Cecil County Algebra L to J

Questions

1 Use the rule to complete the function table. y = 12x -6 xy

2 Find the pattern and determine the next three numbers in the sequence. 1, 3, 9, 27… Pattern- multiply by 3 Next three- 81, 243, 729

3 Write an expression that shows what have to do with x to get y. y=2x-4 xy

4 The cost for a trip is $50 plus $8.75 for each person that goes on the trip. Write an algebraic expression that represents this situation. 8.75p + 50

5- No Calculator What is x - 5 when x = 12? 4

6-No Calculator ( ) + 272

7 Use the algebra tiles below to write an algebraic expression. 2x + 3 XX 11 1

8 Write an equation to model this situation. You do not have to solve. David has $75 in his savings account. He adds $10.38 a week to his account. How many weeks will it take him to have $185 in his account? 10.38w + 75 = 185

9 There are at least 25 students in each class. If s represents the number of students, write an inequality that represents this situation. S > 25 or 25 < S

10- No Calculator Solve for x. Show your work. 2x + 52 = 102 X=25

11- No Calculator Solve the inequality. 40x - 68 ≥ 132 x ≥ 5

12- No Calculator Which graph represents the inequality? x ≤ -2 Answer: B A B C

13 Write the inequality represented by the number line. x > 23 23

14 Use the formula d = rt to solve for t, given that r = 5 mi/hr and d = 45 miles. 9 hours

15 Label each point on the number line. Point A: -1.3 Point B: - Point C: B A C 03-3

16 Give the coordinates of the following points: B C A D A (-3,4) B (2,-5) C (0,1) D (5,0)

17 Sketch a coordinate plane, then graph y = x

18 Determine whether the table of values is increasing, decreasing, or there is no change. increasing XY

19 Use the table to determine the rate of change. +3 XY

20 Use the graph to determine the rate of change. +2

21 Which angle is vertical to angle 1? Angle

22 Which angle is not adjacent to angle 3? Angle

23 The angles below are what type of angles? Supplementary Angles

24 The angles below are what type of angles? Complementary Angles

25 Angles 1 and 8 are a)Alternate Interior Angles b)Alternate Exterior Angles c)Corresponding Angles B) Alternate Exterior Angles

26 In the triangle below side AB is called the what? A C B Hypotenuse

27 83 degrees Find the missing angle of the quadrilateral. Show or explain how you found your answer. x

28 1 and 2 are complementary. If m<1 = 68 o, find m<2. Justify your answer. 22 degrees because 68 o + 22 o = 90 o and complementary angles are angles that when added together create a 90 o right angle

29 Use the triangle below to find the length of the hypotenuse. x = 5 in 3 in 4 in x in

30 What is the first step in constructing a congruent line segment? a.Measure the line segment b.Draw a ray that is longer than the original line segment c.Line up the protractor on the line segment B

31 Which circle was constructed with the radius AB? ___ A B Circle Y Circle X Circle Y

32 How can you verify that you have correctly constructed a perpendicular bisector? a)Measure the angles to make sure they are both 90 degrees b)Measure the line segments to make sure they are equal c)Both of the above B

33 If you bisect a 42° angle, what would be the measure of each angle? Each angle would measure 21°.

34.  ABC  LJK Find the measure of. CB A K J L 3cm 4cm 5cm 3 cm

35 Solve 4x-(x+3)=2x+9 X=12

36 Write a simplified expression for the perimeter of the triangle below. 2x 2 +2x+3 X2X2 X x+2

37 40 hours Joe can work at company A for $8 an hour plus a signing bonus of $100 or he can work at company B for $8.50 an hour and a signing bonus of $80. How many hours does he have to work to make the same amount at both companies?

38 Horizontal: y=-3 Vertical: x = 6 Write equations of the horizontal and vertical lines that pass through the point (6, -3).

39 Below is the list of prices for a rafting trip. Find the rate of change. $50 per person # of people Cost ($)

40 Is the point (4,3) a solution to the equation 3x+y=16? No

41 Find the area of the parallelogram. 13,345 cm 2 85 cm 93 cm 157 cm

42 Find the area of the trapezoid below. 120 in 2 8 in 19 in 11 in

43 Mary has a gift that she wants to send to her friend. She puts the gift in a box that is a rectangular prism with dimensions 35 in. by 20 in. by 15 in. How much wrapping paper will she need to wrap the gift? 3,050 in 3

44 What is the domain of the function below? 0,3,6, and 9 xy

45 Find the volume of the triangular prism. 180 in 3 6in 8in 5 in 12 in

46 ∆A ~ ∆B. Find the perimeter of ∆B. 30 in 12 in 2 in 4 in A B

47 On a map 1 cm = 35 miles. If two cities on the map are 3.2 cm apart, what is the actual distance between the two cities? 112 miles

48 Find the axis of symmetry for the graph of y=-x 2 -2x+3. X=-1

49 Factor y 2 +5y-36 (y-4)(y+9)

50 Factor y 2 +3y-40 (y-5)(y+8)

51 Create a back-to-back stem-and-leaf plot to display the following data. Heights of Girls (in inches) – 58, 44, 53, 56, 48, 53, 52, 61, 63, 55 Heights of Boys (in inches) - 56, 60, 59, 54, 65, 67, 73, 68, 57, 60 Height of Girls (in) Height of Boys (in)

52 Regal Cinemas has five theaters. The table below shows the percent of the total sale each theater had one evening. Choose the graph that best represents the data in the table. A Ticket Sales for June 1 TheaterPercent of Total Sales 115% 217% 312% 425% 531% A B CD

