Columbia Public Schools
Algebra IName:________________________1st Semester Final ReviewBlock:_________Topics 1 - 31. Which of the following relations would have a domain of {1, 2, 3, 4, 5}? Check all that apply.2. An electronics store is having a big clearance sale. The table represents the number of televisions remaining in stock x hours after the beginning of the sale. Make a graph of the data shown in the table. Make sure to label the x and y axes.12192003435350200003. The graph represents the function f(x). Which statements are true about the function? Select all that apply.A. The domain of the function is {-3≤x≤4}.B. The domain of the function is {-3<x<4}.C. The range of the funciton is {-3≤x≤4}.D. The range fo the functionis {-1≤x≤3}.4. The following data were collected from some students to determin if there was a relationship between their height and the length fo their forearm. The data appear to be linear so the function f(x) = 0.344x – 18.5 approximates the length of a forearm based on a student’s height. Which would be an appropriate viewing window to see this information along with its line of best fit?5. Elsa, Traycee, and Leila’s math teacher gave them each an equivalent expression. The expressions represent the total number of tiles in each figure and n represents the figure number. He asked each student to model the expression and write a description of the way she thought of her model. Each of the student’s models is shown. Match each model with its description and the expression the student modeled.3371850203835Description Choices:(1) The width of the figure multiplied by its height.(2) The number of tiles needed for n x n square, plus the number of tiles needed for the top two rows, each with n tiles.(3) The number of tiles needed for a rectangle with a height of 3 and a width of n, plus the number of tiles needed for the remaining rows, each with a width of n.Expression Choices:(1) nn+2(2) 3n+nn-1(3) n2+2n020000Description Choices:(1) The width of the figure multiplied by its height.(2) The number of tiles needed for n x n square, plus the number of tiles needed for the top two rows, each with n tiles.(3) The number of tiles needed for a rectangle with a height of 3 and a width of n, plus the number of tiles needed for the remaining rows, each with a width of n.Expression Choices:(1) nn+2(2) 3n+nn-1(3) n2+2n6. In one minute the Earth orbits about 1000 miles around the sun. Which of the following correctly represents the distance, D, that the Earth travels in m minutes? Select all that apply.7. Three concrete models are shown. Each model represents an algebraic expression. In each of the given algebraic expressions, n represents the figure number. Match each model with the algebraic expression it best represents.39909759525Choices:(1) n2+n+1(2) (n+1)2-n(3) n2+1(n+1)(4) (n+2)2020000Choices:(1) n2+n+1(2) (n+1)2-n(3) n2+1(n+1)(4) (n+2)28. Ella, Della, and Stella are trying to write rules to represent how many people can be seated around t tables. They drew a diagram to help them understand the problem.Ella, Della, and Stella each thought through the problem in a different way. Each sister drew a diagram to represent her thinking, then created a rule to represent the problem. Match the rule each sister wrote with the diagram that represents her rule. Let t represent the number of smaller tables pushed together and let p represent the number of people that can be seated.4895850495935Choices:(1) p=2t+2(2) p=2(t+1)(3) p=2(t-1)+4(4) p=2t020000Choices:(1) p=2t+2(2) p=2(t+1)(3) p=2(t-1)+4(4) p=2t9. For Saturday’s math contest, Mrs. DuBois ordered 3 pencils for each student participating in the meet and a box of 22 pencils for the coaches’ grading room. This relationship can be modeled by the function f(s) = 3s + 22, where s is the number of student participants. Which is the dependent quantity in this relationship?A. The number of boxes of pencils ordered.B. The number of pencils ordered.C. The number of students participating in the meet.D. The number of coaches at the meet.10. The graph shows a function. What is the domain of this function? Fill in the blanks.2952750571500The domain of the function is {______≤x≤_______}.020000The domain of the function is {______≤x≤_______}.11. Amanda plans to hire a moving company to help move her belongings from her old house to her new house. She is considering two