Name ________________________________________ Date ___________________ Class __________________ LESSON 3-3 Practice B Solving Inequalities by Multiplying or Dividing Solve each inequality and graph the solutions. 1. 4a > 32 2. −7y < 21 _________________________________________ 3. 1.5n ≤ −18 ________________________________________ 4. − _________________________________________ 5. y >4 5 ________________________________________ 6. 2s ≤ −3 _________________________________________ 7. − 3 c≥9 8 1 b < −6 3 ________________________________________ 8. _________________________________________ z ≥ −0.25 −8 ________________________________________ Write and solve an inequality for each problem. 9. Phil has a strip of wood trim that is 16 feet long. He needs 5-foot pieces to trim some windows. What are the possible numbers of pieces he can cut? _________________________________________________________________________________________ 10. A teacher buys a 128-ounce bottle of juice and serves it in 5-ounce cups. What are the possible numbers of cups she can fill? _________________________________________________________________________________________ 11. At an online bookstore, Kendra bought 4 copies of the same book for the members of her book club. She got free shipping because her total was at least $50. What was the minimum price of each book? _________________________________________________________________________________________ Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. 3-20 Holt McDougal Algebra 1 4. c ≤ −24 4. Possible answer: 9 t + 5 = −9 t + 5 < −9 5. −14 + 5 = −9 ; −9 = −9 6 b − = 2 b− 6. 8 − 6 = 2; 9 − 2 = 2 −13 + 5 < −9 ; no −8 < −9 6 ≥ 2 6 ≥ 2 ; yes 3 ≥ 2 5. y > 20 6. s ≤ −1.5 LESSON 3–3 7. b > 18 Practice A 1. x ≥ 3 8. z ≤ 2 2. a < 5 9. 5p ≤ 16; p ≤ 3.2; 0, 1, 2, or 3 pieces 10. 5s ≤ 128; s ≤ 25.6; 0 to 25 cups 3. b > 4 11. 4b ≥ 50; b ≥ 12.50; $12.50 each 4. y ≤ −2 Practice C 5. x > −4 3. c ≤ −1 1. a > 17 2. b ≤ −6 2 3 4. x ≥ −14.6 5. y ≥ −7.5 6. z > 5.2 1 7. n < − 8 12 2 8. p > − or p > − 2 5 5 6. k < −3 7. n ≤ 6 9. k ≥ −40 10. −4x ≤ 24; x ≥ −6 8. x ≥ 0 11. x ≥ 3; x ≥ 45 15 12. 2 x ≤ −16; x ≤ −24 3 9. 2b ≤ 15; b ≤ 7.5; 0, 1, 2, 3, 4, 5, 6, or 7 bags 10. 18c ≤ 153; c ≤ 8.5; 0, 1, 2, 3, 4, 5, 6, 7, or 8 CDs Practice B 1. a > 8 13. 12d ≥ 45; d ≥ 3.75; 4 boxes Review for Mastery 2. y > −3 1. x ≥ −6 3. n ≤ −12 Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. A27 Holt McDougal Algebra 1
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