53 Jerry looked at the graph below and decided that the temperature has increased from September to December. What is wrong with his statement? He is incorrect because the scale on the y-axis is decreasing as it is going up. The temperature is actually decreasing from September to December. Degrees Fahrenheit Sept. Oct. Nov. Dec Months Temps in Cecil County, MD for Fall 2005

54 Terry wants to see how her test scores in math have changed over the course of the year. What data display would best show this? Explain why. Line graph Shows change over time

55 If you have 3 shirts, 2 pairs of pants, and 4 pairs of shoes, how many different outfits can you make? 24 outfits

56 On a game you spin the wheel at the right. Find the probability that you get $200 on your first spin and then go bankrupt on your second spin. 1/32

57 Solve the equation (n+3)(n-5)=0 -3 and 5

58 Evaluate the expression. Write your answer in scientific notation. (8.5 x )(3.1 x ) x 10 6

59 The theoretical probability of pulling a red marble from a bag is. Laura pulls a marble out of the bag 15 times, and gets red 8 times. Does her result match the theoretical probability? If not, explain what she should have pulled from the bag. No, Laura pulled out red more times than she should have. She should have pulled a red 6 times out of 15 tries because =

60 Evaluate

61 Evaluate (4 -5 )(4 3 ).

62 Tell how many solutions there are to the following system of equations: 3y-3x=12 y=x-4 No solutions

63 Solve the inequality 8(m+2)<4(5+2m) All real numbers

64 Write an equation of a line that passes through the point (5,4) and is parallel to the line y=3x+5. Y=3x-11

65 Write an equation of a line that passes through the points (1,-2) and (-2,13). Y=-5x+3

66 Y= - x +5 Rewrite the equation in slope-intercept form. 5x+2y=10

67 Find the slope of the line that passes through the points (9,4) and (0,1).

68 Find the x-intercept of the graph of the equation -5x-2y=20 -4

69 Solve 5x-3(x-5)=13 X=-1

70 Explain the difference between theoretical and experimental probability. Experimental is based on the results of an experiment while theoretical is what should happen

71 You flipped a coin 20 times and got 12 heads and 8 tails. What is the experimental probability of getting a tails. What is the theoretical probability of getting a tails? Experimental: or 40% Theoretical: or 50%

72 Mary is having a hard time with equivalent ratios. Her teacher gave her the fraction 7/12. Which ratio below is equivalent? A. B. C. D. A

73 I rolled a die and flipped a coin. What is the probability that I will get a 1 or 2 on the die and heads on the coin?

74 Jeff has test scores of 74, 86, 79, and 81. He wants his average for the five tests to be 82. What will he have to score on his fifth test to accomplish this? 90

75 Write 0.74 as a ratio in simplest form. 37:50

76 A 3-foot tall fence post casts a shadow 8 feet long. A silo next to the post casts a shadow 180 feet long. How tall is the silo? 67.5 feet

77 What is the next number in the pattern below: 2, 5, 10, 17, … 26

78 Complete the statement by using, =. =

79 A 20 foot ladder is placed 12 feet from the base of a building. How high up the wall, in feet, does the ladder reach? 16 feet

is 90% of what number? 210

81 Order from least to greatest 25%, -1/3, 2, -2,.38 -2, -1/3, 25%,.38, 2

82 Write 342,000 in scientific notation x 10 5

83 Write 2.76 x 10 4 in standard form. 27,600

84 Find the missing value. X = 15

85 Ashley runs 1 mile in 8 minutes. What is her average speed in miles per hour? 7.5 mph

86 In a baseball game, a batter hits a high fly ball to center field. Which type of function would represent the baseball’s path? Quadratic

87 Which statement is true about the lines with these equations: -4y=2x+3 and 5+2x=y. a)They are parallel b)They are perpendicular c)They intersect but are not perpendicular d)They are the same line B

88 Which statement is true about the lines with these equations: y=5x-3 and 3y=15x. a)They are parallel b)They are perpendicular c)They intersect but are not perpendicular d)They are the same line A

89 What is the solution of the system of equations below? y=2x+2 y=-x-1 a.(0,2) b. (-1,0) c. (0,-1) d. (1,-2) B

90 The equation -2y=3x+8 has solutions in three quadrants of the coordinate plane. Which Quadrant does not contain any solutions? Quadrant 1

91 Ms. Washington borrowed $2,000 from Elkton Bank. She agreed to pay 21% interest on the borrowed money. How much interest will she have to pay after one year? Use the interest formula I=prt to solve $420.00

92 Rachel purchased a $745 couch for her new town house. The sales tax was 6%. How much total did the couch cost? $789.70

93 Solve -2(x+5) > 5-x X<-15

94 Solve and graph 7-2x 5 X 1 (check student graphs)

95 Solve the formula P=2L+2W for W. W=

96 Write an equation of a line that passes through the points (3,1) and (12,4). Y= x

97 Write an equation of the line that passes through the points (2,2) and (2,5). X=2

98 Wendy is making curtains for her kitchen. She wants 4/9 of a yard of sage green fabric and 3/4 of a yard of mango fabric. How much fabric does Wendy need all together? or 1

99 Solve: 3(5x-1)=8-2x

100 Write an equation to represent the following data. P=N 2 +1 N1234 P251017

97 What is the n th term in the pattern below? 3, 5, 7, 9, 11, 13, … 2n+1