Standardized Test Prep

SAT/ACT

59. Which system of inequalities is shown in the graph?

    

    1. { x ≥ 4 3 x − 2 y > 5 left brace . table with 2 rows and 1 column , row1 column 1 , x greater than or equal to 4 , row2 column 1 , 3 x minus 2 y greater than 5 , end table
    2. { x > 4 3 x − 2 y ≤ 5 left brace . table with 2 rows and 1 column , row1 column 1 , x greater than 4 , row2 column 1 , 3 x minus 2 y less than or equal to 5 , end table
    3. { x < 4 3 x − 2 y ≥ 5 left brace . table with 2 rows and 1 column , row1 column 1 , x less than 4 , row2 column 1 , 3 x minus 2 y greater than or equal to 5 , end table
    4. { x ≤ 4 3 x − 2 y < 5 left brace . table with 2 rows and 1 column , row1 column 1 , x less than or equal to 4 , row2 column 1 , 3 x minus 2 y less than 5 , end table
60. What is the equation of the line that passes through the point ( 4 , − 3 ) open 4 comma negative 3 close  and has slope 1 2 ? 1 half , question mark
    6. y = 1 2 x + 3 y equals , 1 half , x plus 3
    7. y = 1 2 x − 1 y equals , 1 half , x minus 1
    8. y = 1 2 x − 5 y equals , 1 half , x minus 5
    9. y = x − 1 2 y equals x minus , 1 half
61. Which equation is a vertical translation of y = − 5 x ? y equals negative 5 x question mark
    1. y = − 5 2 x y equals negative , 5 halves , x
    2. y = − 5 x + 2 y equals negative 5 x plus 2
    3. y = − 10 x y equals negative 10 x
    4. y = 5 x − 2 y equals 5 x minus 2

Short Response

62. The cost of renting a pool at an aquatic center is either $30 per hour or $20 per hour with a $40 non-refundable deposit. For how many hours is the cost of renting a pool the same for both plans?

Mixed Review

See Lesson 3-2.

Solve each system by elimination or substitution.

63. { y = 3 x + 1 2 x − y = 8 left brace . table with 2 rows and 1 column , row1 column 1 , y equals 3 x plus 1 , row2 column 1 , 2 x minus y equals 8 , end table
64. { 3 x + y = 4 2 x − 4 y = 7 left brace . table with 2 rows and 1 column , row1 column 1 , 3 x plus y equals 4 , row2 column 1 , 2 x minus 4 y equals 7 , end table
65. { − x + 5 y = 3 2 x − 10 y = 4 left brace . table with 2 rows and 1 column , row1 column 1 , negative x plus 5 y equals 3 , row2 column 1 , 2 x minus 10 y equals 4 , end table
66. { 2 x + 4 y = − 8 − 5 x + 4 y = 6 left brace . table with 2 rows and 1 column , row1 column 1 , 2 x plus 4 y equals negative 8 , row2 column 1 , negative 5 x plus 4 y equals 6 , end table
67. { y − 3 = x 4 x + y = − 2 left brace . table with 2 rows and 1 column , row1 column 1 , y minus 3 equals x , row2 column 1 , 4 x plus y equals negative 2 , end table
68. { 2 = 4 y − 3 x 5 x = 2 y − 3 left brace . table with 2 rows and 1 column , row1 column 1 , 2 equals 4 y minus 3 x , row2 column 1 , 5 x equals 2 y minus 3 , end table

Get Ready! To prepare for Lesson 3-4, do Exercises 69–72.

See Lesson 3-3.

Write an ordered pair that is a solution of each system of inequalities.

69. { x + y > 2 3 x + 2 y ≤ 6 left brace . table with 2 rows and 1 column , row1 column 1 , x plus y greater than 2 , row2 column 1 , 3 x plus 2 y less than or equal to 6 , end table
70. { 2 y > 4 3 x + 4 y ≤ 14 left brace . table with 2 rows and 1 column , row1 column 1 , 2 y greater than 4 , row2 column 1 , 3 x plus 4 y less than or equal to 14 , end table
71. { x ≥ 2 5 x + 2 y ≤ 9 left brace . table with 2 rows and 1 column , row1 column 1 , x greater than or equal to 2 , row2 column 1 , 5 x plus 2 y less than or equal to 9 , end table
72. { x + 3 y < 6 y < x left brace . table with 2 rows and 1 column , row1 column 1 , x plus 3 y less than 6 , row2 column 1 , y less than x , end table

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