Algebra
Simplify the expression: 5x-2y+3x+2y
8x
What is the center and radius of the circle indicated by the equation?: (x−2)2 + y2 = 36
(2,0), r=6
If cos(x)=3/5 and sin(x)=4/5, then what is tan(x)?
4/3
y = x9 + 12, Find dy/dx
dy/dx = 9x8
What is the median of this data set:
5 5 1 10 5 2 1 1 2 3 3 2 1 4 2 1 2 1 9 3
2
What are the solutions to y=x2+x−6 ?
x = -3, x = 2
Solve for x: log232= x
x = 5
sin2(43°) + cos2(43°) = ?
1
A function f is defined by f(x)=|x + 4|. For what value(s) of x is the graph of f not differentiable?
x = -4
For her calculus class, Marie has scored 88, 78, and 95 on three of her tests so far. What is the minimum score Marie needs to receive on her 4th test in order to have an average of 90?
99
How many terms are in this expression: 2y-3+2-5x
Find the vertex (x,y) for a parabola with equation: y=3x2−6x+1
(1,-2)
cos(90°) + sin(30°) = ?
1/2
y = (x4 + 2)2, Find dy/dx
8x3(x4 + 2) or 8x7 + 16x3
The class average in a class of 15 is 86%. If one additional student earns a 100% in the class, what is the new class average?
86.875%
Rony earns 17 dollars less than half of what John earns. If John earns p dollars, how much does Rony earn in dollars?
(p/2) - 17
What is the domain of the function below:
f(x) = 1/(4√(x2+1) - (1/2))
all real numbers
cot(pi+x) = ?
cot(x)
y = x3sin(3x), Find dy/dx
3x2(sin(3x) + xcos(3x))
A card is drawn randomly from a deck of ordinary playing cards. You win $10 if the card is a spade or an ace. What is the probability that you will win the game? (Hint: There are 52 cards in an ordinary deck)
16/52 or 4/13
Given the points (-1, 3) and (2 , 2), find the slope m.
A function is defined by the following rational equation: f(x)=(x+2)/(2x+5)
What are the horizontal and vertical asymptotes of this function's graph?
H: y=1/2, V: x=-5/2
cos(8pi/3) = ?
-1/2
0∫2 2x(x2 + 4)2 dx (doesn't have to be simplified)
(83-43)/3 or 448/3
A coin is tossed three times. What is the probability that it lands on heads exactly one time?
0.375