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​​ACT & SAT practice

Inequality involving square root  {ACT}

1/28/2014

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The solution set of √(x - 1) > 5 is the set of all real numbers, x, such that:
A.)  x > 4
B.)  x > 6
C.)  x > 24
D.)  x > 25
E.)  x > 26

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Volume of a cylinder  {ACT}

1/28/2014

 
The formula for the volume of a cylinder with radius r and height h is V = πr²h.  What is the volume, to the nearest cubic inch, of a cylindrical can with a radius of 3 inches and a height of 5 inches?
A.)  707
B.)  444
C.)  236
D.)  188
E.)  141

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Age problem  {ACT}

1/27/2014

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Sergio is twice as old as his daughter Inga, who is three years younger than her brother Nage.  If the sum of their ages is 63, how old is Nage?
A.)  15
B.)  18
C.)  20
D.)  23
E.)  30

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Ratio of males to females {ACT}

1/24/2014

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For the students enrolled at Sunnyside College, the ratio of male students to female students is 5:7.
Which of the following statements, about the students enrolled is (are) true?

I.  For every seven females there are five males
II.  There are more males than females
III.  Males comprise 5/7 of the students enrolled

A.)  I only
B.)  II only
C.)  III only
D.)  II and III only
E.)  I, II, and III

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Find the equivalent expression  {ACT}

1/23/2014

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The expression 7xy - 3x(4x + 2y) is equivalent to:
A.)  xy - 12x²
B.)  2xy - 7x
C.)  8xy - 12x²
D.)  -11xy
E.)  -x²

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Ladder up a wall  {ACT}

1/16/2014

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Picture

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Find the cotangent of the angle {ACT}

1/15/2014

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Picture

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Find the length of carpet needed  {ACT}

1/12/2014

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Picture
The dimensions in the floor plan, pictured above, are measured in feet.  A builder has a roll of carpet 10 feet wide.  What is the minimum length, in feet, of carpet from this roll required to completely carpet the area shown above?
A.)  67
B.)  68
C.)  69
D.)  70
E.)  71

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