ALGEBRA 1Name______
Fall 2015 Semester Exam Review
1. According to the data shown below, which would be the best prediction of the average cost of a 3-bedroom house in Georgetown in the year 2018?
Year / Average Cost of a 3-bedroom House (thousands)1990 / 89.6
1995 / 98.2
2000 / 106.8
2005 / 115.4
2010 / 124
4. The table shows the number of toll booths driven through compared to the cost of using a Toll Tag.
Number of Toll Booths (t) / Cost (c)3 / 22.25
4 / 23.00
6 / 24.5
7 / 25.25
8 / 26
5. The table shows the value of a car over time.
Year / Value (dollars)1980 / 12,000
1990 / 10,000
2000 / 8,000
6. Ms. Yanez plans to order rose bushes for her flowerbeds. The bushes cost $7.50 each and the shipping charge is $4.00, regardless of the number of bushes ordered.
Flower ShopRose Bushes: $7.50 each
Shipping: $4.00
Ms. Yanez budgeted $60.00 for the rose bushes. She believes that the maximum number of rose bushes she can order is 8. Is her conclusion reasonable?
A No, because if x represents the number of rose bushes, then the total charge is 7.50x + 4, or 7.50(8) + 4, or $64.
B No, because if x represents the number of rose bushes, then the total charge is 7.50x, or 7.50(4), or $30.
C Yes, because if x represents the number of rose bushes, then the total charge is 4x + 7.50, or
D 4(8) + 7.50, or $39.50.
E Yes, because if x represents the number of rose bushes, then the total charge is 7.50x, or 7.50(8), or $60.
7. If the trend continues on the graph, how much would you expect an infant to weight in January?
A 14.5 lb.B 22 lb.
C 14 lb.D 30 lb.
8. The graph to the left shows a well- known actors earning power, in millions of dollars during a 4 year period. If the trend continues
In what year will he earn approximately
$30 million dollars?
9. Jorge found a baby shark and decided to raise it. He measured and recorded the length of the shark each month as it grew. The data are shown in the scatter plot below.
10. The data in the scatter plot below represents the relationship between the election year and the number of 25 year old voters in the presidential election.
11. Which of the following represent a function?
I {(2, 3), (-8, 3), (6, 3)}II III
A I and II only
B II and III only
C none are functions
D all are functions
12. Give examples of a table, a graph, and a set of ordered pairs that are NOT functions.
13. You are making holiday gift bags for 12 of your friends. You want to spend $10 on each gift bag. You have already saved $80 and you plan to save an additional $4 each week. Which equation best describes the number of weeks until you have enough money saved for the gift bags?
A B
C D
14. Which of the following are the domain and range for the graph shown below
A 0.5 x 4.5B 0 x 5
0 y 35 0 y 35
C 0 x 35D 0.5 < x < 4.5
0 y 4.5 0 < y < 35
15 & 16: Find the domain and range for the graphs below
Domain: ______Domain: ______
Range: ______Range: ______
17. Ms. Brown asked her students to identify the domain represented by the function graphed below:
18. Which is the best equation for the line of best fit for the following scatterplot?
A
B
C
D
19.
Find the equation for the line of best fit for the following scatter plot.
Equation: ______
20. A science experiment involved hanging objects of various weights on a spring. The graph shows how much the spring stretched with the various objectsattached.
21. Sally recorded her spending patterns for a month on the following scatter plot. Observe the following scatter plot to answer the following questions:
22. Look at the graph below. Which is the best interpretation of this graph?
23. Simplify the Algebraic expression:
A B C D
24. Solve -3x + 2 = 11______
25. Given the function f(x)= 2x2 – 4 , what is the value of f(-5)?
A –54B –14C 46D 25
26. Given the function 4x2 + 3x – 1, find f(-2) ______
27. Which graph represents a linear parent function?
A B C D
28. What transformation is needed to move y = x – 7 to its original parent function?
______
29. Refer to the graph below to complete the following statements.
30. The squares below are arranged in a sequence to show a pattern.
Stage 1Stage 2Stage 3
The table below shows the perimeter of each figure formed by the squares in the three pattern stages. Each side of a square represents 1 unit. If this pattern were to continue, which expression could be used to determine the perimeter of the figures at stage n?
Stage, n / Perimeter, P (Units)1 / 16
2 / 24
3 / 32
31. Which table identifies points on the line defined by the equation ?
A B C D
x / y / x / y / x / y / x / y-8 / -35 / -6 / -39 / -5 / -21 / -7 / -39
0 / -15 / -5 / -33 / -1 / -9 / -3 / 15
2 / 3 / 1 / 3 / 1 / -3 / 0 / 3
4 / 11 / 4 / 21 / 4 / 6 / 4 / -27
7 / 25 / 7 / 39 / 5 / 9 / 6 / -39
32. In the slope-intercept form y = mx + b, what does m represent? ______
What does b represent? ______
33. To which of the following situations can the function y = 10x + 30 be used to describe?
A Maria rented 30 videos at a cost of $10 per video. What is y, the cost of renting x videos?
B Taylor bought a plant that is 10 inches tall and will grow 30 inches per month. What is y, the height of the plant after x months?
C The cost of renting a paddleboat is $10.00 per hour. What is y, the cost of renting the paddleboat for x hours?
D Shelby is paid $10.00 per hour and earns $30.00 in tips each day. What is y, her earning for working x hours?
