Campbell High School Rising Freshman
Summer Math Packet -Assessment
Dear student, please complete this packet over the summer... It will be collected and graded by your 9th grade teacher at Campbell High. Enjoy your summer!
1. A bakery sells chocolate, vanilla, and strawberry cakes. All of the cakes are filled with either fruit or cream AND topped with either glaze or powdered sugar. How many different types of cakes does the bakery sell? (create a tree diagram if that will help you)
2. The Brown County School System is opening an all girls academy next school year. The girls will have the opportunity to wear various clothing items as part of their uniform. They can pick from 2 tops, 3 pants, and 2 shoes. If the girls choose 1 top, 1 pant, and 1 pair of shoes, how many different ways can they wear their uniform?
3. Justin needs an even number on his next two rolls using the number cube to win the game he is playing. What is the probability that Justin will be a winner after his next two rolls?
4. A box contains 6 red marbles, 4 blue marbles, and 10 yellow marbles. What is the probability that a yellow marble is selected and replaced, and then a red marble is selected? Find P(yellow, then red)
5. If A and B are independent events such that P(A)= and P(B)=, what is P(A and B)?
6. If A and B are independent events such that P(A)=0.35 and P(B)=0.40, what is P(A or B)?
7. Lynnwood High School requires all staff members to have a 4-character computer password that contains 1 letter followed by 3 digits. Digits are 0-9 and they can repeat. Find the number of possible passwords.
8. Estimate the value of±
9. Simplify:
10. Simplify:
11. What is when n=1?
12. Add:
13. Simplify the following radicals? Tell if the answer is rational or irrational.
A.
B.
C.
D.
14. Between what two integers is ?
15. Solve:
16. Simplify: 5-2(53)
17. Solve for k. 3(k - 2) = 4k + 6
18. Solve for x:
19. Solve. 2x - 2 = 4x + 6.
20. Solve 3x + 7 = 8x - 18.
21. What is a solution of the inequality ?
22. What is the solution of ?
23. Jeff and Donnie join different gyms at the same time. Jeff pays a $40 enrollment fee and $16 per month. Donnie’s gym has a free enrollment fee and she pays $18 per month. After how many months will Jeff and Donnie have paid the same amount for their gym membership?
Unit 4: Function and Relations
24. State if each of the following is a function or is not a function.
a.) b.) c.) d.)
25. Based on the terms given, state whether or not the sequence is arithmetic. If it is, identify the common difference, d:
-3,0,3,6,9,…
26. Given the first term of the sequence below, use the recursive formula given to find the next four terms of the sequence:
27. A cab fare is $3.00 base fee and $0.50 per mile. Find the cost of driving 5 miles. Is this relation a function?
28. Write a linear function equation?
29. You can burn 3 calories a minute from walking. Write a set to represent the range of calories burned when walking between 1 and 15 minutes?
30. What is the 25th term of the following arithmetic sequence?
6, 13, 20, 27, …
31. Write an equation that can be used to find the nth term in the sequence 3, 8, 13,
18,…?
32. Write an inequality to represent the graph below?
33. Given the points (4, -6) and (-1, 9), find the equation of the line in slope intercept form.
34. Stephen makes $10 per hour working at QT (q represents the hours worked at QT) and $8 per hour babysitting (b represents the hours worked babysitting). He wants to save at least $224 to spend at the games store. Write an inequality that represents the hours he needs to work to reach his goal.
35. Determine the equation of the line in slope-intercept form given the table:
x / y-1 / -2
0 / 2
1 / 6
36. A limo company charges a base rate of $35 and $2 per mile. Write an equation to show the total cost of a ride in the limo?
37. Write an equation to represent the graph below?
38. Describe the graph of the solution set of y > -2x – 2?
39. Janie wants to make a scatter plot comparing the life expectancy (vertical axis) and the number of cigarettes smoked (horizontal axis). What type of line of best fit should Janie expect her scatter plot to show?
40. What is the value of w?
41. What type of angle relationship is shown between angle 1 and angle 2?
42. Using the figure in #41, if m=2x and its supplementary angle measure is x, what is the m?
43. The figure below shows the distances between parallel roads . Find the approximate distance of x.
44. A triangle has coordinates of (0,0), (0,3) and (4,0). Prove that it is a right triangle.
45. Use the graph below.
Write an equation that is parallel to the line?
46. Solve the system of equations:
x + y = 9
y = 13 – 2x
47. You are walking along the path y = 6x + 8. Your friend Rick is walking along y – 12 = 8x. At what point do your paths cross?
48. Write an equation for each job and solve the system. After how many years is the salary equal?
Job / Starting Salary / Yearly IncreaseA / $20,000 / $1000
B / $35,000 / $250
49. Solve each ofthe following systems of equations.
A. x+y=6 B. x+y=6 C. x+2y=5 D. y=-3x
x-y=2 3x+3y=3 x-5=-2y 6y=x-38
50. Ms. Lewis bought dry erase boards and markers for her class. When she bought 12 dry erase boards and 20 markers, the cost was $44. When she bought 5 dry erase boards and 30 markers, the cost was $40. What is the price of 1 marker?
51. List four points that are solutions to the system of linear inequalities?
y < -x
y < x
52. Write a system of inequalities to represent the graph below?