Algebra 1 - Chapter 5 Test Review
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1 Name: Period: Date: Algebra 1 - Chapter 5 Test Review Tell whether the ordered pair is a solution of the system of linear equations. 1. x y = 5 3x y = 11 Ê 2, 3 ˆ a. Yes b. No 2. y = 6x 8 y = 8x 12 Ê 1, 2 ˆ a. No b. Yes Solve the system of linear equations. Check your solution. 3. y = x + 9 y = x + 11 a. ( 3, 12) b. ( 2, 11) c. ( 1, 10) d. (2, 13) 4. 5x y = 9 2x + y = 6 a. (2, 1) b. (1, 6) c. (0, 6) d. (1, 4) 5. y = x + 6 y = 2x 4 a. (1, 6) b. ( 1, 6) c. (10, 4) d. (10, 16) 6. x 3y = 3 2x 19y = 32 a. (3,2) b. (3,6) c. (3,3) d. (3, 3) 7. 6x + 7y = 194 y = 4x + 50 a. Ê 14,16 ˆ b. Ê 16, 14 ˆ c. Ê 16,14 ˆ d. Ê 14, 16 ˆ 8. x + 6y = 7 6x + 10y = 16 a. ( 13, 1) b. (13,1) c. ( 1, 1) d. (1,1) 1
2 9. 5x 6y = 19 3x + 10y = 5 a. ( 5, 1) b. (13,1) c. ( 13, 1) d. (5, 1) 10. x 3y = 2 3x + 3y = 18 a. ( 10, 4) b. ( 5,1) c. ( 10, 4) d. (5,1) 11. 5x + 4y = 9 4x 4y = 0 a. ( 1, 1) b. (9, 9) c. (1,1) d. (9,9) 12. 2x 6y = 10 6x 6y = 6 a. ( 2, 1) b. ( 2, 1) c. ( 1, 2) d. (1,2) 13. 2x 13 = 3y 5y = 3x 9 a. ( 2, 3) b. (2,3) c. (2, 3) 14. y = 4x + 3 y = 4x 5 a. ( 4, 5) b. ( 4, 3) c. infinitely many solutions d. no solution 15. 8x 8y = 8 8x + 8y = 8 a. ( 3, 4) b. no solution c. ( 3, 4) d. infinitely many solutions 16. 6x + 3y = 18 4x 2y = 12 a. infinitely many solutions b. no solution c. ( 1, 4) d. (3, 12) 17. 3x + 6y = 12 3x + 5y = 11 a. no solution b. ( 2, 1) c. (2, 3) d. infinitely many solutions 18. 2x + 2y = 26 x y = 13 a. infinitely many solutions b. no solution c. (4, 9) d. (9, 4) d. ( 2,3) 2
3 19. 6x + 2y = 42 b. 1.00x y > 35 3x + y = 21 a. (2, 27) b. no solution c. infinitely many solutions d. ( 5, 6) 20. The members of the boosters organization at your high school bought new balls for the school. They spent $26.00 per basketball and $36.00 per football, spending a total of $ They bought 6 more footballs than basketballs. How many of each type of ball did they buy? a. 15 basketballs and 9 footballs c. 1.00x y 35 b. 4 basketballs and 10 footballs c. 10 basketballs and 4 footballs d. 9 basketballs and 15 footballs 21. You have $35 to spend on candy and soda. Candy is $1.00 and soda is $1.50. Assume x represents the amount of candy and y is the amount of sodas purchased. Write and graph the inequality. a. 1.00x y 35 d. 1.00x y < 35 3
4 Write a system of linear inequalities represented by the graph. c. 22. You can work at most 17 hours per week. You need to earn at least $90 to cover your weekly expenses. Your can earn $6.75 an hour walking dogs and $5 an hour washing cars. Assume that x represents the hours worked walking dogs and y represents the hours worked washing cars. Graph a system of linear inequalities that represents this situation. a. d. b. 4
5 a. y 1 7 x 3 y 5 b. y 1 7 x 3 y 5 c. y 1 7 x 3 y 5 d. y < 1 7 x 3 y > 5 a. y 3 2 x y > 1 4 x + 3 b. y 2 3 x y > 1 4 x + 3 c. y 3 2 x y < 1 4 x + 3 d. y 2 3 x y < 1 4 x + 3 5
6 a. y < 1 4 x + 3 y > 1 4 x + 1 b. y < 1 4 x + 3 y > 1 4 x + 1 c. y > 1 4 x + 3 y < 1 4 x + 1 d. y > 1 4 x + 3 a. y 4 5 x 3 x < 1 b. y > 4 5 x 3 x 1 c. y > 4 5 x 3 x 1 d. y 4 5 x 3 x < 1 y < 1 4 x + 1 6
7 ID: A Algebra 1 - Chapter 5 Test Review Answer Section 1. ANS: B PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 5.1 KEY: system of linear equations solution of a system of linear equations checking solutions of systems of 2. ANS: A PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 5.1 KEY: system of linear equations solution of a system of linear equations checking solutions of systems of 3. ANS: C PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 5.1 KEY: system of linear equations solution of a system of linear equations solving systems of linear equations by graphing solving systems of 