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Functions
Exponents
Logarithms
Postulates & Theorems
Sequences
100
Define function.
What is "A relationship between two variables such that for every value of the independent variable, there is at most one value of the dependent variable." Taken from DAA.
100
Define exponent.
What is a "number that gives reference to the repeated multiplication required." Taken from: http://math.about.com/library/ble.htm
100
A logarithm is a(n) __________.
What is an exponent.
100
If two angles are a linear pair, then they are __________.
What is supplementary
100
A function for which the ratio of any two consecutive terms is a constant, called the common ratio, r.
What is a geometric sequence
200
1/x
What is the equation of the reciprocal function
200
Simplify (7 +8)^2
What is 225
200
The change of base formula.
What is log(base b)m = log(base a)m/log(base a)b
200
Complements of congruent angles are _________________.
What is congruent
200
The third term of a geometric sequence with first two terms a and b.
What is (b^2/a).
300
Define one-to-one function.
What is a function in which for every x, there is exactly one y, and for every y, there is exactly one x.
300
Simplify. (2^4 - 2^-3)/8(2^-3)
What is 127/8
300
Solve for x. 2(log(base 4)x) = 2
What is x = 4
300
In a right triangle, the _______ angles are complementary.
What is acute
300
The generic explicit formula for geometric sequences.
What is a(sub n) = a(sub 1) • r^(n-1)
400
Find the inverse of the function f(x) = 4 • 8^(x+3)
What is f^-1(x) = log(base 8)(x/2,048)
400
Solve for n. (17^6n)^2 = (17^2n)^4 • 17^2n-4
What is n = -2
400
Solve for x. 3^(x/log3) = 10,000
What is x = 4
400
Converse of the Corresponding Angles Postulate.
What is "If two coplanar lines are cut by a transversal forming congruent corresponding angles, then the lines are parallel."
400
The eighth term of a geometric sequence 9, -6,...
What is -0.5267
500
The generic formula for compounding interest (define variables).
What is A=P(1 + (r/n))^nt A = Amount P = Principle r = rate n = # of times compounded per year t = # of years
500
Simplify. (16/25)^(-2/3)
What is 125/64
500
Scottish mathematician who invented logarithms in the early 1600's.
Who was John Napier
500
Name two corollaries of the Triangle Sum Theorem.
What is "In a right triangle, the acute angles are complementary." or "Each angle of an equiangular triangle measures 60 degrees." or "If two angles of one triangle are congruent to 2 angles of another triangle, then the third pair of angles must be congruent."
500
The value of x if x, x + 5, x + 20 represents a geometric sequence.
What is x = 5/2