C Challenge

62. Entertainment In the final round of a singing competition, the audience voted for one of the two finalists, Luke or Sean. Luke received 25% more votes than Sean received. Altogether, the two finalists received 5175 votes. How many votes did Luke receive?
63. Weather The equation F = 9 5 C + 32 f equals , 9 fifths c plus 32  relates temperatures on the Celsius and Fahrenheit scales. Does any temperature have the same number reading on both scales? If so, what is the number?

Find the value of a that makes each system a dependent system.

64. { y = 3 x + a 3 x − y = 2 left brace . table with 2 rows and 1 column , row1 column 1 , y equals 3 x plus eh , row2 column 1 , 3 x minus y equals 2 , end table
65. { 3 y = 2 x 6 y − a − 4 x = 0 left brace . table with 2 rows and 1 column , row1 column 1 , 3 y equals 2 x , row2 column 1 , 6 y minus eh minus 4 x equals 0 , end table
66. { y = x 2 + 4 2 y − x = a left brace . table with 2 rows and 1 column , row1 column 1 , y equals , x over 2 , plus 4 , row2 column 1 , 2 y minus x equals eh , end table

Standardized Test Prep

GRIDDED RESPONSE

SAT/ACT

67. What is the slope of the line below?

    

68. What is the x-value of the solution of { x + y = 7 3 x − 2 y = 11 ? left brace . table with 2 rows and 1 column , row1 column 1 , x plus y equals 7 , row2 column 1 , 3 x minus 2 y equals 11 , end table . question mark
69. Solve 9 ( x + 7 ) − 6 ( x − 3 ) = 99 . 9 open x plus 7 close minus 6 open x minus 3 close equals 99 .  What is the value of x?
70. Georgia has only dimes and quarters in her bag. She has a total of 18 coins that are worth $3. How many more dimes than quarters does she have?
71. The graph of g(x) is a horizontal translation of f ( x ) = 2 | x + 1 | + 3 , f open x close equals 2 vertical line x plus 1 vertical line plus 3 comma  5 units to the right. What is the x-value of the vertex of g(x)?

Mixed Review

See Lesson 3-1.

Solve each system of equations by graphing.

72. { y = 3 x + 4 2 y = 6 x − 2 left brace . table with 2 rows and 1 column , row1 column 1 , y equals 3 x plus 4 , row2 column 1 , 2 y equals 6 x minus 2 , end table
73. { − 3 y = 9 x + 1 6 y = − 18 x − 2 left brace . table with 2 rows and 1 column , row1 column 1 , negative 3 y equals 9 x plus 1 , row2 column 1 , 6 y equals negative 18 x minus 2 , end table
74. { 4 x − y = − 5 − 8 x + 2 y = 15 left brace . table with 2 rows and 1 column , row1 column 1 , 4 x minus y equals negative 5 , row2 column 1 , negative 8 x plus 2 y equals 15 , end table

See Lesson 2-1.

Use the vertical line test to determine whether each graph represents a function.

Get Ready! To prepare for Lesson 3-3, do Exercises 78–80.

See Lesson 1-5.

Solve each inequality. Graph the solution.

78. − 3 ( 2 x + 1 ) > 3 negative 3 open 2 x plus 1 close greater than 3
79. 4 x > − 2 4 x greater than negative 2
80. 8 y + 4 < 12 8 y plus 4 less than 12

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