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Chapter 7 Review 1.) What are three methods of solving systems of linear equations? a. _____________ b. _____________ c. _____________ 2.) Name the instructors that spoke about the methods from lessons 1, 2, and 3. a. _____________ b. _____________ c. _____________ Lesson 1 3.) A solution to a system of linear equations is an ___________________ that makes every equation in that system true. 4.) What is the solution of the point of intersection for the first example? ( _____ , _____ ) Lesson 2 5.) What are the 4 steps to solving by substitution? a. ___________________________________________________________________ b. ___________________________________________________________________ c. ___________________________________________________________________ d. ___________________________________________________________________ 6.) The instructor solved for (X) in the example which was equal to (-3). They then plugged (X) back into which equation to solve for (Y)? Y=___________ Lesson 3 7.) Use the example and show me how to find the solution by elimination. 3x + y = 12 2x – y = 3. 8.) What was the solution for the second example? ( _____ , _____ ) Lesson 5 9.) What was the equation you had to graph in the example? ______________________ 10.) What was the test point for the example? (_____ , _____ ) Lesson 6 11.) A solution set is the region of ______________________________. 12.) What are the linear inequalities that are graphed in the writing a system of linear inequalities video? a. ________________________ b. ________________________ Practice Solve by graphing 1. y = 3x - 1 y = -2x + 4 2. y = x - 1 y = -x + 7 3. y = 4x + 7 y = -3x Solve by Substitution 1. y = x y = -x + 2 2. y = x + 4 3. y = 3x - 10 y = 3x y= 2x – 5 Solve by Elimination 1. x + 2y = -7 3x - 2y = -3 2. 3x + y = 20 3. 5x + 7y = 77 x + y = 12 5x + 3y = 53