Standardized Test Prep

SAT/ACT

55. Which graph shows the solution of the following system? { 4 x + y = 1 x + 4 y = − 11 left brace . table with 2 rows and 1 column , row1 column 1 , 4 x plus y equals 1 , row2 column 1 , x plus 4 y equals negative 11 , end table

    1. 
    2. 
    3. 
    4. 

56. Which is the equation of a line that is perpendicular to the line in the graph?

    

    6. y = − 3 x + 2 y equals negative 3 x plus 2
    7. y = 1 3 x + 5 y equals , 1 third , x plus 5
    8. y = − 1 3 x − 4 y equals negative , 1 third , x minus 4
    9. y = 3 x − 1 y equals 3 x minus 1

57. Which inequality represents the graph below?

    

    1. y ≥ 1 2 | x | + 1 y greater than or equal to , 1 half , vertical line x vertical line plus 1
    2. y ≤ 1 2 | x | + 1 y less than or equal to , 1 half , vertical line x vertical line plus 1
    3. y > 1 2 | x | + 1 y greater than , 1 half , vertical line x vertical line plus 1
    4. y < 1 2 | x | + 1 y less than , 1 half , vertical line x vertical line plus 1

Extended Response

58. Amy ordered prints of a total of 6 photographs in two different sizes, 5 × 7 5 times 7  and 4 × 6 , 4 times 6 comma  from an online site. She paid $7.50 for her order. The cost of a 5 × 7 5 times 7  print is $1.75 and the cost of a 4 × 6 4 times 6  print is $.25. Explain how to solve a system of equations using tables to find the number of 4 × 6 4 times 6  prints Amy ordered.

Mixed Review

See Lesson 2-8.

Graph each inequality on a coordinate plane.

59. 3 x − 4 y ≥ 16 3 x minus 4 y greater than or equal to 16
60. − 5 x > 8 y + 4 negative 5 x greater than 8 y plus 4
61. x < − 4 x less than , minus 4

See Lesson 1-5.

Solve each inequality. Check your solution.

62. 3 n < − 4 ( 2 + n ) 3 n less than negative 4 open 2 plus n close
63. x 3 + 5 ≥ 1 6 x over 3 , plus 5 greater than or equal to , 1 sixth
64. 4 x − 2 > 1 2 4 x minus 2 greater than , 1 half

See Lesson 2-3.

Find the slope of the line through each pair of points.

65. ( − 2 , − 4 ) open negative 2 comma negative 4 close  and (1, 2)
66. (0, 0) and ( 5 , − 3 ) open 5 comma negative 3 close
67. (1, 3) and (4, 9)

See Lesson 1-3.

Get Ready! To prepare for Lesson 3-2, do Exercises 68 and 69.

68. What is the value of a + b − 2 c eh plus b minus 2 c  for a = 3, b = 1, and c = − 3 ? c equals negative 3 question mark
69. Substitute − 3 negative 3  for x in each of the following equations. What is the value of y?
    1. y = 2 x + 3 y equals 2 x plus 3
    2. y = − x + 5 y equals negative x plus 5
    3. y = 3 x − 1 y equals 3 x minus 1

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