Exponents/Logarithms
Function Composition
Trigonometric Functions
Vectors and Matrices
Limits
100
log10(10)=?
1
100
If f(x) = 2x + 1 and g(x) = x - 1,
what is f(g(2))?
f(g(2)) = 3
100
Convert 150 degrees to radians.
(5pi)/6
100
Perform the operation:
-2<1, 3> + 3<4, 1>
<10,-3>
100
On the graph, find limx->6+
limx->6+ = 5
200
Convert to exponential form:
log6(1296) = 4
64=1296
200
If f(x) = 2x + 1 and g(x) = x - 1,
what is f(g(-5))?
f(g(-5)) = -11
200
Evaluate sin(135 degrees)
sin(135) = .707
200
Find the dot product shown below:
<-4, 5> o <3, -10>
(-4)(3) + (5)(-10)
= -62
200
On the graph, find limx->6
limx->6 does not exist
300
Solve for x:
log5(x)=2
x=25
300
If f(x) = x2 + 2x + 1 and g(x) = x + 11,
what is g(f(3))?
g(f(3)) = 27
300
If sinA = 12/13, what are the lengths of the opposite side and the hypotenuse?
opposite = 12, hypotenuse = 13
300
If the RREF form matrix is
1 0 0 4
0 1 0 3
0 0 1 -5
what is the values of x, y, and z?
x = 4, y = 3, z = -5
300
On the graph, find limx->-2+
limx->-2+ = infinity
400
Solve for x:
3log4(3x + 1) = 9
x = 21
400
If f(x) = x2 + 2x + 1 and g(x) = x + 11,
what is g(f(x))?
g(f(x)) = x2 + 2x + 12
400
Solve for x:
cos (x + 4) = 1
x = -4
400
Lemonade costs $2, soda costs $4. If I sold a total of 15 drinks and earned $46, how many of each drink did I sell?
Write the augmented matrix representing this situation.
2L + 4S = 46
L + S = 15
So the matrix is:
2 4 46
1 1 15
400
On the graph, find limx->-8
limx->-8 =-6