companies. Strong Arm Movers and Feldman & Sons. Strong Arm Movers chargers a $50 base rate plus $25 per hour. Feldman & Sons uses the following function to calculate the cost: ch=30+35h, where c is the cost of the move and h is the number of hours. Based on the information given, which of the following statements are true? Select all that apply.A. Feldman & Sons has a greater hourly rate.B. Strong Arm Movers costs more than Feldman & Sons for a 3-hour move.C. Strong Arm Movers and Feldman & Sons cost the same amount for a 2.5 hour move.D. The graph of the function for Strong Arm Movers has a greater slope than the graph of the function for Feldman & Sons.E. The graph of the function for Strong Arm Movers has a greater y-intercept than the graph of the function for Feldman & Sons.12. Which equation is shown of the graph?center54610Choices:A. 10x+5y=5B. 10x+5y=-5C. 10x-5y=5D. 10x-5y=-5020000Choices:A. 10x+5y=5B. 10x+5y=-5C. 10x-5y=5D. 10x-5y=-513. Emily, Sanaz, and Jacob all work at the mall. Sanaz is earning $20 more per week than Emily. Jacob is earning $15 less per week than Emily. All together, they earn $305 a week. Which of the following equations, when solved, gives Emily’s salary, x, per week?A. x+x-20+x-15=305B. x+x+20+x-15=305C. x+x+20+x+15=305D. x-x+20-x-15=30514. The tip chart shown can be used to determin the tip for a waiter or waitress at a restaurant based on the cost of the meal. Would this set of data represent a functional relationship and why?A. Yes, because you cannot be charged two different costs for the same meal.B. Yes, because one tip amount is not a solution for two different meal costs.C. Yes, because two different tip amounts are not solutions for the same meal cost.D. No, because two different meals could both cost $5.ic 41. The graph shows the equation y=2x-1.Which best describes the effect on this graph if the equation is changed to y=2x-2?A. The line is translated up.B. The line is translated down.C. The line becomes steeper.D. The line becomes less steep. 2. The graph shows Marc’s distance from a motion detector with respect to time. What was Marc’s average rate of change in distance over the entire walk?A. 14 foot per secondB. 74 feet per secondC. 2 feet per secondD. 1 foot per second3. What is the rate of change of this graph?A. –10 meters per secondB. -110 meters per secondC. 110 meters per secondD. 10 meters per second4. What is the rate of change for the data in the table?A. $2.25 per candy barB. $6.75 per candy barC. 49 candy bar per dollarD. 4.50 candy bars per dollar5. The four sections of the graph have been labeled W, X, Y, and Z. For which section is the rate of change 0?A. WB. XC. YD. Z6. What is the rate of change in the table?A. $2 per gramB. –2 grams per dollarC. $0.50 per gramD. -12 gram per dollar7. The graph shows Tina’s new cell phone plan. After the first 300 minutes, how much is Tina charged?8. Monika starts to walk home form school at constant rate. On the way home, she stops and rests. Then, remembering she left her math book in her locker, she returns to school at the same constant rate. Which graph best represents Monika’s distance from school in relation to time?A. B. C. D. Topic 51. Holly, Maria, and Johnny went to a fair over Spring Break. Holly paid $12.50 and went on one ride. Maria paid $15.00 and went on two rides. Johnny paid $20.00 and went on 4 rides. With x being the number of rides and y being the total amount paid, is the situation linear and why?A. Yes. There is a constant rate of increase of $2.50 for each ride.B. No. Between Holly and Maria there is an increase of $2.50 and between Maria and Johnny there is an increase of $5.00.C. No. We are not given the initial cost if they went on no rides.D. Yes. The y-intercept can be determined to be $10.00.2. Which table of values could define a linear relationship?A. B.x1234y14916x1234y12643C. D. x1234y5775x1234y75313. Glenda put $100 into a bank account. She will add $25 a week to the bank account for 3 months, or 12 weeks. At the end of the 3 months, she will have $400 in her account. How you know that the functional relationship described in this situation is linear?A. Glenda will be saving $25 each week, therefore there is a constant rate of change.B. Glenda is starting with $100, and that value will be the y-intercept.C. Glenda will only be saving money over 12 weeks.D. (12, 400) will be a coordinate