Show:
System of Equations
Exponents
Exponential Functions
Polynomials
Quadratics
100
The sum of two different numbers is 120 and their difference is 6. What are the two numbers?
63 and 57
100
x^2 * x^3
x^5
100
Find a bank account balance if the account starts with $100, has an annual rate of 4%, and the money left in the account for 12 years.
$160.10
100
What is the degree of the following monomial? x^2*y^3*z^2
7
100
Solve the following: x^2 - x - 20 = 0
x = -4 and x = 5
200
Sharon has some one-dollar bills and some five-dollar bills. She has 14 bills. The value of the bills is $30. Solve a system of equations using elimination to find how many of each kind of bill she has.
10 one dollar bills 4 five dollar bills
200
x^6 / x^4
x^2
200
During normal breathing, about 12% of the air in the lungs is replaced after one breath. Write an exponential decay model for the amount of the original air left in the lungs if the initial amount of air in the lungs is 500 mL. How much of the original air is present after 240 breaths?
2.37 x 10^-11
200
Name the following polynomial based on its degree and number of terms. 4x^2 - 5x + 3x - 2x^2
2nd degree binomial
200
The area of a square is 32 square feet. Find the length of each side of the square.
About 5.66 feet
300
At a high school championship basketball game 1200 tickets were sold. Student tickets cost $1.50 each and adult tickets cost $5.00 each. The total revenue collected for the game was $3200. How many student tickets were sold? How many adult tickets were sold?
800 Student tickets 400 Adult Tickets
300
(25x^-3) / (5x^2)
5 / x^5
300
You deposit $1600 in a bank account. Find the balance after 3 years for an account paying 2.5% annual interest compounded monthly.
1724.48
300
Simplify (4x^2 + 3) + (5x^2 - 7)
9x^2 - 4
300
The length of a rectangle is 2 less than 3 times its width. If the area measures 65 square meters find the dimensions of the rectangle.
Width = 5 meters Length = 13 meters