Just the Basics
A triangle has sides of 12 and 9. What is the length of the last side?
What is 15?
Determine the concavity of f(x) = x2 – 2x -15
What is concave up?
Find the inverse of f(x) = 2x-10
f-1(x) = x/2 + 5
Abby has ten times the amount of cookies than she does candy. All together, she has 308 pieces of candy and cookies. How many cookies does she have? How many pieces of candy?
(Please answer is terms of X, being cookies and Y, being candy. (X, Y)).
What is (280, 28)?
Simplify.
(5+3i)(3-4i)
27-11i
Simplify.
y(x-1)(x+1)
What is yx2-y?
or y(x2-1)
Determine the number of solutions and type of solutions for the equation: 4x2 -3x+7.
What is no real solutions, two imaginary solutions?
Given f(x) = 2x2-x-4 and g(x) = x+6: Find ( f*g ) (1).
-27
A person takes out $300 from the bank. The interest is compounded semi-annually by a rate of 7%. It takes him four years to pay off his debt. How much was the total price of his debt?
What is $1,285.47?
Find ∠B in right triangle ABC when b = 2, c = √3, and ∠C = 60°.
What is 90°?
Find the domain and range.
f(x) = -3 + √(x+4)
What is domain: [-4, infinity) range: [-3, infinity)?
Given the function, f(x)=(2-x)(x+3): State the end behavior.
What is both ends go down?
Given f(x) = 2x2-x-4 and g(x) = x+6: Find (g o f)(x).
2x2-x+2
PEMDAS is a tool that people use to remember how to solve problems. In 4 + 7(x-1)2, what is the first step that you do?
Bonus points if you have the answer. (+100).
What is exponents?
Answer:
What is 7x2 - 14x + 11?
Find the derivative.
y = 2x3+10
What is 6x2 ?
Solve the following absolute value equation: 2|x-4|+3=9.
What is x= 1, 7?
Find the sum of the zeros.
3x2 - 9x - 84 = 0
What is 3?
(zeros: -4 and 7)
A person’s weight on the moon is approximately one sixth of the weight on Earth. If a person’s weight on Earth is represented by the variable w, then the function that represents the weight on the moon in terms of the weight on Earth can be given as f(w) = 1/6 w. Find the inverse of the function f(w).
f-1(w)=6w
What are the roots if you are given that one root is 2 and the equation is x3 - 5x + 5 = 2x2 - 5.
What is root 5 and negative root 5?
Find the derivative.
f(x) = cosx
What is -sinx ?
Simplify.
4(a+b)2(a-b)
What is 4(a3 + a2b - ab2 - b3) ?
Alexander’s catapult will launch an object. The equation below describes the height of the object. h(t)= -4.9t2+22t+1 What is the maximum height of the object in meters?
What is 25.7 meters?
A person’s weight on the moon is approximately one sixth of the weight on Earth. If a person’s weight on Earth is represented by the variable w, then the function that represents the weight on the moon in terms of the weight on Earth can be given as f(w) = 1/6 w. Find f-1(30). Interpret the answer. Write your interpretation in a complete sentence.
What is 180?
(If a person weighs 180 in Earth, then that person will weigh 30 on the moon.)
Suzanne wants to invest $20,000 in an account for 25 years at an interest rate of 2.75% compounded continuously. Find the accumulated amount in the account at the end of 25 years.
What is 39,775?
Integrate.
∫ 3x(x2)dx
What is 3x4/4 + C ?