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​ACT & SAT PRactice

Finding intercepts {ACT}

12/19/2011

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Probability {ACT}

12/14/2011

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If a number is chosen at random from the set {-10, -5, 0, 5, 10}, what is the probability that it is a member of the solution set of both 3x - 2 < 10 and x + 2 > -8?
A.)  0
B.)  1/5
C.)  2/5
D.)  3/5
E.)  4/5

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Rays and collinear points {ACT}

12/11/2011

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Ladder against a building {ACT}

12/9/2011

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A 25-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on concrete 7 feet from the base of the building.  If the top of the ladder slips down 4 feet, then the bottom of the ladder will slide out how many feet?
A.)  4 feet
B.)  5 feet
C.)  6 feet
D.)  7 feet
E.)  8 feet

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Find the measure of the smallest angle {ACT}

12/8/2011

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A.)  18°
B.)  20°
C.)  30°
D.)  36°
E.)  40°

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Solve for the variable {ACT}

12/6/2011

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If √4x = √y, then in terms of y, x = 
A.)  2y
B.)  (√y) / 2
C.)  √y
D.)  y²
E.)  y / 4

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Perpendicular lines {ACT}

12/5/2011

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In the xy-plane, line l is perpendicular to the graph of the function f(x) = 5x - 2.
Line l could be the graph of which of the following functions?
A.)  g(x) = -5x
B.)  g(x) = (-1/5)x
C.)  g(x) = x - 2
D.)  g(x) = (1/5)x
E.)  g(x) = 5x

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Solving simultaneous equations {ACT}

12/3/2011

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If x + y = a and x - y = b, then x = 
A.)  1/2(a + b)
B.)  a + b
C.)  a - b
D.)  1/2ab
E.)  1/2(a - b)

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Slope and perpendicular lines {ACT}

12/2/2011

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Which of the following is the equation of a straight line that has y-intercept 3 and is perpendicular to the line 4x - 2y = 6.
A.)  2y + 3x = - 3
B.)  y + 3x = -2
C.)  2y - x = 6
D.)  y - 2x = 4
E.)  2y + x = 6

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Algebra House
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