Algebra 2
Geometry
Algebra 1
Statistics
Calculus
100
Simplify: √ 75
What is 5√3?
100
Solve:
In a quadrilateral, three of the interior angles are 85°, 105°, and 90°. What is the measure of the fourth angle?
What is 80°?
100
Write the equation of the line based on the graph:
What is y=-5x/2+4?
100
Solve:
The scores on a test are weighted as follows: Homework = 30%, Midterm = 40%, Final = 30%. A student scores 85 on homework, 90 on the midterm, and 80 on the final. What is their weighted average score?
What is 85.5%?
100
Find the derivative:
f(x)=3x2+5x−7.
What is f′(x)=6x+5?
200
Solve: 3x−4≥5
What is x≥3?
200
Solve:
In a right-angled triangle, the lengths of the two legs are 7 cm and 24 cm. What is the length of the hypotenuse?
What is 25 cm?
200
Find the slope given:
A(2,3) and B(5,11)
What is m=8/3?
200
Probability:
In a class of 40 students, 25 are girls and 15 are boys. 10 of the girls and 5 of the boys play basketball. If a student is selected at random and is known to play basketball, what is the probability that the student is a girl?
What is 66.7%?
200
Find the derivative:
f(x)=(4x3)(5x2)
What is f'(x)=100x4?
300
Solve: x3+2x2-9x-36 = 0
What is x=-2, x=-3, and x=3?
300
Solve:
In a right-angled triangle, one of the angles (other than the right angle) is 30∘ , and the hypotenuse has a length of 10 cm. What is the length of the side opposite the 30∘ angle?
What is 5 cm?
300
Solve:
∣2x−5∣=9.
What is x=7 and x=-2?
300
Solve:
A population has a mean of 100 and a standard deviation of 15. A sample of size 50 is taken from this population. What is the standard error of the sample mean?
What is 2.121?
300
What is 4?
400
You invest $2,500 in an account that earns 6% annual interest, compounded quarterly. How much will the investment be worth after 5 years?
*Hint- Compound Interest
What is $3367.14?
400
Solve:
Find the distance between the points A(3,4) and B(7,1)
*hint - distance formula
What is 5 units?
400
Expand the expression:
(3x2-4)(2x+5x-6)
What is 6x3+7x2-38x+24?
400
Probability:
A coin is flipped 10 times. What is the probability of getting exactly 6 heads?
What is 20.51%
400
Solve:
A balloon is being inflated. The radius of the balloon is increasing at a rate of dr/dt=0.5 cm. At what rate is the volume of the balloon changing when the radius is 10 cm?
Use the formula for the volume of a sphere:
V=(4/3)πr3
What is 200π cm3/s?
500
Solve for the inverse of:
f(x)=√(x+2)-5
What is f-1(x)= x2+10x+23?
500
Solve:
A rectangular prism has dimensions of 4 cm by 5 cm by 7 cm. What is the total surface area of the rectangular prism?
What is 166 cm2?
500
Solve the system of equations for x and y:
2x+y=10
x-y=2
What is x=4 and x=2?
500
Solve:
Given the following data set:
12,14,18,21,22,25,29,31,35,40
Calculate the variance
What is 88.01?
500
Solve:
∫ (3x2+4x−5)dx
What is x3+2x2+5x+c?