Standardized Test Prep

SAT/ACT

54. Which expression can be simplified to x − 1 x − 3 ? fraction x minus 1 , over x minus 3 end fraction . question mark
    1. x 2 − x − 6 x 2 − x − 2 fraction x squared , minus x minus 6 , over x squared , minus x minus 2 end fraction
    2. x 2 − 2 x + 1 x 2 + 2 x − 3 fraction x squared , minus 2 x plus 1 , over x squared , plus 2 x minus 3 end fraction
    3. x 2 − 3 x − 4 x 2 − 7 x + 12 fraction x squared , minus 3 x minus 4 , over x squared , minus 7 x plus 12 end fraction
    4. x 2 − 4 x + 3 x 2 − 6 x + 9 fraction x squared , minus 4 x plus 3 , over x squared , minus 6 x plus 9 end fraction
55. Which is the graph of 4 x 2 − y 2 = 4 ? 4 x squared , minus . y squared , equals 4 question mark
    6. 
    7. 
    8. 
    9. 
56. Which product is NOT equal to 13?
    1. ( 4 + 3 ) ( 4 − 3 ) open , 4 plus square root of 3 , close . open , 4 minus square root of 3 , close
    2. ( 5 − 2 3 ) ( 5 + 2 3 ) open . 5 minus 2 square root of 3 . close . open . 5 plus 2 square root of 3 . close
    3. ( 6 + 23 ) ( 6 − 23 ) open , 6 plus square root of 23 , close . open , 6 minus square root of 23 , close
    4. ( 7 − 6 ) ( 7 + 6 ) open , 7 minus square root of 6 , close . open , 7 plus square root of 6 , close
57. Which function represents exponential growth?
    6. y = 35 x 1.35 y equals 35 , x to the 1.35
    7. y = 35 · ( 0.35 ) x y equals 35 middle dot . open , 0.35 , close to the x
    8. y = 35 · ( 1.35 ) x y equals 35 middle dot . open , 1.35 , close to the x
    9. y = 35 ÷ ( 1.35 ) x y equals 35 divides . open , 1.35 , close to the x

Short Response

58. What is an explicit formula for the sequence 4, 9, 16, 25, 36, …? What is the ninth term in this sequence?

Mixed Review

See Lesson 9-5.

Determine whether each geometric series diverges or converges. If the series converges, state the sum.

59. 1 + 3 + 9 + …
60. 1 + 4 3 + 16 9 + … 1 plus , 4 thirds , plus , 16 over 9 , plus dot dot dot
61. 1 2 + 1 4 + 1 8 + … 1 half , plus , 1 fourth , plus , 1 eighth , plus dot dot dot

See Lesson 5-7.

Expand each binomial.

62. ( x − y ) 3 open x minus y close cubed
63. ( p + q ) 6 open p plus q close to the sixth
64. ( x − 2 ) 4 open x minus 2 close to the fourth
65. ( 3 − x ) 5 open 3 minus x close to the fifth

Get Ready! To prepare for Lesson 10-2, do Exercises 66–69.

See Lesson 2-7.

Make a table of values for each equation. Then graph the equation.

66. y = | x | y equals vertical line x vertical line
67. y = | x | + 3 y equals vertical line x vertical line plus 3
68. y = | x − 2 | y equals vertical line x minus 2 vertical line
69. y = | x + 1 | − 4 y equals vertical line x plus 1 vertical line negative 4

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