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Graph each equation using a table of values

By Bryan Cole,2014-04-02 04:29
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    Biotechnology, Health, and Public

    Administration at OHS

Summer Packet

    For

    Rising Algebra I

    Students

    Please complete and turn in this packet on the first day of school.

All of the problems in your summer packet must include the work and

    must be completed without the use of a calculator.

Solve each of the following fraction problems and leave your answer reduced to

    lowest terms.

    151. ?!36

    312. ?!84

    11103. (!3011

    314. 14?!52

    315. 14?!52

    516. 53?!63

    Simplify each of the following mathematical expressions.

7. 42 ? 2 • (12 + 9) =

     28. 14 =

    159. =

10. = 49

11. 5a + 4a 2a =

    27(93)?(12. = 24(112)?(

    2.4n13. = .8

14. (-4x)(.5y) =

    63xyxy15. = ;;;;

    5626rsmr16. = ;;;;

    3717. = 5k;;

    4214abc18. = 327ab

Evaluate each expression when a = 9, b = -3, and c = 7

19. 4a + 7 =

20. c(c + 3) =

21. 7b + 2a =

    a22. = 9b

    Find the Greatest Common Factor

23. 21 and 24

    3312ac15ab24. and

    Find the Least Common Multiple

25. 9 and 15

    28x26. 7x and

    Solve each equation using the correct form.

Examples:

    -2y + 9 = 7 2x + 3 = x + 10 3b + 2 = 6( 3 b ) -2y + 9 9 = 7 9 2x + 3 3 = x + 10 3 3b + 2 = 18 6b

     -2y = -2 2x = x + 7 3b + 2 + 6b = 18 6b + 6b

    -2y-2 2x x = x + 7 x 9b + 2 = 18 9b + 2 2 = 18 2 x = 7 -2-2

    9b = 16 y = 1

    16 b = 9

    27. 6x + 8 = 20 28. -21 5x = 64 29. 3y + 2y = 81 6 30. 25n 4 = 96 31. 18y 21 = 15y + 3 32.

    0.71 0.22n = 1.03 0.62n

     122a33. 34. ??!x3173(4)2(6)yy?!??35. 735

Solve each problem using a proportion or an equation.

36. What is 12.5% of 96 ? 37. 60 is 75% of what number ?

38. 6 is what percent of 5 ? 39. The regular price of a television

     is $500. If it’s on sale for 15% off,

     what’s the sale price ?

    Use the rules of exponents to evaluate each expression if x = 5, y = 10, z = -2 .

    2xz540. 41. 7xy2y

     0042. The temperature was 72 F and then it dropped 2 per hour for the next eight hours.

    Use the table below to graph the line and write the equation of the line.

     Table

    Time Temperature

    1 70

    2 68

    4 64

    6 60

    8 56

Equation

Temperature =

    For questions #43 - #49, write and solve an equation for each problem.

    43. A group of runners participated in a 10-kilometer race. One-eighth of the runners

    completed the race in 40 minutes or less. Seven-twelfths of the runners needed

    between 40 minutes and one hour to finish. The remaining 70 runners took one

    hour or longer to complete the race. How many runners participated in the race ?

    3544. A number n plus equals 1. What is the number?

    88

    45. A boat traveled at an average speed of 14.4 km/hr for 3.5 hours. How far did the

    boat travel? Use d = rt

46. The sum of a number and -34 is 17. What is the number? x

    47. A number is divided by 8 and the quotient is -12. What is the number?

    48. The perimeter of a triangle is 117 cm. Two sides are 31 cm and 48 cm. Find the third side.

49. Write and solve an equation to find the value of T.

    47

    (T - 6)T

    Solve each inequality and graph the solution on the number line.

    x?,?68126x50. 51.

The Pythagorean Theorem. Find the length of the missing side of the right triangle.

    c24ft

    7ft

52. What is the height of the kite in the 53. How long is the guide wire (c)?

    diagram?

Graph each equation using a table of values.

    1yx!?3yx!??3454. 55. 56. yx!?22

    Match each equation on the left with the property it illustrates on the right.

57. 4 + (9 + 6) = (4 + 9) + 6 A. Identity property of multiplication

    58. x + 12 = 12 + x B. Associative Property

    59. (3 + y ) + 0 = 3 + y C. Distributive Property

    60. = D. Identity property of addition x(1x

    5()55xyxy?!?61. E. Commutative Property

Express each number in standard form.

    328.210(1.510(62. 63.

Express each number in scientific notation.

64. 59,000 65. 0.00056

    y1Simplify and evaluate the variable expression for x2 and

    8516yx322(2)yx66. 24yx

    Questions 67 through 70, write and solve an equation for each problem.

    67. Three times the sum of a number and eight is four more than twice the sum of the number and six.

    68. Three mathematics students were in the finals of the state competition. Kim scored the least number of points. Claire scored five more points than Kim. Sam scored twice as many points as Kim. Together the three students scored 85 points. How many points did each student score?

    69. The length of one side a triangular lot is 6 m less than three times the length of the second side. The third side is 8 m longer than the first side. The perimeter of the lot is 80m. Find the length of all three sides.

    70. The students on the Plaid team sold cookies to raise money. Peanut butter cookies sold best. The students sold half as many chocolate chip cookies as peanut butter cookies. Twenty dozen cookies were sold all together. How many cookies of each type were sold?

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