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CLEP Algebra Test 1
Question 1: For what values of x will (x, y) be a solution of the system of equations below:
y = x
^{2}
+ 3x -3
2x - 1 = y
x = -2 and x = 1
x = 0 and x = 1
x = -2 and x = -1
x = 2 and x = 1
x = -2 and x = 3
Question 2: [(n+2)! - n!]/(n+1)! =
n
n + 1
n + 1 + n/(n+1)
n/(n+1)
(n+1)/n
Question 3: If (a + 2i)/(b - i) is a real number, then:
2a + b = 0
2a + 2b = 0
a + b = 0
a + 2b = 0
3a + 2b = 0
Question 4: For all positive real numbers a,b and x, f(x) = ln(ax
^{b}
).
If f(e) = 1 and f(e
^{2}
) = 4, what is the value of a?
e
^{-1}
e
^{-2}
e
^{2}
+ 1
e
^{-2}
-e
e
^{2}
Question 5: Which of the following graphs could be the correct representation of 2 functions f(x) and g(x) that satisfy the equation g(x) = - f(-x)?