Blog Archives

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

Rays and collinear points {ACT}

12/11/2011

Ladder against a building {ACT}

12/9/2011

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

Find the measure of the smallest angle {ACT}

12/8/2011

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

Solve for the variable {ACT}

12/6/2011

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

Perpendicular lines {ACT}

12/5/2011

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

Solving simultaneous equations {ACT}

12/3/2011

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)

Slope and perpendicular lines {ACT}

12/2/2011

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

Finding intercepts {ACT}

Probability {ACT}