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Extra Practice-Alg II Test 1 (3rd Nine Weeks) LT 1.1 I can solve systems of equations by graphing Multiple Choice Identify the choice that best completes the statement or answers the question. ____ ____ 1. a. (1, 1) b. (–1, –1) c. (–1, –1) d. (1, 1) a. (–4, –2) b. (2, 4) c. (–2, –4) d. (4, 2) 2. 1.2 I can solve systems using substitution. Solve the system by substitution. ____ ____ 3. a. (1, 3) b. (–1, –3) c. (–3, –1) d. (3, 1) a. (–4, 2) b. (4, –2) c. (2, –4) d. (–2, 4) 4. 1.3 I can solve systems using elimination. Solve the system using elimination. ____ ____ 5. a. (–3, –1) b. (–1, –3) c. (1, 3) d. (3, 1) a. (2, 1) b. (–2, –1) c. (–1, –2) d. (1, 2) 6. 1.4 I can solve systems of equations with elimination that have unique solutions. What are the solutions of the following systems? ____ ____ 7. a. no solutions b. (3, 5) c. infinitely many solutions d. (0, –5) a. (–1, –3) b. infinitely many solutions c. no solutions d. (1, 3) 8. 1.5 I can solve system of inqualities by graphing. Solve the system of inequalities by graphing. ____ 9. a. c. y –4 –2 y 4 4 2 2 O 2 4 x –4 –2 O –2 –2 –4 –4 2 4 x b. d. y –4 –2 y 4 4 2 2 O 2 4 –4 x –2 O –2 –2 –4 –4 2 4 x ____ 10. a. –6 –4 4 4 2 2 –2 O –2 2 4 6 –4 –6 x –4 –2 O –2 –4 –4 –6 –6 d. y –6 y 6 b. ____ 11. c. y 6 6 4 4 2 2 2 4 6 x 4 6 x 2 4 6 x y 6 –2 O –2 2 –6 –4 –2 O –2 –4 –4 –6 –6 a. c. y –4 –2 4 4 2 2 O 2 4 –2 O –2 –4 –4 d. y –2 –4 x –2 b. –4 y 4 2 2 2 4 –4 x 4 x 2 4 x 2 4 x y 4 O 2 –2 O –2 –2 –4 –4 1.6 I can solve systems of absolute value inequalities by graphing. Solve the system of inequalities by graphing. ____ 12. a. c. y –4 –2 y 4 4 2 2 O 2 4 x –4 –2 O –2 –2 –4 –4 b. d. y –4 –2 y 4 4 2 2 O 2 4 –4 x –2 O –2 –2 –4 –4 2 4 x 2 4 x 2 4 x ____ 13. a. –4 –2 4 2 2 O 2 4 –2 –4 x –2 O –2 –2 –4 –4 d. y –4 y 4 b. ____ 14. c. y y 4 4 2 2 O 2 4 x –4 –2 O –2 –2 –4 –4 a. c. y –4 –2 4 4 2 2 O 2 4 –4 d. 4 2 2 O 2 4 –4 x –2 O –2 –2 –4 –4 in matrix A? a. 8 b. –6 c. 9 d. 4 in matrix A? A= a. 5 b. 4 LT 1.8 I can write a matrix from a system. c. –6 d. 7 2 4 x 2 4 x y 4 A= ____ 16. What is element O –4 ____ 15. LT 1.7 I can identify elements of a matrix. What is element –2 –2 y –2 –4 x –2 b. –4 y How can you represent the system of equations with a matrix? ____ 17. a. c. b. d. a. c. b. d. ____ 18. LT 1.9 I can write a system from a matrix What linear system of equations does the matrix represent? ____ 19. ____ 20. a. c. b. d. a. c. b. d. LT 1.10 I can use a matrix to solve a system of equations. What is the solution of the system? ____ 21. a. (–7, –2) b. (7, 2) c. (7, –2) d. (–2, –7) a. (–8, –8) b. (8, 8) c. (–8, 8) d. (8, 8) ____ 22. What is the solution of the system of equations? (Use a calculator.) ____ 23. a. (2, –4, –3) b. (3, 4, –2) c. (–2, 4, 3) d. (–3, –4, 2) a. (3, 3, –4) b. (–3, –3, 4) c. (–4, 3, 3) d. (4, –3, –3) ____ 24. Extra Practice-Alg II Test 1 (3rd Nine Weeks) Answer Section MULTIPLE CHOICE 1. ANS: REF: OBJ: STA: TOP: DOK: 2. ANS: REF: OBJ: STA: TOP: DOK: 3. ANS: OBJ: STA: TOP: KEY: 4. ANS: OBJ: STA: TOP: KEY: 5. ANS: OBJ: STA: TOP: KEY: 6. ANS: OBJ: STA: TOP: