6 Chapter Review

Connecting BIG ideas and Answering the Essential Questions

1 Solving Equations and Inequalities There are several ways to solve systems of equations and inequalities, including graphing and using equivalent forms of equations and inequalities within the system. The number of solutions depends on the type of system.	Solving Systems of Equations (Lessons 6-1, 6-2, and 6-3) Image Long Description y = x y equals x y = − 3 x − 4 y equals , minus 3 , x minus 4 The solution is ( − 1 , − 1 ) . open negative 1 comma negative 1 close . Linear Inequalities (Lessons 6-5 and 6-6)
2 Modeling You can represent many real-world mathematical problems algebraically. When you need to find two unknowns, you may be able to write and solve a system of equations.	Applying Linear Systems (Lesson 6-4)

Chapter Vocabulary

• consistent (p. 361)
• dependent (p. 361)
• elimination method (p. 374)
• inconsistent (p. 361)
• independent (p. 361)
• linear inequality (p. 390)
• solution of an inequality (p. 390)
• solution of a system of linear equations (p. 360)
• solution of a system of linear inequalities (p. 396)
• substitution method (p. 368)
• system of linear equations (p. 360)
• system of linear inequalities (p. 396)

Choose the correct term to complete each sentence.

1. A system of equations that has no solution is said to be ___?___.
2. You can solve a system of equations by adding or subtracting the equations in such a way that one variable drops out. This is called the ___?___ method.
3. Two or more linear equations together form a(n) ___?___.

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