[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-358988-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-358988-en":131},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","equations-inequalitiesword-problems-b","Equations & Inequalities—Word Problems (B)","","Worksheet focused on writing and solving equations and inequalities for word problems. Students translate real-life situations into algebraic expressions using symbols for sum, difference, product, and quotient, then determine unknown values. Problems include badge totals, basketball scoring, dividing campers into equal groups, splitting a length into sections, and token or score constraints. 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Show all work.  \nRemember: Key words: sum/more than (+), difference/less than (−), product/times (×), quotient/divided (÷) . For  \ninequalities: at least (≥), at most (≤), more than (>), fewer/less than (\u003C) .  \n1. A camper had some badges and earned 18 more. She now has 45 badges.  \nHow many did she have before?  \nEquation / Inequality:   Solution:   2. A basketball player had a score. After losing 14 points in overtime, her score was 9.  \nWhat was her score before?  \nEquation / Inequality:   Solution:   3. A camp counselor divides 72 campers equally into groups of 8. How many groups are there?  \nEquation / Inequality:   Solution:   4. A court 90 feet long is divided into equal 15-foot sections for drills. How many sections are there?  \nEquation / Inequality:   Solution:    \n5. A player scored 31 points in three quarters. After scoring p more in the final quarter, she had 52. How many in the final quarter?  \nEquation / Inequality:    \nSolution:    \n6. A camp has 7 cabins with the same number of campers each.  \nThere are 84 campers total. How many per cabin?  \nEquation / Inequality:   Solution:    \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n7. After missing 11 free throws, a player had made 25. How many total throws did he attempt?  \nEquation / Inequality:    \nSolution:    \n8. A camper earns activity tokens each day. After 9 days she has 63 tokens. How many per day?  \nEquation / Inequality:    \nSolution:  \n______________________  \n9. A camp requires a minimum score of 60 on a swimming test. Write an inequality for a camper's score s.  \nEquation / Inequality:    \nSolution:    \n10. A basketball player needs more than 15 assists this season. She has 9 and gets a more. How many more does she need?  \nEquation / Inequality:    \nSolution:    \n11. A camp van holds at most 12 passengers. There are already 5 adults on board. Write an inequality for campers k.  \nEquation / Inequality:    \nSolution:    \n12. A player's total must be less than 30 for the junior division. He has 18 and scores q more. Write an inequality for q.  \nEquation / Inequality:    \nSolution:  \n______________________  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \nANSWER KEY  \nWord Problems:  \n1.) 1. ) Eq: b + 18 = 45 Sol: b = 27 (45−18=27)  \n2.) 2. ) Eq: s − 14 = 9 Sol: s = 23 (9+14=23)  \n3.) 3. ) Eq: 8g = 72 Sol: g = 9 (72÷8=9)  \n4.) 4. ) Eq: 90 ÷ s = 15 Sol: s = 6 (90÷15=6)  \n5.) 5. ) Eq: 31 + p = 52 Sol: p = 21 (52−31=21)  \n6.) 6. ) Eq: 7c = 84 Sol: c = 12 (84÷7=12)  \n7.) 7. ) Eq: t − 11 = 25 Sol: t = 36 (25+11=36)  \n8.) 8. ) Eq: 9t = 63 Sol: t = 7 (63÷9=7)  \n9.) 9. ) Eq: s ≥ 60 Sol: s ≥ 60 (s must be at least 60)  \n10.) 10. ) Eq: 9 + a > 15 Sol: a > 6 (15−9=6)  \n11.) 11. ) Eq: 5 + k ≤ 12 Sol: k ≤ 7 (12−5=7)  \n12.) 12. ) Eq: 18 + q \u003C 30 Sol: q \u003C 12 (30−18=12)  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)","cbCaicQYNfOyZoZ8","https://ap.wps.com/l/cbCaicQYNfOyZoZ8","pdf",568587,"English","# Directions\n# Word Problems (1-12)\n## Answer Key","[{\"question\":\"What should students do for each problem on the worksheet?\",\"answer\":\"Write an equation or inequality, then solve it and show all work.\"},{\"question\":\"Which inequality words match symbols like ≥, ≤, \\u003e, and \\u003c?\",\"answer\":\"At least (≥), at most (≤), more than (\\u003e), and fewer/less than (\\u003c).\"},{\"question\":\"How does the answer key help students check their work?\",\"answer\":\"It lists each problem’s equation and the final solution value, including how the inequality limits are interpreted.\"}]","Equations & Inequalities—Word Problems (B) | PDF",1790135812]