4. ANS: D PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 5.1 KEY: system of linear equations solution of a system of linear equations solving systems of linear equations by graphing solving systems of 5. ANS: D PTS: 1 DIF: Level 1 REF: Algebra 1 Sec ANS: A PTS: 1 DIF: Level 1 REF: Algebra 1 Sec ANS: B PTS: 1 DIF: Level 1 REF: Algebra 1 Sec ANS: D PTS: 1 DIF: Level 1 REF: Algebra 1 Sec ANS: A PTS: 1 DIF: Level 1 REF: Algebra 1 Sec ANS: D PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 5.3 NAT: HSA-CED.A.3 HSA-REI.C.5 HSA-REI.C.6 KEY: solving systems of linear equations by elimination system of linear equations solving systems of 11. ANS: C PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 5.3 NAT: HSA-CED.A.3 HSA-REI.C.5 HSA-REI.C.6 KEY: solving systems of linear equations by elimination system of linear equations solving systems of 1
8 ID: A 12. ANS: D PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 5.3 NAT: HSA-CED.A.3 HSA-REI.C.5 HSA-REI.C.6 KEY: solving systems of linear equations by elimination system of linear equations solving systems of 13. ANS: C PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 5.3 NAT: HSA-CED.A.3 HSA-REI.C.5 HSA-REI.C.6 KEY: solving systems of linear equations by elimination system of linear equations solving systems of 14. ANS: D PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 5.4 KEY: solving systems of linear equations no solution system of linear equations NOT: Example ANS: B PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 5.4 KEY: solving systems of linear equations no solution system of linear equations NOT: Example ANS: A PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 5.4 KEY: solving systems of linear equations no solution infinitely many solutions system of linear equations NOT: Examples 1 and ANS: B PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 5.4 KEY: solving systems of linear equations system of linear equations NOT: Examples 1 and ANS: A PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 5.4 KEY: solving systems of linear equations infinitely many solutions system of linear equations NOT: Example ANS: C PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 5.4 KEY: solving systems of linear equations infinitely many solutions system of linear equations NOT: Example ANS: D PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 5.2 KEY: application solving systems of linear equations writing systems of linear equations NOT: Example ANS: C PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 5.6 KEY: application linear inequality in two variables graph of a linear inequality in two variables writing linear inequalities in two variables NOT: Example ANS: C PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 5.7 KEY: application system of linear inequalities writing systems of linear inequalities graphing systems of linear inequalities NOT: Example ANS: C PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 5.7 KEY: system of linear inequalities graph of a system of linear inequalities writing systems of linear inequalities NOT: Example 4 2
9 ID: A 24. ANS: A PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 5.7 KEY: system of linear inequalities graph of a system of linear inequalities writing systems of linear inequalities NOT: Examples 4 and ANS: D PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 5.7 KEY: system of linear inequalities graph of a system of linear inequalities writing systems of linear inequalities NOT: Examples 4 and ANS: B PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 5.7 KEY: system of linear inequalities graph of a system of linear inequalities writing systems of linear inequalities NOT: Example 5 3
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