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​​ACT & SAT practice

Solve the absolute value equation  {ACT}

2/23/2014

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If |x + 1| = 6, what are the possible values for x?
A.)  -5 and 7
B.)  -1 and 1
C.)  5 and -7
D.)  5 and -5
E.)  5 and 7

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Identify the coefficient of x, in a quadratic equation  {ACT}

2/22/2014

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In the equation x² + mx + n = 0, m and n are integers.  The only possible value for x is -3.  What is the value of m?
A.)  3
B.)  -3
C.)  6
D.)  -6
E.)  9

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Purchasing firewood  {ACT}

2/22/2014

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On the way to a family camping weekend, the Estradas stopped at a roadside stand to purchase firewood.  The stand sold bundles of pine firewood for $2 per bundle and bundles of hickory firewood for $4 per bundle.  The Estradas purchased a total of 25 bundles of pine firewood and hickory firewood for $66.  How many bundles of pine firewood did the Estradas purchase?
A.)  8
B.)  11
C.)  17
D.)  21
E.)  22

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Simplify the rational expression {ACT}

2/21/2014

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(x - 9)²
---------  = ? , for x ≠ 81
x² - 81


A.)  x - 9
      -------
      x + 9



B.)     1
       ------
       x - 9

C.)     1
       -------
        x + 9

D.)  - 1/9

E.)  1/9

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Evaluate the function  {ACT}

2/7/2014

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If g(x) = (x² + 3x - 5)(2x + 4),  what is the value of g(-3)?
A.)  -50
B.)  -46
C.)  -10
D.)  10
E.)  46

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Evaluate for the variable  {ACT}

2/3/2014

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For what value of x is  62 + 15 = x + 22  true?
A.)  45
B.)  55
C.)  65
D.)  69
E.)  99

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Diameter of a circle   {ACT}

2/1/2014

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If a circle's area is 16π, what is the length, in centimeters, of its diameter?
A.)  2
B.)  4
C.)  8
D.)  16
E.)  32

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