44. Reasoning Use the dartboard below. Can you score exactly 100 points with seven darts that all land on the board? Explain.

    

Standardized Test Prep

GRIDDED RESPONSE

SAT/ACT

45. What is the value of the y-coordinate of the solution of the given system?

    4x + 3y = 33

    3x + 2y = 23

46. What is the y-intercept of 2x + 5y = 15?
47. You buy a toothbrush for $2.83 and a tube of toothpaste for $2.37. There is a 5% sales tax. Including the tax, what is the total cost in dollars of your purchases?

48. Three fire trucks and 4 ambulances can fit into a parking lane 152 ft long. Two fire trucks and 5 ambulances can fit into a lane 136 ft long. How many feet long must a parking lane be for 1 fire truck and 5 ambulances? Assume there is 1 ft of space between each vehicle.

    

49. You are competing in a mountain bike race. Your average speed is 10 mi/h. If the racecourse is 65 mi long, how many minutes will it take you to finish the race?

Mixed Review

See Lesson 6-2.

Solve each system using substitution.

50. y = 1 2 x 2 y + 3 x = 28 table with 2 rows and 1 column , row1 column 1 , y equals , 1 half , x , row2 column 1 , 2 y plus 3 x equals 28 , end table

51. x − 7 = y 2 x − y = 41 table with 2 rows and 1 column , row1 column 1 , x minus 7 equals y , row2 column 1 , 2 x minus y equals 41 , end table

52. x + 2 y = − 1 3 x − 5 y = 30 table with 2 rows and 1 column , row1 column 1 , x plus 2 y equals negative 1 , row2 column 1 , 3 x minus 5 y equals 30 , end table

See Lesson 3-4.

Solve each inequality.

53. 4 − 2 a < 3 a − 1 4 minus 2 eh less than 3 eh minus 1
54. 3 ( 2 x − 1 ) ≥ 5 x + 4 3 open 2 x minus 1 close greater than or equal to 5 x plus 4

55. 2.7 + 2 b > 3.4 − 1.5 b 2.7 plus 2 b greater than 3.4 minus 1.5 b

Get Ready! To prepare for Lesson 6-4, do Exercise 56.

See Lesson 2-4.

56. Two trains run on two sets of parallel tracks. The first train leaves a city 1 2 1 half  h before the second train. The first train travels at 55 mi/h. The second train travels at 65 mi/h. How long does it take for the second train to pass the first train?

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