Algebra
5x-3+2x+9
7x+6
What is the area of a triangle with base 10 and height 6?
30
Roll a dice. Probability of rolling a number less than 4.
3/6=1/2
Evaluate: cos(π/3)
1/2
3(x-4)=18
x=10
A regular pentagon has side length 7. What is its perimeter?
35
A dataset is multiplied by 4.
How does the mean change?
It is multiplied by 4
A bag has 5 red, 3 blue, 2 green.
Probability of green?
1/5
Simplify: log(100)+log(1000)
5
Find the slope of the line through points (2,5) and (6,17)
Slope = 3
Find the circumference.
14π
You roll a dice 60 times and get 11 sixes.
What is the experimental probability of rolling a six?
11/60
Two dices are rolled.
Probability of getting a sum of 9
4/36=1/9
Find the derivative: f(x)=1/x
f(x)=-1/x2
Factor completely: 2x2-11x+15
(2x-5)(x-3)
A regular hexagon has side length 6
Find its area.
54√3
Given: mean=80, standard deviation=6, x=92.
Find the z-score.
2
You flip 3 fair coins.
Probability of at least two heads.
Evaluate the limit: lim (√x-2/x-4)
x-->4
1/4
Solve the system:
{2x+y=9
{3x-y=4
x=13/5
y=17/5
A right triangle as area 30 and one leg is 10.
Find the other leg.
6
The interquartile range(IQR) of a dataset is 12.
If you multiply every value by -3, what is the new IQR?
36
A 3-letter code uses A-Z with no repeats.
Probability a random codę starts with a vowel.
Favorable=5 choices
Total= 26
Probability=5/26
Solve: 2cos(x)-1=0 on [0,2π]
cos(x)=1/2
Solutions: x= π/3, 5π/3