Practice - McGraw-Hill Higher Education
Practice - McGraw-Hill Higher Education Practice - McGraw-Hill Higher Education
5-2NAME______________________________________________ DATE______________ PERIOD _____PracticeSubstitutionUse substitution to solve each system of equations. If the system does not haveexactly one solution, state whether it has no solution or infinitely many solutions.1. y 6x 2. x 3y 3. x 2y 72x 3y 20 3x 5y 12 x y 44. y 2x 2 5. y 2x 6 6. 3x y 12y x 2 2x y 2 y x 27. x 2y 13 8. x 2y 3 9. x 5y 362x 3y 18 4x 8y 12 2x y 1610. 2x 3y 24 11. x 14y 84 12. 0.3x 0.2y 0.5x 6y 18 2x 7y 7 x 2y 5113. 0.5x 4y 1 14. 3x 2y 11 15. x 2y 122x 2.5y 3.51x 2 y 4 x 2y 6116. x y 3 17. 4x 5y 7 18. x 3y 43y 5x 2x 6y 52x y 25Lesson 5-2Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.EMPLOYMENT For Exercises 19–21, use the following information.Kenisha sells athletic shoes part-time at a department store. She can earn either $500 permonth plus a 4% commission on her total sales, or $400 per month plus a 5% commission ontotal sales.19. Write a system of equations to represent the situation.20. What is the total price of the athletic shoes Kenisha needs to sell to earn the sameincome from each pay scale?21. Which is the better offer?MOVIE TICKETS For Exercises 22 and 23, use the following information.Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased8 tickets for $52.75.22. Write a system of equations to represent the situation.23. How many adult tickets and student tickets were purchased?Chapter 5 17 Glencoe Algebra 1
5-3NAME______________________________________________ DATE______________ PERIOD _____PracticeElimination Using Addition and SubtractionUse elimination to solve each system of equations.1. x y 1 2. p q 2 3. 4x y 23x y 9 p q 8 3x y 124. 2x 5y 3 5. 3x 2y 1 6. 5x 3y 222x 2y 6 4x 2y 6 5x 2y 27. 5x 2y 7 8. 3x 9y 12 9. 4c 2d 22x 2y 14 3x 15y 6 2c 2d 1410. 2x 6y 6 11. 7x 2y 2 12. 4.25x 1.28y 9.22x 3y 24 7x 2y 30 x 1.28y 17.613. 2x 4y 10 14. 2.5x y 10.7 15. 6m 8n 3x 4y 2.5 2.5x 2y 12.9 2m 8n 31 43 116. 4a b 2 17. x y 2 18. x 2 y 83 344a 3b 101 23 1x y 4 x y 193 32 219. The sum of two numbers is 41 and their difference is 5. What are the numbers?20. Four times one number added to another number is 36. Three times the first numberminus the other number is 20. Find the numbers.21. One number added to three times another number is 24. Five times the first numberadded to three times the other number is 36. Find the numbers.22. LANGUAGES English is spoken as the first or primary language in 78 more countriesthan Farsi is spoken as the first language. Together, English and Farsi are spoken as afirst language in 130 countries. In how many countries is English spoken as the firstlanguage? In how many countries is Farsi spoken as the first language?Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.23. DISCOUNTS At a sale on winter clothing, Cody bought two pairs of gloves and four hatsfor $43.00. Tori bought two pairs of gloves and two hats for $30.00. What were the pricesfor the gloves and hats?Chapter 5 24 Glencoe Algebra 1
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5-2NAME______________________________________________ DATE______________ PERIOD _____<strong>Practice</strong>SubstitutionUse substitution to solve each system of equations. If the system does not haveexactly one solution, state whether it has no solution or infinitely many solutions.1. y 6x 2. x 3y 3. x 2y 72x 3y 20 3x 5y 12 x y 44. y 2x 2 5. y 2x 6 6. 3x y 12y x 2 2x y 2 y x 27. x 2y 13 8. x 2y 3 9. x 5y 362x 3y 18 4x 8y 12 2x y 1610. 2x 3y 24 11. x 14y 84 12. 0.3x 0.2y 0.5x 6y 18 2x 7y 7 x 2y 5113. 0.5x 4y 1 14. 3x 2y 11 15. x 2y 122x 2.5y 3.51x 2 y 4 x 2y 6116. x y 3 17. 4x 5y 7 18. x 3y 43y 5x 2x 6y 52x y 25Lesson 5-2Copyright © Glencoe/<strong>McGraw</strong>-<strong>Hill</strong>, a division of The <strong>McGraw</strong>-<strong>Hill</strong> Companies, Inc.EMPLOYMENT For Exercises 19–21, use the following information.Kenisha sells athletic shoes part-time at a department store. She can earn either $500 permonth plus a 4% commission on her total sales, or $400 per month plus a 5% commission ontotal sales.19. Write a system of equations to represent the situation.20. What is the total price of the athletic shoes Kenisha needs to sell to earn the sameincome from each pay scale?21. Which is the better offer?MOVIE TICKETS For Exercises 22 and 23, use the following information.Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased8 tickets for $52.75.22. Write a system of equations to represent the situation.23. How many adult tickets and student tickets were purchased?Chapter 5 17 Glencoe Algebra 1
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