63. Data Collection Mark at least 6 places on a ramp that is at least 6 ft long. For each mark, measure the distance d from the mark to the bottom of the ramp. Measure the time t it takes a ball to roll from each mark to the bottom of the ramp.
    1. Graph the data points (d, t). Connect the points with a smooth curve.
    2. Describe your graph. What function does it resemble?
    3. Is the graph linear? Why or why not?

Standardized Test Prep

GRIDDED RESPONSE

SAT/ACT

64. What is the positive solution of the equation 5.2 x 2 + 3.4 x − 7.3 = 0 ? 5.2 , x squared , plus 3.4 x minus 7.3 equals 0 question mark  Use a graphing calculator. Round your answer to the nearest thousandth.
65. What is the value of the expression 12 ⋅ 5 2 ? square root of 12 dot , fraction 5 , over square root of 2 end fraction , question mark  Round your answer to the nearest tenth.
66. A scientist graphs the results of a chemical reaction as a linear function that passes through the points (4, 1) and ( − 3 , 0 ) . open negative 3 comma 0 close .  What is the slope of the line?

67. The diagram below shows the distance between a new building and its nearest neighbor. The diagram has a scale of 1 in. : 100 ft. What is the actual distance between the buildings, in feet?

    

68. What is the value of the expression | − 4 7 | ÷ ( 3 3 4 − 2 + 4 3 16 ) ? vertical line negative , 4 to the seventh , vertical line divides . open . fraction 3 cubed , over 4 super negative 2 end super end fraction . plus . fraction 4 cubed , over square root of 16 end fraction . close . question mark  Round your answer to the nearest tenth.

Mixed Review

See Lesson 10-4.

Solve each radical equation. Check your solutions.

69. 2 s + 8 = s square root of 2 s plus 8 end root . equals s
70. f = 3 f + 6 square root of f equals . square root of 3 f plus 6 end root
71. 2 r − 3 = r square root of 2 r minus 3 end root . equals r
72. − 3 y = 2 square root of negative 3 y end root , equals 2
73. 2 x = x − 3 2 x equals , square root of x minus 3 end root
74. 2 t = 2 t + 56 2 t equals . square root of 2 t plus 56 end root

See Lesson 8-1.

Simplify each expression.

75. 3 m + 5 + 2 m + 7 3 m plus 5 plus 2 m plus 7
76. ( 8 h 3 + 3 h ) + ( 4 h 3 + 5 h ) open 8 , h cubed , plus 3 h close plus open 4 , h cubed , plus 5 h close
77. ( 9 b + 2 ) − ( 12 b + 8 ) open 9 b plus 2 close minus open 12 b plus 8 close
78. ( 4 a 2 + 3 a + 1 ) − ( 3 a 2 − 6 a ) open 4 , eh squared , plus 3 eh plus 1 close minus open 3 , eh squared , minus 6 eh close
79. ( 24 p + 13 ) + ( 9 p 2 − 12 ) open 24 p plus 13 close plus open 9 , p squared , minus 12 close
80. ( 7 c 5 + 5 c 3 − 1 ) − ( c 5 − 3 c 3 ) open 7 , c to the fifth , plus 5 , c cubed , minus 1 close minus open , c to the fifth , minus 3 , c cubed , close

Get Ready! To prepare for Lesson 10-6, do Exercises 81–83.

See Lesson 2-8.

The figures in each pair are similar. Find the value of x.

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