pair for the function.4. Consider the data in the table shown. Select all the descriptions that apply.A. The data represents a linear relationship.B. The data represents a quadratic relationship.C. The rate of change is 1.D. The rate of change is 3.E. The data has a non-constant rate of change.5. Over a 4-hour period, the temperature dropped at a constant rate, as shown in the table. Which of the calculations shown could be used to determine how fast the temperature was changing in degrees per hour? Select all that apply.A. 342B. 284C. 28-404-0D. 29.5-38.53.5-0.5E. 37-342-16. Determine whether each pattern shown in the table is an inverse, linear, quadratic, or exponential.A. _______________B. _______________C. _______________D. _______________E. _______________ 7. The cost of a call under a certain long-distance plan depends on the number of minutes the call lasts. The table gives a numerical representation of this relationship, including an initial cost of $2.90. Which description most accurately describes this relationship between the number of minutes and the cost of the call?A. The cost of any length call is $2.90.B. The rate charged per minute increases the longer the call continues.C. The cost of any call is the number of minutes times $0.20.D. The cost of any call is $2.90 plus the number of minutes times $0.ic 61. What would be the x-intercept of the linear function graphed?A. (8, 0)B. (0, 8)C. (12, 0)D. (0, 12)2. At the start of soccer season, Tom weighed 160 pounds. He noticed that because of all the exercise he now gets, he is losing 2 pounds per week. Which of the following function fules represents this situation?A. y=160-2xB. y=2x+160C. y=2x-100D. y=-160-2x3. The Math Club is selling t-shirts as a fund-raiser. The function rule C=7n+40 represents their cost, with C representing the total cost of the order, and n representing the number of shirts. Which statement could represent this situation? Select all that apply.A. $7 is the price per shirt.B. $40 is the price per shirt.C. 40 is the minimum number of t-shirtsD. $40 is the set-up fee for the design.E. $7 is the set-up fee for the design.4. Tim’s bank account balance can be represented by the funtion, fx=250+20x, where x is the number of months since the account was opened. His grandmother gave him $50 to add to his account. What is the new function?A. fx=300+20xB. fx=250+70xC. fx=250+50xD. fx=200+20x5. Cameron, Greg, and Emily are raising money to buy their mom a birthday present. They start a neighborhood dog walking service. They paid $30 for supplies and are charging the owners $2.50 per dog. Which function rule could they use to calculate their profit, p, if they walk, d, dogs.A. p=2.50-30dB. p=30-2.50dC. p=2.50d-30D. p=30+2.50d6. The manager of the Dairy Shack has determined that the cost, c, of producing, n, ice cream cones can be modeled by the function c=0.5n+3. The cost of producing, n, milkshakes can be modeled by the function c=0.85n+3. How does the graph of the cost of milkshakes compare to the graph of the cost of ice cream cones?A. The slope is smaller, and the y-intercept remains the same.B. The slope is greater, and the y-intercept remains the same.C. The slope is smaller, and the y-intercept is greater.D. The slope is greater, and the y-intercept is smaller.7. Tania opened a savings account with the $200 she received as a graduation gift. The table shows her account balance at the end of each month. She is consistent with the amount she adds each week and doesn’t withdraw money.Fill in the missing blanks in the table, then construct a function that models this situation.fx=___________________________________8. The graph describes the height in feet of a hot air balloon that start from a height of 150 feet, then descends at a rate fo 20 feet per minute. About how many muntes will the hot air balloon reach the ground?A. 150B. 20C. 10D. 7.59. Charlie pays a subscription fee each month to listen to his favorite internet music channel. However, he has to pay extra for each song he downloads. One month his bill was $15.50 because he downloaded 8 songs. The next month, he paid $6.75 after downloading only one song. Write an equation that gives the total cost, C, as a function of the number of songs, x, he downloads.A. C=1.25xB. C=1.25x+5.50C. C=0.8x+5.50D. C=1.25x+1 ................
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