If 115% of a number is 460, what is 75% of the number?
300
100
What are the values of θ, between 0 and 2π, when tanθ = -1
3π/4 and 7π/4
100
The Quadratic Formula
What is -b±√b^2-4ac
-------------
2a
100
1+2+3+4+5
What is 15?
100
Which of the following is a value of x that satisfies log x 36 = 2?
6
200
What is the y-intercept of the line in a standard (x,y) coordinate plane that goes through the points (-3,6) and (3,2)?
4
200
Right triangle ABC has a hypotenuse of length 5 and a smallest angle of 30°. Find the lengths of the other two sides. (Hint: Use sine function)
4.33 and 2.5
200
The Point-Slope Form Equation.
What is y-y1 = m(x-x1)
200
9 x 5 - 4 + 3
What is 44?
200
Solve for x in this inequality:
-2x - 6y > 2y - 4
x < -4y + 2
300
What is the amplitude of the function f(x) = 1/2cos(3x + pi)?
1/2
300
List the asymptotes of the graph of tanx from [-2pi, 2pi).
-3pi/2, -pi/2, pi/2, 3pi/2
300
Law of Cosines Formula
What is a^2 = b^2 + c^2 - 2bc • cos(A)
300
(6/2) + 7 x 11 - 9
What is 71?
300
A 5 inch by 7 inch photograph was cut to fit exactly into a 4 inch by 6 inch frame. What is the area, in square inches, of the part of the photograph that was cut off?
11
400
If f(x) = x^2 + x + 5 and g(x) = √x then what is the value of g(4)/f(1)?
2/7
400
Simplify the trig identity:
(sinx)^3 + sinx(cosx)^2
sinx
400
For Pre-Calc: Typical Difference Quotient Formula
For Calc: Limit Notation of Derivative
What is f(x) = f(x + h) - f(x)
---------------
h
OR
f'(x) = lim f(x + h) - f(x)
h->0 ---------------
h
400
sin(pi/2) + (83 x 4)
What is 333?
400
Find the radius of a circle, given that the center is at (2, –3) and the point (–1, –2) lies on the circle.
√10
500
The depth of a pond is 180 cm and is being reduced by 1 cm per week. The depth of a second pond is 160 cm and is being reduced by 1/2 cm per week. If the depths of both ponds continue to be reduced at these constant rates, in about how many weeks will the ponds have the same depth?
40
500
By drawing a picture, prove that (sinx)^2 + (cosx)^2 = 1
Must include triangle on unit circle
500
All three double angle formula possibilities for cos2θ.
(cosθ)^2 - (sinθ)^2
2(cosθ)^2 - 1
1 - 2(sinθ)^2
500
tan(3pi/4) + 72 x 1/2 - 25 - cos(pi/3)
What is 9.5?
500
A finite arithmetic sequence has 7 terms, and the first term is 3/4. What is the difference between the mean and median of the 7 terms?
Hint: Sum of terms = (n(a1+an))/2