Download CCGPS Coordinate Algebra Summer Packet (Rising 9th graders)

Name:________________________
CCGPS Coordinate Algebra Summer Packet (Rising 9th graders)
Numbers and Operations:
Round the following numbers to the thousandth place.
1. 16,579.1256 ________________
2. 34. 876 _______________
3. 1,456.1289123 _______________
4. - 235.4575_______________
Round the following to the tenth place.
5. 45.235 _____________________
6. 100.033 _________________
7. 12,457.350__________________
8. 5.159___________________
Round to the hundredth place.
9. -436.45 __________________
10. 1,289.444_______________
Simplify the following:
11. (-2) - (-4) ÷ (-2) + 6  0 =_________
12. (-3) ÷(-1) + 5 -12 = _________
13. – (10+3)3 – (2 – 8) ÷ 3  = _________ 14. 7(2 – 5)3 + (7 – 1)2 – 14 ÷ 2 = _________
Convert from standard form to scientific notation.
15. What is 89,325,692 in scientific notation?
16. Annie looks in a microscope at a tiny grain of sand. The sand is 0.000038 centimeters in diameter.
How is the diameter expressed in scientific notation?
17. Robert performed an experiment to find the speed of light in water. He calculated the speed to be
220,000 kilometers per second. Write his speed in scientific notation.
Convert from scientific notation to standard form.
18. What is 2.67 × 105 in standard form?
19. What is 3 × 107 in standard form?
Algebra:
20. Write the following words as algebraic expressions.
21. two less than a number
___________________
22. a number plus two
___________________
23. five times a number
___________________
24. a number subtracted from 12
___________________
25. one-half the cube of a number ___________________
26. five increased by three times a number _____________
27. 20 less than eight times a number _________________
Solve the equation for x.
28. 3x2 = 48
29. 6x – 7 = 47
30. 3x – 12 = – 27
31. 3(x – 3) = 5x + 21
32. 4 (x + 2) – 2(x – 3) = 20
33. 6x + 3 = 45
34. Suppose the equation R = $50 + ($100)(x – 20) represents a company’s revenue (R) for each item (x)
that is sold. What is the minimum number of items that the company must sell in order for its revenue to
be at least $5500?
35. Abby will receive a cash prize when she earns 300 bonus points at the video shop. Abby receives 5
bonus points every time she rents a recent release video at the video store, plus a 60-point bonus for
becoming a member. The total number of bonus points, B is given by B = 5n + 60, where n is the number
of videos being rented. How many videos must Abby rent to receive her cash prize?
36. Brian earns $5 per hour babysitting. He makes a graph and plots what he earns for different numbers of
hours. He places the number of hours he works on the x-axis and his earnings on the y-axis. What is the
slope of the line that Brian graphs?
37. Which equation would be parallel to the graphed line?
A. y = 1.5x + 8
B. y = - 2x-4
C. y = 2x+6
D.
38. What is the equation of this line?
A. y = 2x + 2
B. y = 2x
C. y = 2
D. x = 2
39. Which of the following inequalities best describes this graph?
A. y > - 3x+3
B. y < 3x+3
C. y > - x+3
D. y < x+3
40. Which equation is a linear function?
A. x = 6
B. y = x – (-6)
C. y² = - 2x+10
D. y = x² + 7
41. Which of the following sequences is not arithmetic?
A. 1,3,5,7,...
B. 2,3,5,8,…
C. 3,-1,-5,-9,…
D. 5,6,7,8,…
42. Which equation can be used to find the nth term in the sequence
4, 8, 12, 16,…?
A. an = n + 4
B. an = n – 4
C. an = 3n – 1
D. an = 4n
43. What is the slope of the graph of the linear function given by this pattern?
3, 1, -1, -3, …
A. 3
B. -3
C. 2
D. -2
44. If you graph the line x = -6, what type of slope would it have?
A. positive
B. negative
C. zero
D. undefined
45. What is the slope of a line that is perpendicular to a line with equation of y=-5x+1?
A. -5
B5
C.
D.
46. A cell phone company charges $25 a month plus $0.10 per minute for phone usage. If this information
was place in a linear equation, what would represent the slope?
A. 0.10
B. -0.10
C. 25
D. -25
47. What is the equation of the line in slope-intercept form if the line passes through (1, 6) and (-1, -2)?
A. y = 2x+4
B. y = 4x + 2
C. y = 4x -2
D. y = -3x+6
Geometry:
48. A ladder is leaning against a wall. The bottom of the ladder is 5 feet from the wall and the ladder is 13
feet long. What is the distance from the ground to the top of the ladder?
49. What is the length of the third side of this right triangle?
50. Which of these sets of numbers cannot be the lengths of the sides of a right triangle?
A.
B.
C.
D.
15, 20, 25
1.5, 2, 2.5
6, 10, 16
6, 8, 10
51. Two legs of a right triangle measure 6 inches and 8 inches. What is the length of the third side of the
triangle?
52. If the distance from first base to second base is 12 feet and the distance from second base to third base
is also 12 feet, which is the best estimate of the distance from first base to third base?
53. The size of a television screen is described by the length of its diagonal. What size is a television screen
that is 22 inches wide and 16 inches high? Round your answer to the nearest inch.
54. Triangle ABC is translated 2 units up and 2 units left to create its image, Triangle A'B'C', as shown in
the coordinate graph above. Which of the following is not a true statement about the transformation?
A.
B.
C.
D.
Line segment AB and line segment A'B' have the same length.
∠C and ∠C' have the same measure.
Line segment BC is parallel to line segment B'A'.
The perimeter of triangle ABC equals the perimeter of triangle A'B'C'.
55. Kenny draws rectangle JKLM so that its vertices are at points J (−8, 7), K (−6, 7), L (−6, 1), and
M (−8,1), as shown on the coordinate graph. He rotates rectangle JKLM 90° clockwise about point L to
form rectangle J'K'L'M'. What are the coordinates of point J'?
A.
B.
C.
D.
(−12, 3)
(−8, −7)
(−4, −5)
(0, 3)
56. The point C (4, −3) is first reflected over the x-axis and then reflected over the y-axis. What are the
coordinates of the final point?
A.
B.
C.
D.
(4, 3)
(−4, 3)
(−4, −3)
(4, −3)
57. Which sequence of transformations was used to get from Figure 1 to Figure 2 to Figure 3?
A.
B.
C.
D.
translation, reflection
translation, dilation
reflection, rotation
rotation, dilation
58. Triangle 1 is dilated to create Triangle 2 in the graph above. Which statement about the dilation is
true?
A.
B.
C.
D.
Triangle 1 is similar to Triangle 2.
Triangle 1 is congruent to Triangle 2.
The sum of the angles in Triangle 2 is twice the sum of the angles in Triangle 1.
Triangle 2 is larger than Triangle 1 by a scale factor of 3.
Statistics:
58. A restaurant offers dinner specials consisting of one main course and one dessert from the menu. If
there are 8 main courses and 4 desserts listed on the menu, how many different dinner specials are
possible?
a. How many outcomes are there for rolling a number cube with faces numbered 1 through 6 and
tossing a dime?
b. Martina has a box containing 12 blue tiles, 2 green tiles, and 6 red tiles. If she reaches into the
box without looking and draws out a tile, what is the probability that the tile will be red?
c. How many outcomes are there for tossing a penny, a nickel, a dime and a quarter?
59. Use the following data for #a-c:
Number of Sick Days of Employees: 4, 5, 3, 1, 0, 3, 2
a. Find the mean. What does this represent?
b. Find the median. What does this represent?
c. Find the mode. What does this represent?