Algebra
What is x equal to?
x=17
An angle is 74 degrees. How is it classified?
Acute
If the opposite side of an angle is 3, and the adjacent side is 4, what is the tangent of that angle?
tan = opp/adj
tan = 3/4
You have 12 blue chips, 10 yellow chips, and 6 red chips. What are the odds that you pull out a yellow chip?
10/28 = 5/14
sin(x)
Simplify this expression
4(5x-3)+7(x+4)
20x-12+7x+28
27x+16
How many sides does a septagon have?
What is the simplified value of sin^2(x)+cos^2(x)
1
Find the mean of this data set
7,9,14,3,8,5
46/6 = 23/3 = 7.6666
Solve: lim x->3 (9x^2)/x+7
81/10
Solve the system of equations
2x+y=18
4x-y=24
x = 7
y = 4
What do all the angles in a dodecagon (12 sides) add up to?
1800
What is the cos and sin values of 5pi/4?
cos(5pi/4) = -root(2)/2
sin(5pi/4) = -root(2)/2
What is the probability that you roll a 7 with two 6-sided dice?
6/36 = 1/36
lim x->1 (2x^2 - 2)/(x-1) what is x? (Hint: use L'Hopital's rule)
2-2/1-1 = 0/0
By L'H
lim x->1 4x = 4
(3x+7)/4) = (x/5) solve for x
15x+35=4x
11x=-35
x=-35/11
What is the name of an angle that is greater than 180 degrees, but less than 360 degrees?
Reflex angle
adjacent side = 8
opposite side = 6
hypotenuse = 10
find the sin, cos, and tan values
sin = 6/10 = 3/5
cos = 8/10 = 4/5
tan = 6/8 = 3/4
There are 5 pennies and 5 dimes in a bag. What is the possibility that you pull out 2 pennies consecutively, WITHOUT putting the first penny back into the bag?
1/10 x 1/9 = 1/90
What is the integral of (2x^5 - 8x^3 + 14)
(2x^6)/6 - 2x^4 + 14x
Find one of the solutions to the equation
2x+5y=43
(-1,9)
(4,7)
(9,5)
(14,3)
What is the name of a 17 sided shape?
Heptadecagon
what is the cot(11pi/6)
-root(3)
There are 5 pennies and 5 dimes in a bag. What is the possibility that you pull out 2 pennies consecutively, WITHOUT putting the first penny back into the bag?
5/10 x 4/9 = 20/90 = 10/45
Given f(x)=(3x^2 - 4x + 5)^2 find f'(1)
f'(1)=16