KEY: 7. ANS: OBJ: STA: TOP: KEY: DOK: 8. ANS: OBJ: STA: TOP: KEY: DOK: C PTS: 1 DIF: L2 3-1 Solving Systems Using Tables and Graphs 3-1.1 To solve a linear system using a graph or a table NAT: A.4.d MA-HS-AT-S-EI6| MA-HS-AT-S-EI18 3-1 Problem 1 Using a Graph or Table to Solve a System KEY: system of linear equations | table DOK 2 C PTS: 1 DIF: L2 3-1 Solving Systems Using Tables and Graphs 3-1.1 To solve a linear system using a graph or a table NAT: A.4.d MA-HS-AT-S-EI6| MA-HS-AT-S-EI18 3-1 Problem 1 Using a Graph or Table to Solve a System KEY: system of linear equations | table DOK 2 B PTS: 1 DIF: L2 REF: 3-2 Solving Systems Algebraically 3-2.1 To solve linear systems algebraically NAT: A.4.d MA-HS-AT-S-EI6| MA-HS-AT-S-EI18 3-2 Problem 1 Solving by Substitution system of linear equations | substitution method DOK: DOK 2 D PTS: 1 DIF: L2 REF: 3-2 Solving Systems Algebraically 3-2.1 To solve linear systems algebraically NAT: A.4.d MA-HS-AT-S-EI6| MA-HS-AT-S-EI18 3-2 Problem 1 Solving by Substitution system of linear equations | substitution method DOK: DOK 2 A PTS: 1 DIF: L2 REF: 3-2 Solving Systems Algebraically 3-2.1 To solve linear systems algebraically NAT: A.4.d MA-HS-AT-S-EI6| MA-HS-AT-S-EI18 3-2 Problem 3 Solving by Elimination system of linear equations | solve by elimination DOK: DOK 2 D PTS: 1 DIF: L2 REF: 3-2 Solving Systems Algebraically 3-2.1 To solve linear systems algebraically NAT: A.4.d MA-HS-AT-S-EI6| MA-HS-AT-S-EI18 3-2 Problem 3 Solving by Elimination system of linear equations | solve by elimination DOK: DOK 2 A PTS: 1 DIF: L2 REF: 3-2 Solving Systems Algebraically 3-2.1 To solve linear systems algebraically NAT: A.4.d MA-HS-AT-S-EI6| MA-HS-AT-S-EI18 3-2 Problem 5 Solving Systems Without Unique Solutions system of linear equations | solve by elimination | no solutions DOK 2 B PTS: 1 DIF: L2 REF: 3-2 Solving Systems Algebraically 3-2.1 To solve linear systems algebraically NAT: A.4.d MA-HS-AT-S-EI6| MA-HS-AT-S-EI18 3-2 Problem 5 Solving Systems Without Unique Solutions system of linear equations | solve by elimination | infinite solutions DOK 2 9. ANS: OBJ: STA: KEY: 10. ANS: OBJ: STA: KEY: 11. ANS: OBJ: STA: KEY: 12. ANS: OBJ: STA: KEY: 13. ANS: OBJ: STA: KEY: 14. ANS: OBJ: STA: KEY: 15. ANS: REF: OBJ: NAT: TOP: DOK: 16. ANS: REF: OBJ: NAT: TOP: DOK: 17. ANS: REF: OBJ: NAT: TOP: DOK: 18. ANS: REF: OBJ: NAT: TOP: DOK: 19. ANS: REF: D PTS: 1 DIF: L3 REF: 3-3 Systems of Inequalities 3-3.1 To solve systems of linear inequalities NAT: A.4.d MA-HS-AT-S-EI14 TOP: 3-3 Problem 2 Solving a System by Graphing system of inequalities | graphing DOK: DOK 2 C PTS: 1 DIF: L3 REF: 3-3 Systems of Inequalities 3-3.1 To solve systems of linear inequalities NAT: A.4.d MA-HS-AT-S-EI14 TOP: 3-3 Problem 2 Solving a System by Graphing system of inequalities | graphing DOK: DOK 2 B PTS: 1 DIF: L3 REF: 3-3 Systems of Inequalities 3-3.1 To solve systems of linear inequalities NAT: A.4.d MA-HS-AT-S-EI14 TOP: 3-3 Problem 2 Solving a System by Graphing system of inequalities | graphing DOK: DOK 2 D PTS: 1 DIF: L2 REF: 3-3 Systems of Inequalities 3-3.1 To solve