Algebra 1 Honors First Semester Review

Transcription

1 Permitted resources: Algebra 1 Honors First Semester Review TI-108 (or similar basic four function calculator) Algebra 1 and Geometr EOC Reference Sheet 4. Identif the mapping diagram that represents the relation and determine whether the relation is a function. Multiple Choice Identif the choice that best completes the statement or answers the question. 1. Suppose U = { 10, 6, 2, 0, 3, 5} and T is the set { 10, 6, 0}. What is the complement of set T? a. { 2, 3, 5} c. { 6, 2, 0, 3, 5} b. { 10, 6, 0} d. {0, 3, 5} a. c. 2. A hiker climbs up a steep bank and then rests for a minute. He then walks up a small hill and finall across a flat plateau. What sketch of a graph could represent the elevation of the hiker? b. The relation is a function. d. The relation is not a function a. c. elevation elevation The relation is a function. The relation is not a function. time time b. d. An of the graphs could represent the situation, depending on the hiker s speed. 5. You have 8 cups of flour. It takes 1 cup of flour to make 24 cookies. The function = 24f represents the number of cookies, c, that can be made with f cups of flour. What domain and range are reasonable for the function? What is the graph of the function? elevation a. The domain is. c. The domain is. time 3. The ordered pairs (1, 1), (2, 4), (3, 9), (4, 16), and (5, 25) represent a function. What is a rule that represents this function? a. c. b. d.

2 b. The domain is. d. The domain is. 12. What is the order of, 0.6, 4, 0.7, from least to greatest? What is the order of, 0.5, 1, 1.6, from least to greatest? 6 What propert is illustrated b each statement? = Short Answer (4 + 4) = (7 + 4) + 4 What is an algebraic epression for the word phrase? 6. 3 times the sum of b and f What word phrase can ou use to represent the algebraic epression? What is the simplified form of each epression? 16. A mountain climber ascends a mountain to its peak. The peak is 12,740 ft above sea level. The climber then descends 200 ft to meet a fellow climber. Find the climber s elevation above sea level after meeting the other climber. 17. You made two deposits to our bank account this month. One deposit was $17.92, and the second deposit was $ Your balance at the end of the month is $72.31, and ou made no withdrawals. Write and evaluate an epression for our balance at the beginning of the month Evaluate ab + bc, for a = 18, b = 10, and c = What is the simplified form of each epression? 1 (21m + 27) Evaluate, for u = 20, = 4, = 7, and z = (2 9c)( 8)

3 What equation do ou get when ou solve for? 21.. What equation do ou get when ou solve for? = ( 2 + 1) 31. Car A travels miles in 7 hours. Car B travels 350 miles in 4 hours. Car C travels 584 miles in 15 hours. Which car has the fastest average speed? 23. John and 2 friends are going out for pizza for lunch. The split one pizza and 3 large drinks. The pizza cost $ The spend a total of $ Find the cost of one large drink. What is the solution of the proportion? = 7( 2 2z) = A van travels 146 miles on 6 gallons of gas. How man gallons does the van need to travel 550 miles? 27. A cop center offers its customers two different pricing plans for black and white photocopies of 8.5 in. b 11 in. pages. Customers can either pa $0.08 per page or pa $7.50 for a discount card that lowers the cost to $0.05 per page. Write and solve an equation to find the number of photocopies for which the cost of each plan is the same. 35. A package deliver compan has determined that the can meet their schedules if the have 4 drivers for ever square miles of area the cover. If the want to offer service to a count of 75 square miles, how man drivers must the have?

