Chapter 7 Test ReviewChapter 7 Test Review

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Test TopicsTest Topics

• Solving Systems of EquationsSolving Systems of Equations– GraphingGraphing– Substitution (Partial & Complete)Substitution (Partial & Complete)– EliminationElimination

• Two Strange PuppiesTwo Strange Puppies– 0 = # (parallel lines, no solutions)0 = # (parallel lines, no solutions)– 0 = 0 (same line, infinite solutions)0 = 0 (same line, infinite solutions)

• Systems of InequalitiesSystems of Inequalities

Problem #1: Solve Using Problem #1: Solve Using Complete SubstitutionComplete Substitution

5x + 4y = 325x + 4y = 32

9x – y = 339x – y = 33

(4 , 3)(4 , 3)

Problem #2: Solve Using Problem #2: Solve Using Complete SubstitutionComplete Substitution

5x + 2y = 95x + 2y = 9

x + y = -3x + y = -3

(5 , -8)(5 , -8)

Problem #3: Solve Using Problem #3: Solve Using Partial SubstitutionPartial Substitution

-5x + 3y = 51-5x + 3y = 51

y = 10x - 8y = 10x - 8

(3 , 22)(3 , 22)

Problem #4: Solve Using Problem #4: Solve Using Partial SubstitutionPartial Substitution

2x - y = 242x - y = 24

x – 9 = -yx – 9 = -y

(11 , -2)(11 , -2)

Problem #5: Solve Using Problem #5: Solve Using EliminationElimination

3x + 4y = -13x + 4y = -1

5x - 7y = -705x - 7y = -70

(-7 , 5)(-7 , 5)

Problem #6: Solve Using Problem #6: Solve Using EliminationElimination

-16x + 2y = -2-16x + 2y = -2y = 8x - 1y = 8x - 1

Infinite Solutions Because Infinite Solutions Because they are the same linethey are the same line

Problem #7: Solve Using Problem #7: Solve Using EliminationElimination

-7x + 10y = 11-7x + 10y = 11

-8x + 15y = 34-8x + 15y = 34

(7 , 6)(7 , 6)

Problem #8: Solve the System of Problem #8: Solve the System of Inequalities Inequalities

x > -2x > -2

x + 2y x + 2y << 4 4