Algebra
If $10,000 is invested at 8%, compounded monthly, how is the investment worth after 5 years? Choose the closest answer.
$15,000
Solve the system: 3x - 2y = 10, 5x + 3y = 23
(4, 1)
A particular right triangle has an acute angle of π/6 radians, and the side opposite this angle has measure 8. What is the hypotenuse of this triangle?
16
The x-intercept of y = 4x - 8 is?
2,0
If f(x) = 2x + 3 and g(x) = x - 5, what is f○g?
2x - 7
What is the period of y = sin 3x?
2π/3
The graph of f(x) = x3 -6x2 + 4x +1 hits the x-axis how many times?
3
The half-life of carbon 14 is 5,730 years. How old is a bone that has 70% of its original carbon 14? Choose the closest answer.
3,000 years
What is the amplitude of y = 4 sin (2x - π/4)?
4
The solutions of x2 -8x + 17 = 0 are?
4 + i and 4 - i
If f(x) = 2x + 3, and g(x) = x2 + x, what is g ○ f?
4x2 + 14x + 12
In radian measure, what is 210 degrees?
7π/6 radians
What kind of system is 2x + y = 3, -6x - 3y = -9?
Dependent
A frog jumps and takes 2 seconds to land. The path of the frog's flight is best modeled by the graph of f(x) = -x2 + 2x. What is the maximum height of the jump?
The correct answer is: 1
f(x) = √(x + 5) + 2, what is the domain of f-1?
[2, ∞)
f(x) = 3x - 5, what is the inverse of f?
x/3 + 5/3
What is the equation of a line through (-1, 4) and (-2,7)?
y = -3x + 1
Solve the system: y = x2 - 5, y = 2x - 2
(-1, -4) and (3, 4)
Solve the system: y = |x|, y = 2x + 3
(-1, 1)
Solve the system: y = e3x , and y = e2x-1
(-1, e-3)
What is the vertex of f(x) = x2 + 3x + 2?
(-3/2, -1/4)
What is the solution to 3x - y = 4, x + 6y = -5?
(1, -1)
Solve the system: y = x2 + 4x - 5, y = 0
(1, 0) and (-5, 0)
Solve the system: x + y + z = 6, 2x - y + z = 3, x + y - z = 0
(1, 2, 3)
Solve the system: 2x + y = 6, -2x + 3y = 5
(13/8, 11/4)
What is the point (3, 3sqrt(3)) in polar coordinates?
(6, π/3)
What are the x-intercepts of f(x) = x2 - 6?
(√6, 0) and (-√6, 0)
Solve for x: (1/2) = 2x + 3
-4
From the formula for sin (2t + t) find sin 3t in terms of sin t
-4 sin3 (t) + 3sin (t)
Let f(x) = x2 - 4, x < 0. What is f-1?
-√(x + 4), x >-4
Solve for x: e2x + 1 = 10.
0.6
What is the exact value of sin (-11π/2)?
1
What is the exact value of the cot (-3π/4)?
1
What, approximately, is log2 12? Choose the closest answer.
4
What type of system is 3x - y = 4, and -6x + 2y = 5?
Inconsistent
What kind of system is y = 3x - 5, 2x + y = 8?
Independent
Solve the system (domain is all real numbers): y = x2 + 5, y = x - 4
No solution
Solve the system: y = x2 - 4, y = 3x - 6
None of these
Use DeMoivre's theorem to find z4, if z is 1 + 1i. Express your answer in complex form.
None of these
If A = (-2, 5) and B = [4,7], A ᴗ B?
The correct answer is: (-2,7]
If f(x) = 2x +1, what is the domain?
The correct answer is: (-∞,∞)
Solve the system: x + y + z = 4, 3x - y + z = 2, y - z = -2
The correct answer is: (0, 1, 3)
Solve the system: x + y + z = 3, 2x - y + 3z = 3, x - 2y + 3z = 0
The correct answer is: (2, 1, 0)
If f (t)=t2 + t, find [ f(t + h) -f (t)]/h.
The correct answer is: 2t + h + 1
What is the domain of f(x) = √(x - 5) / √x ( √ means "the square root of")?
The correct answer is: [5, ∞)
If f(x) = 3x +2 and g(x) = x -4, (f/g)(4) is:
The correct answer is: undefined
What is i^73?
i
What the equation of the line passing through (1,4) and parallel to y = 2x + 1?
y = 2x + 2
In radian measure, what is arcsin (1/2)?
π/6
As x goes to infinity, the graph of f(x) = 5x4 - 173x3 -16x2 -7x -15 goes to (points in) what direction?
∞
