you are appropriately placed in, and prepared for Algebra 1, you may be required to take a course pre-assessment when you return to school next year. It is YOUR responsibility to prepare for the course pre-assessment! The specific math concepts that will be assessed are listed on the front page of this summer packet. To prepare for the course pre-assessment, you are encouraged to complete this summer math packet. Please note, this summer math packet will not be collected or graded. Instead, the course pre-assessment will be used to measure your knowledge of the prerequisite skills. If you have any questions, please feel free to email the resource teacher, [email protected] Concepts To Be Assessed on the Algebra 1 Course Pre-assessment. Students should be able to: Solve multi-step equations. Solve one and two-step inequalities. Graph linear equations. Plot points on a coordinate plane. Substitute values into an equation. Recognize and continue patterns. Write expressions and equations given real-life examples. Algebra 1 Prerequisite Packet Updated 6/2015 Paint Branch High School Math Department Name _____________________________________ Date ___________________ Pd _______ Order of Operations Use order of operations to determine each answer. Complete these problems WITHOUT using a calculator. 1. 4 16 8 0 5 __________ 2. 83 4 2 8 5 3 __________ 3. 8 2 13 4 5 __________ 2 Insert parentheses to make the following equation true. 4. 8 12 4 5 1 Distributive Property and Combining Like Terms Simplify each expression by using the distributive property and/or combining like terms. 6. 8a 7b 2a 4b 5b ________________ 5. 4n 7n ________________ 7. 2x 3 _________________________ 9. 8. 4 x _________________________ 2 3x 9 ___________________ 3 10. 52x 4 x 7 ___________________ Algebra 1 Prerequisite Packet Updated 6/2015 Paint Branch High School Math Department One Step Equations Use inverse operations to solve each equation. 11. x 22 10 14. x 27 3 12. 15 x 45 15. 2 x4 7 18. x 42 5 13. 3x 48 16. x 5 24 12 Two Step Equations Solve each equation. 17. 2x 7 15 19. 8 5x 2 Algebra 1 Prerequisite Packet Updated 6/2015 Paint Branch High School Math Department Multi Step Equations Solve each equation. 20. 9x 8 3x 10 21. 5x 9 12 2 Evaluating Expressions Evaluate each expression given that x 2 , y 3 and z 4 . 22. x 6 23. y2 24. 5z 3 Algebra 1 Prerequisite Packet Updated 6/2015 Paint Branch High School Math Department Graphing on the Coordinate Plane Plot each of the following points on the grid to the left. Use the letter to label each point. y M 25. A 3, 0 26. B 1, 5 L 27. C 6, 2 x Write the coordinates of the each point shown on the graph to the left. 28. L ________________ 29. M ________________ 30. N ________________ Graphing Equations Graph each equation. 31. y 2 x 1 3 32. y 4 x 5 y y x x Algebra 1 Prerequisite Packet Updated 6/2015 Paint Branch High School Math Department Inequalities Solve and graph each inequality. 33. x 4 3 34. 2x 6 Patterns and Tables of Values Write the next three terms in each pattern. 35. 5, 12, 19, 26 , … 36 _________ , _________ , _________ 3x + 4, 3x + 1, 3x – 2, … __________ , __________ , _________ 37. , , , _________________ , _________________ , ________________ Complete each table of values. 38. 39. x y x y 0 180 1 10 2 174 2 4 168 3 6 4 8 5 10 6 12 7 32 54 76