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Problems ask learners to choose the correct algebraic expression when quantities increase or decrease by a given percent, such as calorie changes after a 9% increase, phone weight comparisons, sale discounts on monitor and computer prices, hourly wage after a 5% raise, enlarging a square by 8%, and calculating updated gas prices and savings on bulk purchases.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/percent-word-problems-as-decimal-expressions-answer-key/467466/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/percent-word-problems-as-decimal-expressions-answer-key/467466.png","ImageObject",300,407,{"name":42,"@type":43},"Asher","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",10,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How do you find a new value when it increases by a percent?","Question",{"text":63,"@type":64},"Use the original amount multiplied by 1 plus the decimal percent. 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If they increased the size of the bar by 9% which expression can be used to find the new calorie count?\u003Cbr>A. i -0.09 B. i -9 C. 894 × 1.09 D. i -1.09 |  |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  | 1.   |  |  |  |\n| 2) | This years model of a cell phone is 9 percent heavier than last years. This years model weight is represent by w. Which expression can be used to calculate the weight of last years model? |  |  |  |  |  |  | 2.  \u003Cbr>3.   |  |  |  |\n| 3) | A. i -1.09 B. i -9 C. i -0.09 D. i ÷ 1.09 A company was having a sale for 9% off the price of computer monitors. Which expression shows how much money you would save if you bought 32 monitors for z dollars a piece? |  |  |  |  |  |  | 4.  \u003Cbr>5.   |  |  |  |\n| 4) | A. 0.09 × 32z B. z-1.09 C. z-0.09 D. z-9 Joe was earning $6 an hour before his raise. After his 5% raise he was making $6.3 an hour. Which expression shows how his new hourly rate was calculated?\u003Cbr>A. r-1.05 B. r-0.05 C. r-5 D. 6 × 1.05 |  |  |  |  |  |  | 6.  \u003Cbr>7.   |  |  |  |\n| 5) | Oliver drew a square with each side being exactly 11 centimeters long. If he wanted to make the square 8% larger which expression can he use to find the new sides length?\u003Cbr>A. s-8 B. s-0.08 C. 11 × 1.08 D. s-1.08 |  |  |  |  |  |  | 8.  \u003Cbr>9.   |  |  |  |\n| 6) | Over the summer gas prices dropped 2% . Which expression shows the new price of a gallon of gas? (the old price is represented by g)\u003Cbr>A. g-1.02 B. g-0 .02g C. 100g + 0.02 D. g-0.02 |  |  |  |  |  |  | 10.   |  |  |  |\n| 7) | A box of cereal advertised having 50% more marshmallows. The original cereal had y cups of marshmallow. Which expression shows the how many cups of marshmallows the new cereal has? |  |  |  |  |  |  |  |  |  |  |\n| 8) | A. y-1.5 B. 100y + 0.5 C. y + (0 . 5 × y) D. y-0.5 The regular price of a computer was 555 dollars, but over the weekend it'll be on sale for for 11 percent off. Which expression shows the difference in price from normal(n) to sale?\u003Cbr>A. n-0.11 B. n-11 C. n-1.11 D. n × 0.11 |  |  |  |  |  |  |  |  |  |  |\n| 9) | Last year the price of a college textbook(b) was $152. This year the price will be 20% higher. Which expression shows the difference in price from last year to this year?\u003Cbr>A. b-1.2 B. b-20 C. b-0.2 D. b × 0.2 |  |  |  |  |  |  |  |  |  |  |\n| 10) | A mall kiosk needed to buy 44 new cell phone cases at z dollars a piece. Because they were buying so many they got 5% off the price. Which expression shows how much money they saved?\u003Cbr>A. z-1.05 B. 0.05 × 44z C. z-5 D. z-0.05 |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  | 90 | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1)  \n Percent Word Problems as Decimal Expressions Name: Answer Key  \n\n| Determine which expression is the correct answer.\u003Cbr>1) An icecream bar was 894 calories. If they increased the size of the bar by 9% which expression can be used to find the new calorie count? |  |  |  |  |  |  |  | Answers |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  | 1.  C  |  |  |  |  |\n| 2) | A. i -0.09 B. i -9 C. 894 × 1.09 D. i -1.09\u003Cbr>This years model of a cell phone is 9 percent heavier than last years. This years model weight is represent by w. Which expression can be used to calculate the weight of last years model?\u003Cbr>A. i -1.09 B. i -9 C. i -0.09 D. i ÷ 1.09 |  |  |  |  |  |  | 2.\u003Cbr>3.\u003Cbr>4. |  | D |  |  |\n|  |  |  |  |  |  |  |  |  |  | A |  |  |\n|  |  |  |  |  |  |  |  |  |  | D |  |  |\n| 3) | A company was having a sale for 9% off the price of computer monitors. Which expression shows how much money you would save if you bought 32 mon","cbCaifqheUU39aXN","https://ap.wps.com/l/cbCaifqheUU39aXN","pdf",466946,"English","# Determine Correct Expressions\n## Percent Increase and Decrease Questions","[{\"question\":\"How do you find a new value when it increases by a percent?\",\"answer\":\"Use the original amount multiplied by 1 plus the decimal percent. For example, a 9% increase uses multiplication by 1.09.\"},{\"question\":\"How do you find the amount of money saved during a discount?\",\"answer\":\"Set up an expression using the decimal equivalent of the discount rate multiplied by the original total price. The answer key selects the matching choice for each scenario.\"},{\"question\":\"What expression method is used when a quantity decreases by a percent?\",\"answer\":\"Multiply the original amount by 1 minus the decimal percent. For example, a 2% decrease uses 0.98 times the original value.\"}]","Percent Word Problems as Decimal Expressions - Answer Key | PDF",1790772895,76]