Standardized Test Prep

SAT/ACT

GRIDDED RESPONSE

54. The time it takes to chalk a baseball diamond varies directly with the length of the side of the diamond. If it takes 10 minutes to chalk a little league diamond with 60 ft sides, how long will it take to chalk a major league baseball diamond with 90 ft sides?
55. What is the x-value of the vertex of the quadratic function y = − 5 x 2 + 4 7 ? y equals negative 5 , x squared , plus , 4 sevenths , question mark
56. Sarah works as a nanny and charges different rates for working during the week and the weekend. One week, she earned $902.50 working 45 hours, of which 5 hours were during the weekend. The following week she earned $1045 working 50 hours, of which 10 hours were during the weekend. What does Sarah charge per hour, in dollars, for working during the week?

Mixed Review

See Lesson 1-4.

Solve each equation.

57. 0 . 6 ( y + 2 ) − 0 . 2 ( 2 − y ) = 1 0 . 6 open y plus 2 close minus 0 . 2 open 2 minus y close equals 1
58. 3 ( a + 4 ) + 2 ( a − 1 ) = a 3 open eh plus 4 close plus 2 open eh minus 1 close equals eh

See Lessons 3-2 and 3-6.

For each system, choose the method of solving that seems easier to use. Explain why you made each choice. Solve each system.

59. { 3 x − 5 y = 26 − 2 x − 3 y = − 11 left brace . table with 2 rows and 2 columns , row1 column 1 , 3 x minus 5 y , column 2 equals 26 , row2 column 1 , negative 2 x minus 3 y , column 2 equals negative 11 , end table
60. { y = 2 3 x − 3 − x + 3 y = 18 left brace . table with 2 rows and 1 column , row1 column 1 , y equals , 2 thirds , x minus 3 , row2 column 1 , negative x plus 3 y equals 18 , end table
61. { 2 m + 3 n = 12 − 5 m + n = − 13 left brace . table with 2 rows and 2 columns , row1 column 1 , 2 m plus 3 n , column 2 equals 12 , row2 column 1 , negative 5 m plus n , column 2 equals negative 13 , end table

Get Ready! To prepare for Lesson 4-3, do Exercises 62–70

See Lesson 4-2.

Identify the vertex, the axis of symmetry, the maximum or minimum value, and the domain and range of each function.

62. y = 2 ( x + 2 ) 2 − 1 y equals 2 open x plus 2 , close squared , minus 1
63. y = − ( x − 1 ) 2 + 3 y equals negative open x minus 1 , close squared , plus 3
64. y = 1 2 ( x − 3 ) 2 − 2 y equals , 1 half , open x minus 3 , close squared , minus 2
65. y = − 2 5 ( x + 3 ) 2 + 5 y equals negative , 2 fifths , open x plus 3 , close squared , plus 5
66. y = 3 ( x + 4 ) 2 y equals 3 open x plus 4 , close squared
67. y = − 7 ( x − 4 ) 2 + 6 y equals negative 7 open x minus 4 , close squared , plus 6

See Lesson 4-1.

Write an equation in vertex form for each parabola.

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