
Lesson 3 Reteach Write Two-Step Equations
... Define a variable. Then translate each sentence into an equation. Then find each number. 1. Five more than twice a number is 7. 2. Fourteen more than three times a number is 2. 3. Seven less than twice a number is 5. 4. Two more than four times a number is –10. 5. Eight less than three times a numbe ...
... Define a variable. Then translate each sentence into an equation. Then find each number. 1. Five more than twice a number is 7. 2. Fourteen more than three times a number is 2. 3. Seven less than twice a number is 5. 4. Two more than four times a number is –10. 5. Eight less than three times a numbe ...
Name ______ Finite Period ____ 1.1 WS Lines Standard Form
... 14. Dan receives $400 per week for selling new and used cars. In addition, he receives 5% of the profit on any sales he generates. a) Find the linear equation that relates Dan’s weekly salary S when he has sales that generate a profit of x dollars. a) If Dan has sales that generate a profit of $4000 ...
... 14. Dan receives $400 per week for selling new and used cars. In addition, he receives 5% of the profit on any sales he generates. a) Find the linear equation that relates Dan’s weekly salary S when he has sales that generate a profit of x dollars. a) If Dan has sales that generate a profit of $4000 ...
Solving Proportions
... SOLVING Dugopolski, M. (2012). Elementary and intermediate algebra (4th ed.). New York, NY: ...
... SOLVING Dugopolski, M. (2012). Elementary and intermediate algebra (4th ed.). New York, NY: ...
Differential equation

A differential equation is a mathematical equation that relates some function with its derivatives. In applications, the functions usually represent physical quantities, the derivatives represent their rates of change, and the equation defines a relationship between the two. Because such relations are extremely common, differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology.In pure mathematics, differential equations are studied from several different perspectives, mostly concerned with their solutions—the set of functions that satisfy the equation. Only the simplest differential equations are solvable by explicit formulas; however, some properties of solutions of a given differential equation may be determined without finding their exact form.If a self-contained formula for the solution is not available, the solution may be numerically approximated using computers. The theory of dynamical systems puts emphasis on qualitative analysis of systems described by differential equations, while many numerical methods have been developed to determine solutions with a given degree of accuracy.