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Polynomials
Logs and Exponents
Trigonometry
Word Problems
Miscellaneous
100
Factor the following: 16x^2 - 25
(4x + 5)(4x - 5)
100
Write an expression that can be used to tdetermine the value of g in the equation: log base h of 10 = g
log 10 / log h
100
Convert the following radian measurement to degrees: (8/3) rad
152.789 degrees
100
Write a function that models an inequality that will find the highest cost per unit, p, in order for the company below to make a profit. R(p) is the revenue and C(p) is the cost per unit. R(p) = -p^2 + 11p C(p) = 3p
R(p) - C(p) > 0 -p^2 + 11p - 3p > 0
100
Solve the following for x: log base 5 (x + 2) - log base 5 (x) = 7
x = (1 / 62)
200
Divide the following: (k^3 - 4k^2 - 30k - 18) / (k + 3)
k^2 - 7k - 9 + ((9) / (k + 3))
200
What is the inverse of the following function: y = log base 6 of x
y = 6^x
200
Convert the following degree measurement to radians: 210 degrees
7pi / 6
200
The revenue a company generates, R, is a function of their unit price, p. The cost to the company C, to produce each unit is also a function of p. Find the highest cost per unit in order for the company to make a profit. R(p) = -p^2 + 11p C(p) = 3p
R(p) - C(p) > 0 p > 8
200
The graph of the equation y = 2 ^ x passes through which point: a) (1, 0) b) (-1, 0) c) (0, 1) d) (0, -1)
c
300
What is the remainder of the function below when the function is divided by (x + 2)? (See graph done by teacher)
0
300
The x-value of which function's x-intercept is smaller, f or h? f(x) = log (x + 3) h(x) = 2 log (x - 7)
f(x)
300
Solve for x: sin^2(30) + cos^2(2x) = 1
x = 15
300
A scientist is studying the diurnal tide in Cape Cod. Should the scientist focus on the amplitude, period or midline if they want to study the time between the high tides?
The period
300
Simplify the following expression: (-16 +- sqrt(-25)) / (-16)
-1 +- (5i/16)
400
Expand the following: (8n+1)(6n-3)^2
288n^3 - 252n^2 + 36n + 9
400
Write the following as an equivalent radical expression: (5^(4/5))^3
25 times the fifth root of 25
400
Write an equation of a sine function with no horizontal shift, an amplitude of 7, a period of (3pi / 4) and a reflection across the x-axis.
f(x) = -7 sin ((8/3)x)
400
A population of crickets triples every 3 days. The population begins with 20 crickets. If t represents the time in days and C(t) is the population of crickets, how many crickets will there be in 43 days?
137,964,699
400
Simplify the following: xi (i - 3i)^2
-4xi
500
See the teacher for the problem.
-25
500
Simplify the following expression: ((m^3)/(m^1/4))^(-1/3)
1 / (the twelfth root of m to the eleventh)
500
Expand the following: sin (T - 75)
sin T cos 75 - cos T sin 75
500
The speed of a car, s, in miles per hour, can be modeled by the equation s = sqrt(x) + 5x - 7, where x represents the time from the car's origin. Determine the time when s = 0.
x = 1.66 hours
500
Find the value of the following summation for x = 1 to 7, (2x+3).
77