4. The table shows the number of toll booths driven through compared to the cost of using a Toll Tag.

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1 ALGEBRA 1 Fall 2016 Semester Exam Review Name 1. According to the data shown below, which would be the best prediction of the average cost of a -bedroom house in Georgetown in the year 2018? Year Average Cost of a - bedroom House (thousands) A 12.6 thousand B thousand C thousand D 17.8 thousand b 2. What is the equation, in slope-intercept form, of the linear function a graphed to the left? A C 2 y x 1 B 2 y x 1 D y y x 1 2 a. Write the equation, in slope-intercept form, of the linear function b graphed to the left. 4. The table shows the number of toll booths driven through compared to the cost of using a Toll Tag. Number of Toll Cost (c) Booths (t) Which equation shows the relationship between t, the number of toll booths, and c, the total cost of the Toll Tag? A t = c B t = c C c = t D c = t

2 5. The table shows the value of a car over time. Year Value (dollars) , , ,000 Based on the information in the table what was the approximate value of this car in 199? A $9,000 B $9,200 C $9,400 D $9, 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 Shop Rose 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 $0. C Yes, because if x represents the number of rose bushes, then the total charge is 4x , or D 4(8) , or $9.50. E Yes, because if x represents the number of rose bushes, then the total charge is 7.50x, or 7.50(8), or $ If the trend continues on the graph, how much would you expect an infant to weight in January? A 14.5 lb. C 14 lb. B 22 lb. D 0 lb.

3 8. 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. Length of shark (inches) Which is a valid statement regarding this experiment? A The months depends on the length of the shark B The graph has a negative correlation C The length of the shark is the dependent quantity D The number of months is the dependent quantity Months 9. Which of the following represent a function? I {(2, ), (-8, ), (6, )} II 1 y x III x f(x) A I and II only B II and III only C none are functions D all are functions Years since 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 80 4x 120 B 10 4x 80 C 10x 4 80 D 80 10x 120

4 11 & 12: Find the domain and range for the graphs below Domain: Range: Domain: Range: 1. Ms. Brown asked her students to identify the domain represented by the function graphed below: Which of the following is the correct response? A x 4 B y > 4 C x < 4 D y < Which is the best equation for the line of best fit for the following scatter plot? A y 2x 20 B y x.92 C y 11.4x 1.06 D y 1.07 x 11.4

5 15. Find the equation for the line of best fit for the following scatter plot. Equation: 16. A science experiment involved hanging objects of various weights on a spring. The graph shows how much the spring stretched with the various objects attached. SCIENCE EXPERIMENT Which of the following is the best interpretation of this scatter plot? Length of Spring (in inches) A As the length of the spring decreases, the weight of the object increases. B The more an object weighs, the longer the spring is. C The lightest object results in the longest spring length. D The weight of the object depends on the length of the spring. Weight of Object (in ounces) 17. Look at the graph below. Which is the best interpretation of this graph? A Cynthia runs at a constant rate of 5 miles every 0 minutes. B Jorge earns $15 for each hour worked. C For every 15 minutes of laser tag, Miles pays $5. D At Sandwich Express, Miguel makes 15 sandwiches every half hour.

6 18. Simplify the Algebraic expression: (2x 4) 4x 4(x 6) A 2x 10 B 7x 12 C 2x 6 D 2x Solve -x + 2 = Given the function f(x)= 2x 2 4, what is the value of f(-5)? A 54 B 14 C 46 D Given the function 4x 2 + x 1, find f(-2) 22. Which graph represents a linear parent function? A B C D 2. What transformation is needed to move y = x 7 to its original parent function?

7 24. Refer to the graph below to complete the following statements. For 1 hour of bowling, Emilio pays Total cost For 2 hours of bowling, Emilio pays For 5 hours of bowling, Emilio pays Hours bowling 25. The squares below are arranged in a sequence to show a pattern. Stage 1 Stage 2 Stage 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) A 8(2 n) B 8( n 1) C 8( n 1) 8n D 2( n 1) 4n 26. Which table identifies points on the line defined by the equation y 6x? A B C D x y x y x y x y

8 27. In the slope-intercept form y = mx + b, what does m represent? What does b represent? 28. To which of the following situations can the function y = 10x + 0 be used to describe? A Maria rented 0 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 0 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 $0.00 in tips each day. What is y, her earning for working x hours? 29. David graphed a linear function on his graphing calculator. His graph is shown below. Which of the following would produce a graph exactly like the one David graphed? A y = x + 2 B A student started with C x y D $ and is saving at a rate of $2 each week. What is y, the amount -1 8 of money saved after 0-5 x weeks? 1-2 A student started with $ and is spending $2 each week. What is y, the total amount of money spent after x weeks? 0. 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. Which employee drove at the fastest rate to the convention? A Mr. Able B Ms. Ruiz C Ms. Woo D Mr. Hill

9 1. 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. 2. If the graph below is translated 7 units down, what would the new equation be? A C 1 y x 2 B y x 7 1 y x 5 D y 7x 2 2. If the graph of the line y x 1 is shifted 5 units down and the slope is tripled, what would the equation be? 4. For the line graphed below, the x-intercept is changed to -2 and the slope is unchanged. What will be true about the new line? A. The new line will be parallel to the original line. B. The new line will be perpendicular to the original line. C. The new line will intersect the original line. D. The new line will be the same line as the original line.

10 5. 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 6. 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 7. 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. Crafts Sold Time (hours) How would the graph change if Joey and Amanda were given 10 items by a local artist before they started making their own crafts? A the x-intercept would stay the same B the y-intercept would shift up C the steepness would decrease D the steepness would increase D the y-intercept would shift down

11 8. 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. c) If Sam s Bowling World has a holiday special, charging half the cost per game, what would happen to the steepness of the graph? d) If Sam s Bowling World kept their cost per game but increased the shoe rental fee to $6, how would the y- intercept change? 9. 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 is steeper than the graph of the new function. B The graph of the original function is parallel to the graph of the new function. C The graphs intersect at (4, 0). D The graphs intersect at (0, 4). 40. 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. 90 SENTENCES WRITTEN TIME (minutes) 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?

12 41. 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? Total hours, h reimbursement, t 1 $56 $68 6 $86 9 $104 Record your answer and fill in the bubbles on your answer document. 42. 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 4. Roger restores vintage automobiles. The number of automobiles Roger has restored, f, after n number of years can be described by the equation f n 2 5n. What is the rate of change in this situation? 44. A small business has started building new homes in Georgetown. The owner writes an equation, f n n, to describe the number of homes his company will build, f, after n number of years. Which 4 6 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.

13 45. 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? Distance ( miles) A d 80t B d t C d 80t D d t Time (hours) 46. 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. Distance ( miles) Time (hours) 47. What are the coordinates of the x-intercept of the function graphed below? A (5, 0) 0 B (-4, 0) (-7, -9) (-, -6) C (0, 5) D (0, -4)

14 48. What are the coordinates of the x-intercept of the function graphed below? 0 (-6, -10) (-, -8) 49. The graph of a linear function is shown below. For this function, what is the value of x when y = -4? Record your answer and fill in the bubbles on your answer document. 50. The graph of a linear function is shown below. For this function, what is the value of x when y = -? A x = 1 B x = 0 C x = -1 D x = - 2

15 51. 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 C 7.5h > 475 B 7.5h D 7.5h Mark found a coupon for $0 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. 5. Determine if the given mapping represents a function Determine if the given mapping represents a function

16 Find the 15 th term in the sequence,5,7,9,11,1.