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Graphing Systems of Equations Quiz Multiple Choice Identify the choice that best completes the statement or answers the question. What is the solution of the system? Use a graph. ____ 1. y = –x + 1 y = 2x – 2 a. c. y y 4 –4 4 (–1, 0) O 4 –4 x –4 b. d. –4 ____ 2. y = –x + 4 y = 4x – 1 x y 4 O 4 (0.33, –1.33) –4 y –4 O 4 (1, 0) 4 x –4 O (–1, –1) –4 4 x a. c. y y 4 4 (1, 3) (3, 1) –4 4 –4 x –4 b. 4 x 4 x –4 d. y y 4 4 –4 4 –4 x (1.67, –2.67) (–0.6, –3.4) –4 –4 What is the solution of the system? Use a graph. ____ 3. y = 2x + 3 y = 2x – 3 a. c. y y 4 –4 4 –4 no solutions 4 x –4 4 –4 infinitely many solutions x b. d. y y 4 4 (0, 3) –4 4 –4 x 4 (0, –3) –4 –4 (0, –3) (0, 3) Short Answer What is the solution of the system? Use a graph. 4. –4x + 3y = –12 –2x + 3y = –18 y 10 9 8 7 6 5 4 3 2 1 –10 –9 –8 –7 –6 –5 –4 –3 –2 –1 –1 –2 –3 –4 –5 –6 –7 –8 –9 –10 5. 1 2 3 4 5 6 7 8 9 x x y 10 9 8 7 6 5 4 3 2 1 –10 –9 –8 –7 –6 –5 –4 –3 –2 –1 –1 1 2 3 4 5 6 7 8 9 x –2 –3 –4 –5 –6 –7 –8 –9 –10 What is the solution of the system? Use a graph. 6. y = 2x – 2 y + 2 = 2x y 10 9 8 7 6 5 4 3 2 1 –10 –9 –8 –7 –6 –5 –4 –3 –2 –1 –1 –2 –3 –4 –5 –6 –7 –8 –9 –10 1 2 3 4 5 6 7 8 9 x Graphing Systems of Equations Quiz Answer Section MULTIPLE CHOICE 1. ANS: B PTS: 1 DIF: L2 REF: 6-1 Solving Systems By Graphing OBJ: 6-1.1 To solve systems of equations by graphing NAT: CC A.REI.6| A.4.d STA: PA M11.D.2.1.4 TOP: 6-1 Problem 1 Solving a System of Equations by Graphing KEY: system of linear equations | approximate solution of a system of linear equations | consistent | independent 2. ANS: C PTS: 1 DIF: L3 REF: 6-1 Solving Systems By Graphing OBJ: 6-1.1 To solve systems of equations by graphing NAT: CC A.REI.6| A.4.d STA: PA M11.D.2.1.4 TOP: 6-1 Problem 1 Solving a System of Equations by Graphing KEY: consistent | independent | approximate solution of a system of linear equations | system of linear equations 3. ANS: A PTS: 1 DIF: L3 REF: 6-1 Solving Systems By Graphing OBJ: 6-1.2 To analyze special systems NAT: CC A.REI.6| A.4.d STA: PA M11.D.2.1.4 TOP: 6-1 Problem 3 Systems With Infinitely Many Solutions or No Solution KEY: system of linear equations | solution of a system of linear equations | inconsistent SHORT ANSWER 4. ANS: y –4 O x –4 (–3, –8) –8 PTS: 1 DIF: L3 REF: 6-1 Solving Systems By Graphing OBJ: 6-1.1 To solve systems of equations by graphing NAT: CC A.REI.6| A.4.d STA: PA M11.D.2.1.4 TOP: 6-1 Problem 1 Solving a System of Equations by Graphing KEY: consistent | independent | approximate solution of a system of linear equations | system of linear equations 5. ANS: y 4 –4 (–1, –1) 4 x –4 PTS: 1 DIF: L3 REF: 6-1 Solving Systems By Graphing OBJ: 6-1.1 To solve systems of equations by graphing NAT: CC A.REI.6| A.4.d STA: PA M11.D.2.1.4 TOP: 6-1 Problem 1 Solving a System of Equations by Graphing KEY: consistent | independent | approximate solution of a system of linear equations | system of linear equations 6. ANS: y 4 –4 4 x –4 infinitely many solutions PTS: OBJ: STA: TOP: KEY: 1 DIF: L3 REF: 6-1 Solving Systems By Graphing 6-1.2 To analyze special systems NAT: CC A.REI.6| A.4.d PA M11.D.2.1.4 6-1 Problem 3 Systems With Infinitely Many Solutions or No Solution system of linear equations | solution of a system of linear equations | consistent | dependent