34. David graphed a linear function on his graphing calculator. His graph is shown below.
x / y-2 / 11
-1 / 8
0 / -5
1 / -2
A y = 3x + 2BCD
35. At the ______, x = 0. At the ______, y = 0.
36. Some employees of Ace corporation left their office building and drive separately on the same road to a convention. The graph shows the distance traveled by each employee after 5 hours of non-stop driving at 4 different speeds.
37. The owner of Pics-2-Go determined that the function y = 50x – 4500 can be used to find the profit, y, after selling x number of pictures. What is the meaning of the y-intercept of the graph of this function rule?
A Each picture sells for $50.
B When 4500 pictures are sold Pic-2-Go will break even.
C If no pictures are sold, Pics-2-Go will lose $4500.
D The y-intercept has no meaning in this problem since it is a negative number.
38. If the graph below is translated 7 units down, what would the new equation be?
39. If the graph of the line is shifted 5 units down and the slope is tripled, what would the equation be? ______
40. For the line graphed below, the x-intercept is changed to -2 and the slope is unchanged.
40B. What is the zero/solution of the line graphed in problem 40? ______
41. Write the equations of the two graphs. Next, describe what changed and what remained the same from Graph 1 to Graph 2. Be sure to explain the changes if any in the slope and the x- and y-intercepts.
Graph 1 Graph 2
42. For the equation y = x – 1, the slope is doubled and the y-intercept is translated down by 1. Which of the following graphs shows the new equation?
A B C D
43. Joey and Amanda are selling crafts at an art show. The graph below shows the total number of items they have sold to the number of hours they spent creating them.
44. Sam’s Bowling World charges $5 a game plus a $2 shoe rental fee.
a) If c is total cost for a night of bowling and g is the number of games played, write an equation for the situation above.
b) Graph the equation.
45. The original function y = x + 4 is graphed on the same grid as the new function y = -x + 4. Which of the following statements about these graphs is true?
A The graph of the original function issteeper than the graph of the newfunction.
B The graph of the original function isparallel to the graph of the new function.
C The graphs intersect at (4, 0).
D The graphs intersect at (0, 4).
46. Ryan is writing a composition for homework. He decides to keep track of the number of sentences he writes compared to the time in minutes he works. The graph below show the data he collected.
How would the graph change if Ryan began with 15 sentences he wrote from class and wrote at a rate of 50 words in 20 minutes? Would the graph be less steep or steeper? How would the y-intercept change?
47. Aaron takes many business trips for his company. His boss, Mr. Smith, reimburses him for every hour he is on the road traveling. Aaron gets paid an hourly rate plus a bonus amount to pay for his meals. The table below shows the relationship between h, the number of hours on the road and t, the total amount of reimbursement Aaron will receive. If Mr. Smith decreases Aaron’s hourly rate by $1.50 but keeps the bonus the same, what will be the new total reimbursement for traveling 10 hours?
hours, h / Total reimbursement, t1 / $56
3 / $68
6 / $86
9 / $104
48. To which of the following situations can the function y = 5x + 10 best be applied?
A The number of miles a person walks if he walks for 5 hours at the rate of 10 miles per hour
B The total weight on a scale if 5 pounds is placed there initially and a series of
10-pound weights are added to it
C The total wages earned by a waiter who is paid $5 per hour and earns $10 in tips
D The combined length of 5 boards, each 10 feet longer than the width of a doorway
49. Roger restores vintage automobiles. The number of automobiles Roger has restored, f, after n number of years can be described by the equation . What is the rate of change in this situation?
50. A small business has started building new homes in Georgetown. The owner writes an equation, , to describe the number of homes his company will build, f, after n number of years. Which statement best describes the rate of change?
A The business builds 4 new homes in Georgetown each year.
B The number of new homes the business builds in Georgetown is multiplied by 6 each year.
C The business increases the number of new homes they build in Georgetown by 4 each year.
D The business builds 6 new homes in Georgetown each year.
51. A train travels 400 miles from Eugene, Oregon to Vancouver, British Columbia. The graph shows the distance of the train from Vancouver as a function of time traveled. Which best describes the relationship between time, t, and the distance, d, the train is from Vancouver?
A
B
C
D
52. A plane travels 2,500 miles from New York to Los Angeles. The graph shows the distance of the plane from Los Angeles as a function of time traveled. Write an equation that describes the relationship between time, t, and the distance, d, the plane is from Los Angeles.
53. What are the coordinates of the x-intercept of the function graphed below?
54. What are the coordinates of the x-intercept of the function graphed below?
55. Which of the following represent direct variation functions?
III
III IV
56. Write a function which represents direct variation ______
57. The graph of a linear function is shown below.
58. The graph of a linear function is shown below. For this function, what is the value of x when y = -3?
Ax = 1
B x = 0
C x = -1
D x = - 2
59. Logan won a gift certificate of $100 to an electronics store. He decided to use the gift certificate towards the purchase of a tablet. The tablet that he wants costs $475. Logan has decided to take a part-time job paying $7.50 per hour to earn the rest of the money. Which inequality could be used to find the number of hours Logan must work to earn the money needed to buy the tablet?
A 7.5h + 100≥ 475 C 7.5h + 100 > 475
B 7.5h + 100 ≤ 475D 7.5h – 100 ≥ 475
60. Mark found a coupon for $30 off a wireless controller for a video game. The controller that he wants costs $70. Mark has decided to mow lawns for $7.00 per hour to earn the rest of the money. Write an inequality that could be used to find the number of hours Mark must mow lawns to earn the money he needs to buy the controller.
61. Determine if the given mapping represents a function.
62. Determine if the given mapping represents a function.
67. Find the 15th term in the sequence 3,5,7,9,11,13…. ______
Solve each of the following for x
68. a.______
b.______