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

x2 * x3

x5

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

(2x2+3x-6) + (x2-3x -7)

3x2 - 13

100

Solve the following: x2 - 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

x6 / x4

x2

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

(4x2 - 3x - 4) - (6x2 -3x +9)

-2x2 - 13

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) / (5x2)

5 / x5

300

You deposit $1600 in a bank account. Find the balance after 3 years for an account paying 2.5% annual interest.

1723.03

300

3(2x2 + 4) - 5x2

x2 +12

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

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