Name Date MIDTERM REVIEW II: SYSTEM OF EQUATIONS & INEQUALITIES, FUNCTIONS, LINE REGRESSION, AND LINEAR EQUATIONS 1.Which equatio is represeted b the graph? A. 5x 9 B. 8x 9 C. 5x 9 D. 8x 9 8 8 5 5 8 8 5 8. Use the umbers to fill i m ad b i the equatio mx b to represet the lie i the graph. 0. Which liear fuctio f has the values f 0 ad f 4 0? A. f x x 4 B. f x x C. f x 4 x 4 D. f x 4 4 4 4. Which of the followig is the equatio of the lie that passes through the poit (4, ) ad has a slope of 1? Select all that appl. x 1 x 4 1 x 4 1 x 1 x 4 x 0 1 x 4
Name 5. Which of the followig lies are perpedicular? Date 1x 6 x 10 x 6 x 10 6. Which formula represets the th term of arithmetic sequece, 5, 8, 11,? A. a 5 B. a 1 C. a 7 5 D. a 7 1 7. Cosider the fuctio f x x 5, if x 4, if 0 x 4 x, if x 0. Fid f. A. 1 B. 1 C. D. 5 8. If 4x 11 ad x 9, what is the value of? A. B. C. D. 1 9. The solutio to which sstem of equatios has a egative x-value? A. x 5 x 5 B. x 4x C. x 1 x 1 D. x 1 x 4 10. How ma solutios does the sstem of liear equatios 6a b 1 ad 6a b 1 have? A. oe B. two C. ifiite D. oe 11. Jill owes her parets $100. She saves $5 ever weeks. a. Write the equatio of the lie that illustrates this situatio. b. How log will it take her to pa her parets back the $100?
Name Date Chapters 4 5 Cumulative Test (cotiued) 1. Which iequalit is represeted b the graph? A. x 1 B. x 1 C. x 1 D. x 1 1. Which of the followig is a solutio of the sstem of iequalities show below? x x A. 0, 5 B. 5, 4 C. 1, D., 6 14. Which of the followig is ot a solutio of x 1? A., 5 B. 0, 0 C. 4, 1 D., 4 15. Determie whether the sequece x, x, x, is arithmetic. If so, fid the commo differece ad the ext three terms. If ot, explai our reasoig. 16. The graph represets a piecewise fuctio. a. Write a piecewise fuctio for the graph. b. Use the graph to evaluate f 0. c. Use the graph to evaluate f.
Name 17. The followig poits are the vertices of a triagle: 0, 4, 4, 0, 4, 0. Date a. Write a sstem of liear iequalities so that the graph of the solutios of the sstem represets the triagle. b. Fid the area of the triagle. 18. I 014, the cost of a first class postage stamp was $0.49. The table shows the cost of mailig a letter of various weights. Weight (ouces) Cost (dollars) 1 0.49 0.70 0.91.5 1.1 a. Write a fuctio to represet the cost of mailig a stamped letter that weighs betwee 0 ad.5 ouces. b. What tpe of fuctio is this? Explai our reasoig. c. Graph the fuctio. 19. A local pizza shop prices its pizza based o the umber of toppigs. The table shows the price p of a pizza with t toppigs. Number of toppigs, t Price, p 1 $11.5 $1.50 $1.75 a. Write a fuctio to represet the price p of a pizza i terms of the umber t of toppigs. b. What is the cost of a pizza with o toppigs? c. A meat lover s pizza has baco, sausage, pepperoi, ad ham, ad costs $14.50. How does this compare to a 4-toppig pizza?
Name Date 0. A algebra class collected the followig data to determie if there is a correlatio betwee height ad shoe size. Height (cetimeters) 160 17 165 18 175 178 Shoe size 7 9 8.5 1 10 10 a. Make a scatterplot usig the data. The draw a lie of fit. b. Write a equatio for the lie of fit. c. Iterpret the slope ad the -itercept. d. Determie whether the data show a positive, a egative, or o correlatio. e. A basketball plaer is 7 feet 1 ich tall. Use our equatio from part (b) to predict his shoe size. f. His actual shoe size is. How accurate is our equatio? g. Use a graphig calculator to fid the equatio of the lie of best fit. h. Idetif ad iterpret the correlatio coefficiet. 1. You are i charge of the aual Powder Puff football game. You desiged a T-shirt to sell durig the evet. A compa charges $750 for the first 100 shirts ad $500 for each additioal 100 shirts. a. Write a equatio that represets the total cost as a fuctio of the umber (i hudreds) of shirts ordered. b. Fid the total cost of 500 shirts.. Which of the followig lies are parallel to x 6? Select all that appl. x 4 x 6 x 9 x 1 x
Name. You bur 0 calories per miute bikig for x miutes ad 10 calories per miute walkig for miutes. You sped a total of 90 miutes bikig ad walkig ad bur 100 calories. a. Write a sstem of equatios to determie how much time ou sped o each exercise. b. How ma miutes did ou sped bikig? 4. The Future Busiess Leaders of America club is settig up a school store. Members pla to sell pes ad pecils. A pe is $1.5 ad a pecil is $0.5. The would like to sell at least 50 pes ad 100 pecils per week, with a goal of earig at least $115 per week. a. Defie the variables ad write a sstem of iequalities to represet the situatio. b. Graph this sstem. c. Give two possible solutios to describe how the club ca meet its goal. d. Is (55, 105) a solutio? Explai. 5. Place each sstem of equatios ito oe of the three categories. Date No solutio Oe solutio Ifiitel ma solutios 8x 10 4 6x 5 x 4 x x 0 1 4x 5x 4 14 x 6 6 7x 18 6x 6 0 x 8 6 5x 0 15