By CK-12 Foundation

CK-12 Foundation's easy Algebra, quantity 2 of two FlexBook covers the next six chapters:Systems of Equations and Inequalities; Counting tools - introduces scholars to linear structures of equations and inequalities in addition to chance and mixtures. Operations on linear platforms are coated, together with addition, subtraction, multiplication, and department. Exponents and Exponential services - covers extra advanced homes of exponents whilst utilized in features. Exponential decay and development are thought of, as are geometric sequences and medical notation. Polynomials and Factoring; extra on chance - introduces scholars to polynomials and their uncomplicated operations in addition to the method of factoring polynomials, quadratic expressions, and certain items. additionally thought of is likelihood via compound occasions. Quadratic Equations and capabilities - introduces scholars to quadratic equations and diverse equipment of fixing them. additionally thought of is the discriminant and linear, exponential, and quadratic versions. Radicals and Geometry Connections; facts research - covers the concept that of the unconventional and its makes use of in geometry, together with the space and Midpoint formulation and Pythagorean’s Theorem. additionally thought of are tools of studying facts with charts and graphs. Rational Equations and features; records - covers rational features and the operations of rational expressions. scholars discover ways to graph rational features, divide polynomials, and study surveys and samples.

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**Additional resources for CK-12 Basic Algebra, Volume 2**

**Example text**

Solve the following system by substitution. Solve the following systems using elimination. Graph the solution set to each system of inequalities. Write a system of inequalities for the regions below. Yolanda is looking for a new cell phone plan. 08 per text. 99 per month for an 舠everything舡 plan. At how many texts will these two plans charge the same? What advice would you give Yolanda? 3. 9. What are the numbers? Yummy Pie Company sells two kinds of pies: apple and blueberry. 00. 00. What is the cost of one apple pie and 2 blueberry pies?

The first equation in this system is 舠almost舡 solved for . Substitution would be appropriate to solve this system. Using the Substitution Property, replace the variable in the second equation with its algebraic expression in equation #1. You have solved the equation correctly, yet the answer does not make sense. When solving a system of parallel lines, the final equation will be untrue. 舡 A system with no solutions is called an inconsistent system. Consistent Systems Consistent systems, on the contrary, have at least one solution.

Consider the racing example from the previous lesson. Peter and Nadia like to race each other. Peter can run at a speed of 5 feet per second and Nadia can run at a speed of 6 feet per second. To be a good sport, Nadia likes to give Peter a head start of 20 feet. How long does Nadia take to catch up with Peter? At what distance from the start does Nadia catch up with Peter? The two racers' information was translated into two equations. Peter: Nadia: We want to know when the two racers will be the same distance from the start.