4 In the diagram, the figures are similar. What is? 40. Suppose ou had d dollars in our bank account. You spent $12 but have at least $51 left. How much mone did ou have initiall? Write and solve an inequalit that represents this situation. 36. What are the solutions of the inequalit? Graph the solutions. 8 ft ft Drawing not to scale 3 ft What are the solutions of the inequalit? Graph the solutions A tree casts a shadow 10 ft long. A bo standing net to the tree casts a shadow 2.5 ft. long. The triangle shown for the tree and its shadow is similar to the triangle shown for the bo and his shadow. If the bo is 5 ft. tall, how tall is the tree? What are the solutions of the inequalit? Graph the solutions < The width of a rectangle is 33 centimeters. The perimeter is at least 776 centimeters. Write and solve an inequalit to find the possible length of the rectangle. What are the solutions of the inequalit? Graph the solutions. Drawing not to scale 45. q (q 22) > A map has a scale of 1 cm : 18 km. Two cities are 2.7 cm apart on the map. To the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance? 46. What are the solutions of the inequalit? Graph the solutions. 39. What are the solutions of the inequalit? Graph the solutions. 47. What are the solutions of the compound inequalit? Graph the solutions.

5 48. 2 < 4 10 < A student scored 83 and 91 on her first two quizzes. Write and solve a compound inequalit to find the possible values for a third quiz score that would give her an average between 85 and, inclusive. Use the following information for numbers 55 and 56. Let U = {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}, X = {5,10,15}, Y = {3,6,9,12,15}, Z = {2,4,6,8,10,12,14} 55. What is???? What are the solutions of the compound inequalit? Graph the solutions < 12 or > What is?? Bob is comparing the ingredients for three different muffin recipes. Let Recipe 1 represent set A, Recipe 2 set B, and Recipe 3 set C. What is in? What is in? What are the solutions of the equation? Graph and check the solutions. 52. What are the solutions of the inequalit? Graph the solution The bulk food section of a grocer store has two bins with different tpes of mied nuts. The first bin (A) contains walnuts, peanuts, and pistachios. The second bin (B) contains pecans, almonds, Brazil nuts, and walnuts. The universe is comprised of onl sets A and B. How man elements are in the set A B? What are the elements of ~A? What are the elements of ~B? 58. Of 410 consumers polled, some purchase music on CDs, some onl download music, and some do both. If 2 people polled purchase CDs and 220 purchase CDs and download music, how man people download music? Create a Venn diagram to solve.

6 59. Using a table of values, graph the function 65. Elaine has a business repairing home computers. She charges a base fee of $ for each visit and $35 per hour for her labor. The total cost C for a home visit and hours of labor is modeled b the function rule. Use the function rule to make a table of values and a graph. What is the domain and range of the function?. A tai compan charges passengers $1.00 for a ride, and an additional $0. for each mile traveled. The function rule describes the relationship between the number of miles m and the total cost of the ride C. If the tai compan charges ou $13.00 how far did ou travel? 61. Crstal earns $5.50 per hour mowing lawns. Write a rule to describe how the amount of mone m earned is a function of the number of hours h spent mowing lawns. How much does Crstal earn if she works 3 hours and 45 minutes? C C 62. A zucchini plant in Darnell s garden was 12 centimeters tall when it was first planted. Since then, it has grown approimatel 0.5 centimeter per da. Write a rule to describe the function. After how man das will the zucchini plant be meter tall? 63. Suppose U = {orange, pear, peach, mango, apple, cherr} and T is the set {pear, mango}. What is the complement of set T? 64. Model the function rule with a table of values and a graph An emploee receives a weekl salar of $340 and a 6% commission on all sales. a. Write a rule to describe the function f(d) that gives weekl earnings in terms of d dollars in sales. b. Find the emploee s earnings for a week with $6 total sales. c. What were the emploee s total sales for a week in which her earnings were $1? Identif the domain and range of the relation. Is the relation a function? 4 6

7 For 71-72, do the relations below represent functions? If es, find the domain and range of each The cost to ride the cit bus is $2.00 one wa. Net ear, the cost will be $2.10 one wa. The ear after that the cost will be $2.20 one wa, and after that the fare will be $2.. Write a rule to represent the cost of riding the cit bus one wa as an arithmetic sequence. How much will it cost to ride the bus 12 ears from now? The function represents the number of guitar lessons, g(t), ou can complete in t months. How man guitar lessons can ou complete in 7 months? 71. Deter has 83 tiles left over from tiling his bathroom floor and he would like to use them to tile the front entrance of his house. Each tile has an area of 49 in.. The function represents the area, in square inches, that t tiles cover. What domain and range are reasonable for the function? What is the graph of the function? A(t) t