Monroe Township Middle School

Monroe Township Middle School Monroe Township, New Jersey Middle School ALGEBRA I *PREPARATION PACKET* Middle School Algebra I is a fast-paced, rigorous course that will provide you with the fundamental tools of algebraic understanding that will support you in all future advanced mathematics courses. Since you will taking Middle School Algebra I in place of our Connected Mathematics Grade 7 or Grade 8 program, the Monroe Township Middle School Algebra I PREPARATION PACKET contains review material of the concepts, skills, and procedures that should be mastered BEFORE entering Algebra I in the fall. Essentially, this project provides an overview of pre-algebra topics. Below are some online resources that you might find useful for extra review: 1/ http://www.khanacademy.org/ http://www.classzone.com/books/algebra 1/index.cfm?state NJ This practice problem packet is the only formal review of the concepts, procedures, and skills that you will have before beginning your Middle School Algebra I course. Your teacher will expect you to have mastered all topics included here. This collection of problems will identify those concepts that you have mastered as well as those you will need to practice and review. You are expected to seek extra help immediately on those concepts with which you have not demonstrated proficiency. Be resourceful – use the online resources! You may need to reconsider your placement in the course if you are unable to demonstrate proficiency in these pre-algebra concepts – your Algebra I teacher will be introducing new material immediately in September. You will be responsible for handing in the completed packet with all work shown THE FIRST DAY OF SCHOOL. The problems here are very representative of the types of items you will need to have mastered BEFORE Algebra I so we strongly encourage that you include it in your summer festivities! Good luck and enjoy! J MATH REVIEW PACKET SCORE: of 50 Evaluate the expression for the given value(s) of the variable(s): **SHOW WORK!!!** 1. ( x - y ) 2 when x 3 and y -4 ANSWER: Page 1

2. a b 3 when a 3.4 and b 6 ANSWER: 2 1ö 21 æ 3. 2 ç d - when d 5ø 45 è ANSWER: 4. 10 - (- x)3 y 2 when x -1 and y -4 ANSWER: 5. (a - b)4 when a 3 and b - 2 3 ANSWER: TOTAL SCORE: of 5 6. The perimeter of the figure below is equal to 150 cm. What is the length of the longest side of the polygon? Use mathematics to explain how you determined your answer. Use words, symbols, or both in your explanation. **SHOW WORK!!!** Page 2

LONGEST SIDE: 7. A) The perimeter of a rectangle is the sum of the lengths of its four sides. Write an expression for the perimeter of the rectangle and then evaluate when x ½ foot. B) The area of a rectangle is the product of its length and width. Write an expression for the area of the rectangle and then evaluate when x ½ feet. **SHOW WORK!!** x 3x 1 PERIMETER EXPRESSION: When x ½ foot AREA EXPRESSION: When x ½ foot: Write the verbal phrase as an equation or an inequality. Use “x” for the variable. 8. “Twelve less than the product of eight and a number is fifty.” 9. “The product of one half and a number is greater than or equal to one hundred.” 10. “Two and five-ninths decreased by a number is thirty-one.” TOTAL SCORE: of 5 11. Evaluate the function y a. 1 x - 4 for each of the given domain values. *SHOW WORK!* 2 f (-2) Page 3

b. f (0) c. æ3ö f ç è2ø d. æ 2ö f ç- è 3ø **SHOW WORK!!!** 12. Solve for x: 9 9 x ³ 18 ANSWER: FOR #13-#14: As a salesperson, you are paid 50 per week plus 3 per sale. This week you want your pay to be at least 100. 13. Write the inequality and solve the inequality for the number of sales you need to make. 14. Graph your inequality from #13 on a number line. 15. For n(34 - n) 111, check whether n -3 is a solution. SOLUTION? (Yes or No) TOTAL SCORE: of 5 16. Write the numbers in increasing order: 4 34 9, - , - , -8.9, -9.01, -1 17 9 Page 4

INCREASING ORDER: Simplify each expression: **SHOW WORK!!!** 2 1 17. 9 3 24 ANSWER: 18. -10 - (-0.99) ANSWER: 19. -15 - -7.5 ANSWER: 20. (-3)(-5)(-4) ANSWER: 21. 7( x - 5) ANSWER: 22. 7 x - 5(1 - x) ANSWER: 23. 24. 8x 6 2 ANSWER: -40 ANSWER: 3 8 25. Evaluate -2x 2 for x -3 ANSWER: TOTAL SCORE: of 10 Solve each equation. ***SHOW WORK!!!*** Page 5

4 3 26. x 6 10 5 10 27. y 17 3 28. 5a 9 29. 2 x 12 3 x y a x 30. 3 x - 8 4 - 3 x x 31. 14 x 3 x - 40 11 x 32. 5 (24 - 36b) 10(2b 4) 6 33. x 4 3x 1 -2 3 34. 3.6 x 0.9 8.8 - 1.5 x b a x TOTAL SCORE: of 9 Page 6

Taylor is participating in a new fitness program in which he is required to report his weight at the end of each week. The table below shows some of his results. 35. . Graph the data from the table on the grid provided. Use a straight edge to sketch the trend line. Please label your axes properly. 36. Explain the relationship between the number of weeks in the Fitness program and his weight in pounds. 37. Using the information from the graph and table, predict Taylor’s starting weight (before he began the program). 38. Using the information from the graph and table, predict Taylor’s weight after 25 weeks in the fitness program. TOTAL SCORE: of 5 #39 - #44 are worth 2 points each (1 point for explanation/method & 1 point for answer). Page 7

! 39. Show HOW to convert to a decimal. " " 40. Show HOW to convert to a percent. # 41. Show HOW to convert 0.444 to a fraction. * 42. Show HOW to convert 83 % to a fraction. " 43. Show HOW to convert 0.8 to a percent. * 44. Show HOW to convert 4 % to a decimal. , TOTAL SCORE: of 12 points Page 8

Middle School ALGEBRA I *PREPARATION PACKET* Middle School Algebra I is a fast-paced, rigorous course that will provide you with the fundamental tools of algebraic understanding that will support you in all future advanced mathematics courses. Since you will taking Middle School Algebra I in place of our Connected Mathematics Grade 7 or Grade 8 program, the Monroe Township Middle School Algebra I PREPARATION PACKET contains