systems of linear inequalities NAT: A.4.d MA-HS-AT-S-EI14 TOP: 3-3 Problem 4 Solving a Linear/Absolute-Value Systems system of inequalities | graphing | absolute value DOK: DOK 2 B PTS: 1 DIF: L3 REF: 3-3 Systems of Inequalities 3-3.1 To solve systems of linear inequalities NAT: A.4.d MA-HS-AT-S-EI14 TOP: 3-3 Problem 4 Solving a Linear/Absolute-Value Systems system of inequalities | graphing | absolute value DOK: DOK 2 A PTS: 1 DIF: L3 REF: 3-3 Systems of Inequalities 3-3.1 To solve systems of linear inequalities NAT: A.4.d MA-HS-AT-S-EI14 TOP: 3-3 Problem 4 Solving a Linear/Absolute-Value Systems system of inequalities | graphing | absolute value DOK: DOK 2 A PTS: 1 DIF: L2 3-6 Solving Systems Using Matrices 3-6.1 To represent a system of linear equations with a matrix A.4.d STA: MA-HS-AT-S-EI6 3-6 Problem 1 Identifying a Matrix Element KEY: matrix DOK 1 A PTS: 1 DIF: L2 3-6 Solving Systems Using Matrices 3-6.1 To represent a system of linear equations with a matrix A.4.d STA: MA-HS-AT-S-EI6 3-6 Problem 1 Identifying a Matrix Element KEY: matrix DOK 1 D PTS: 1 DIF: L2 3-6 Solving Systems Using Matrices 3-6.1 To represent a system of linear equations with a matrix A.4.d STA: MA-HS-AT-S-EI6 3-6 Problem 2 Representing Systems With Matrices KEY: systems of equations | matrices DOK 1 B PTS: 1 DIF: L4 3-6 Solving Systems Using Matrices 3-6.1 To represent a system of linear equations with a matrix A.4.d STA: MA-HS-AT-S-EI6 3-6 Problem 2 Representing Systems With Matrices KEY: systems of equations | matrices DOK 1 B PTS: 1 DIF: L2 3-6 Solving Systems Using Matrices 20. 21. 22. 23. 24. OBJ: NAT: TOP: DOK: ANS: REF: OBJ: NAT: TOP: DOK: ANS: REF: OBJ: NAT: TOP: DOK: ANS: REF: OBJ: NAT: TOP: DOK: ANS: REF: OBJ: NAT: TOP: KEY: ANS: REF: OBJ: NAT: TOP: KEY: 3-6.1 To represent a system of linear equations with a matrix A.4.d STA: MA-HS-AT-S-EI6 3-6 Problem 3 Writing a System From a Matrix KEY: DOK 1 C PTS: 1 DIF: L2 3-6 Solving Systems Using Matrices 3-6.1 To represent a system of linear equations with a matrix A.4.d STA: MA-HS-AT-S-EI6 3-6 Problem 3 Writing a System From a Matrix KEY: DOK 1 A PTS: 1 DIF: L3 3-6 Solving Systems Using Matrices 3-6.2 To solve a system of linear equations using matrices A.4.d STA: MA-HS-AT-S-EI6 3-6 Problem 4 Solving a System Using a Matrix KEY: DOK 2 D PTS: 1 DIF: L3 3-6 Solving Systems Using Matrices 3-6.2 To solve a system of linear equations using matrices A.4.d STA: MA-HS-AT-S-EI6 3-6 Problem 4 Solving a System Using a Matrix KEY: DOK 2 B PTS: 1 DIF: L4 3-6 Solving Systems Using Matrices 3-6.2 To solve a system of linear equations using matrices A.4.d STA: MA-HS-AT-S-EI6 3-6 Problem 5 Using a Calculator to Solve a Linear System systems of equations | matrices DOK: DOK 2 A PTS: 1 DIF: L4 3-6 Solving Systems Using Matrices 3-6.2 To solve a system of linear equations using matrices A.4.d STA: MA-HS-AT-S-EI6 3-6 Problem 5 Using a Calculator to Solve a Linear System systems of equations | matrices DOK: DOK 2 system of equations | matrices systems of equations | matrices systems of equations | matrices systems of equations | matrices