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Name________________________________________Date___________________________Hour__________ Semester One Final Exam Study Guide- Algebra 1 1) Make a mapping diagram that represents the relation and determine whether the relation is a function. (3,6), (1,6), (5,6), (8,6) 2) The total cost to rent a row boat is $10 times the number of hours the boat is used. Write an equation to model this situation if c= total cost and h=number of hours. 3) What equation models the data in the table if d= number of days and c = cost 4) 5) 6) 7) 8) 9) 10) 12) 11) 13) 14) 15) 16) 17) 18) 19) 20) 21) 22) 23) 24) 25) A customer went to a garden shop and bought some potting soil for $12.00 and 5 shrubs. The total bill was $72.00. Write and solve an equation to find the price of each shrub. 26) 27) 28) 29) 30) 31) 32) Graph the inequality 33) Graph the inequality 34) Graph the inequality 35) Solve the inequality and then graph 36) Solve the inequality and then graph 37)Solve the inequality and then graph 38)Solve the inequality and then graph 39) Solve the inequality and then graph 40) Solve the inequality and then graph 41) 42) 43) Solve the inequality 44)Solve the inequality 45)Solve the inequality 46)Solve the inequality 47)Graph the function 49)Write a function rule that gives the total cost c(p) of p pounds of sugar if each pound costs $0.38 48) 50) 51)Find the slope 52)Find the slope and y-intercept of the line 53) Find the x and y intercept 54) Write an equation in point slope form given the point and slope 55) Write an equation in point slope form given the point and slope 56) 57) Are the graphs of the lines in the pair parallel? Explain 58) Write an equation in slope-intercept form that is parallel to the line that is given that passes through the given point. 59) Write an equation in slope-intercept form that is perpendicular to the line that is given that passes through the given point. 60) Tell whether the lines are parallel, perpendicular, nor neither. Algebra I Final Study Guide Answers 1) 2) c=10h 3)c=20d 4) 35 5)784 6) 18 7) 70 8) 2 9) 33 10) integers, rational 40 3 6 10 , , 12) 10.2 13) 19 14)-80 15) 6.25 16)-5 17) 7 18)3 19)40 20) 2 21) 2 22) 3 23) 1 5 19 7 24) 3 25) 5p+12.00=72.00; p=12.00 26) -9 27) 86 28) 279parts/hr 29) $0.06/oz 30) l = 16 cm, w= 13 11) 31) n + n + 1 =-37, n = -19, n + 1 = -18 32) 33) 34) 35) x 1 36) n 10 37) 38) 39) 41) 42) 46) b 18 47) graph 48) 51) 3 1 52) ;-1 2 4 40) 43) c 1 44) x 7 45) x 14 49) 53) x-int: -40, y-int: -15 50) 54) 55) 56) Yes, slope is the same and the y-int’s are different 58) y=3x+9 59) perpendicular 60) Algebra I Final Study Guide Answers 1) 2) c=10h 3)c=20d 4) 35 5)784 6) 18 7) 70 8) 2 9) 33 10) integers, rational 40 3 6 10 , , 12) 10.2 13) 19 14)-80 15) 6.25 16)-5 17) 7 18)3 19)40 20) 2 21) 2 22) 3 23) 1 5 19 7 24) 3 25) 5p+12.00=72.00; p=12.00 26) -9 27) 86 28) 279parts/hr 29) $0.06/oz 30) l = 16 cm, w= 13 11) 31) n + n + 1 =-37, n = -19, n + 1 = -18 32) 33) 34) 35) x 1 36) n 10 37) 38) 39) 41) 42) 46) b 18 47) graph 48) 51) 3 1 52) ;-1 2 4 40) 43) c 1 44) x 7 45) x 14 49) 53) x-int: -40, y-int: -15 50) 54) 55) same and the y-int’s are different 58) y=3x+9 59) perpendicular 60) 56) Yes, slope is the