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Let z be the miles hiked. Inequality: z ________\u003Cbr>Is a hike of 36 miles a challenge? |  | Answers\u003Cbr>1.  \u003Cbr>2.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) Ajar can hold no more than 60 marbles. Let j be the number of marbles in the jar.\u003Cbr>Inequality: j  \u003Cbr>Can the jar hold 57 marbles? |  | 3.  \u003Cbr>4.   |  |  |  |  |  |  |  |\n| 3) A charity walk gives a prize only to walkers who collect more than 47 dollars in pledges. Let d be the dollars collected.\u003Cbr>Inequality: d  \u003Cbr>Does collecting 47 dollars earn the prize? |  | 5.  \u003Cbr>6.  \u003Cbr>7.   |  |  |  |  |  |  |  |\n| 4) A bus can hold no more than 32 standing riders. Let u be the number of standing riders.\u003Cbr>Inequality: u  \u003Cbr>Can the bus hold 31 standing riders? |  | 8.   |  |  |  |  |  |  |  |\n| 5) A roller coaster requires passengers to be at least 43 years old. Let a be apassenger's age in years.\u003Cbr>Inequality: a  \u003Cbr>Can someone 49 years old ride? |  |  |  |  |  |  |  |  |  |\n| 6) A juice machine runs safely only when filling fewer than 31 bottles per batch. Let j be the number of bottles filled.\u003Cbr>Inequality: j  \u003Cbr>Can the machine fill 31 bottles? |  |  |  |  |  |  |  |  |  |\n| 7) A gift card has less than 19 dollars left on it. Let g be the dollars on the card. Inequality: g  \u003Cbr>Could the card have 23 dollars on it? |  |  |  |  |  |  |  |  |  |\n| 8) A recipe needs to bake at least 49 minutes. Let t be the baking time in minutes. Inequality: t  \u003Cbr>Does baking for 48 minutes meet the requirement? |  |  |  |  |  |  |  |  |  |\n| 1-8 | 88 |  | 75 | 63 | 50 | 38 | 25 | 13 | 0 |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \nWriting and Testing an Inequality  \nName: Answer Key  \n\n| Write an inequality for each situation, then answer the question.\u003Cbr>1) A hiking club counts a trip as a challenge only when it covers more than 33\u003Cbr>miles. Let z be the miles hiked. Inequality: z ________\u003Cbr>Is a hike of 36 miles a challenge? |  | 1.\u003Cbr>2. |  |  | Answers\u003Cbr>z > 33, yes |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  | j ≤ 60, yes |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n| 2) Ajar can hold no more than 60 marbles. Let j be the number of marbles in the jar.\u003Cbr>Inequality: j  \u003Cbr>Can the jar hold 57 marbles? |  | 3.\u003Cbr>4. |  |  | d > 47, no |  |  |  |  |  |\n|  |  |  |  |  | u ≤ 32, yes |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n| 3) A charity walk gives a prize only to walkers who collect more than 47 dollars in pledges. Let d be the dollars collected.\u003Cbr>Inequality: d  \u003Cbr>Does collecting 47 dollars earn the prize? |  | 5.\u003Cbr>6.\u003Cbr>7. |  |  | a ≥ 43, yes |  |  |  |  |  |\n|  |  |  |  |  | j \u003C 31, no |  |  |  |  |  |\n|  |  |  |  |  | g \u003C 19, no |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n| 4) A bus can hold no more than 32 standing riders. Let u be the number of standing riders.\u003Cbr>Inequality: u  \u003Cbr>Can the bus hold 31 standing riders? |  | 8. |  |  | t ≥ 49, no |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n| 5) A roller coaster requires passengers to be at least 43 years old. Let a be apassenger's age in years.\u003Cbr>Inequality: a  \u003Cbr>Can someone 49 years old ride? |  |  |  |  |  |  |  |  |  |  |\n| 6) A juice machine runs safely only when filling fewer than 31 bottles per batch. Let j be the number of bottles filled.\u003Cbr>Inequality: j  \u003Cbr>Can the machine fill 31 bottles? |  |  |  |  |  |  |  |  |  |  |\n| 7) A gift card has less than 19 dollars left on it. Let g be the dollars on the card. Inequality: g  \u003Cbr>Could the card have 23 dollars on it? |  |  |  |  |  |  |  |  |  |  |\n| 8) A recipe needs to bake at least 49 minutes. Let t be the baking time in minutes. Inequality: t  \u003Cbr>Does baking for 48 minutes meet the requirement? | ","cbCaiafAtZXZdXOO","https://ap.wps.com/l/cbCaiafAtZXZdXOO","pdf",42967,"English","# Write an inequality for each situation, then answer the question\n## Problem 1: Hiking club challenge threshold\n## Problem 2: Marbles in a jar capacity\n## Problem 3: Charity walk prize condition\n## Problem 4: Bus standing rider limit\n## Problem 5: Roller coaster age requirement\n## Problem 6: Juice machine bottle limit\n## Problem 7: Gift card remaining balance\n## Problem 8: Recipe baking time requirement","[{\"question\":\"How do you write an inequality from a word problem?\",\"answer\":\"Identify the quantity and the comparison condition (more than, no more than, less than, at least). Then use the correct inequality symbol with the variable representing the quantity.\"},{\"question\":\"What does it mean to “test” an inequality?\",\"answer\":\"Substitute a given value into the inequality and check whether the statement is true. The result determines whether the scenario meets the requirement.\"},{\"question\":\"What inequality symbols are used in these problems?\",\"answer\":\"The worksheet uses strict inequalities (\\u003e, \\u003c) and inclusive inequalities (≥, ≤) depending on whether the problem says more than/less than or at least/no more than.\"}]","Writing and Testing an Inequality - Practice Problems and Answer Key | PDF"]