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The set includes calculator and no-calculator sections, with tasks such as selecting the correct linear model from real-world quantities, computing totals from unit conversions and data-rate constraints, and interpreting graphical transformations. It also features multi-step questions using survey tables to determine percentages and likely outcomes across age groups.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/math-sample-questions-heart-of-algebra/266998/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/math-sample-questions-heart-of-algebra/266998.png","ImageObject",300,407,{"name":92,"@type":93},"Aladdin","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-14",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What types of math skills are tested in these SAT sample questions?","Question",{"text":112,"@type":113},"The questions emphasize Heart of Algebra topics such as linear modeling and translating information into equations, along with data analysis skills that use tables and percentages to reach conclusions.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you determine the best linear model in the pressure question?",{"text":117,"@type":113},"Compute the constant rate of pressure increase using the two given depth-pressure points, then find the intercept (pressure at depth 0) to match one of the provided linear equations.",{"name":119,"@type":110,"acceptedAnswer":120},"How are the survey-table questions approached?",{"text":121,"@type":113},"Use the reported voting counts by age group to determine rates or percentages, and when follow-up sampling is involved, combine the follow-up results with the initial survey totals to estimate the most likely statement.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},266998,1789413880,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":52,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":129,"read_time":143},2336478503145,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","SAMPLE SAT MATH QUESTIONS  \nHeart of Algebra  \nCalculator  \n1. When a scientist dives in salt water to a depth of 9 feet below the surface, the pressure due to the atmosphere and surrounding water is 18.7 pounds per square inch. As the scientist descends, the pressure increases linearly. At a depth of 14 feet, the pressure is 20.9 pounds per square inch. If the pressure increases at a constant rate as the scientist’s depth below the surface increases, which of the following linear models best describes the pressure p in pounds per square inch at a depth of d feet below the surface?  \nA) p = 0.44d + 0.77  \nB) p = 0.44d + 14.74  \nC) p = 2.2d – 1.1  \nD) p = 2.2d – 9.9  \nProblem Solving and Data Analysis  \nCalculator  \n2. A typical image taken of the surface of Mars by a camera is 11.2 gigabits in size. A tracking station on Earth can receive data from the spacecra at a data rate of 3 megabits per second for a maximum of 11 hours each day. If  \n1 gigabit equals 1,024 megabits, what is the maximum number of typical images that the tracking station could receive from the camera each day?  \nA) 3  \nB) 10  \nC) 56  \nD) 144  \nHeart of Algebra  \nNo-Calculator  \nLine l is graphed in the xy-plane below.  \nTHE RE DESIGNED SAT  FACILITATOR ’ S GUIDE HANDOUT 49  \nSAMPLE SAT MATH QUESTIONS  \n3. If line l is translated up 5 units and right 7 units, then what is the slope of the new line?  \nA)  \nB)  \nC)  \nD)  \n2  \n5  \n3  \n2  \n8  \n9  \n11  \n14  \nQuestions 4 and 5 refer to the following information.  \nA survey was conducted among a randomly chosen sample of U.S. citizens about U.S. voter participation in the November 2012 presidential election. The table below displays a summary of the survey results.  \nReported Voting by Age (in thousands)  \n\n| VOTED DID NOT VOTE NO RESPONSE TOTAL |  |  |  |  |\n| --- | --- | --- | --- | --- |\n| 18-to 34-year-olds | 30, 329 | 23, 211 | 9,468 | 63,008 |\n| 35-to 54-year-olds | 47,085 | 17,721 | 9,476 | 74, 282 |\n| 55-to 74-year-olds | 43,075 | 10,092 | 6,831 | 59, 998 |\n| People 75 years old and over | 12,459 | 3, 508 | 1,827 | 17,794 |\n| Total 132, 948 54, 532 27,602 215,082 |  |  |  |  |\n\nProblem Solving and Data Analysis  \nCalculator  \n4. Of the 18-to 34-year-olds who reported voting, 500 people were selected at random to do a follow-up survey where they were asked which candidate they voted for. 􀀞ere were 287 people in this follow-up survey sample who said they voted for Candidate A, and the other 213 people voted for someone else. Using the data from both the follow-up survey and the initial survey, which of the following is most likely to be an accurate statement?  \nA) About 123 million people 18 to 34 years old would report voting for Candidate A in the November 2012 presidential election.  \nB) About 76 million people 18 to 34 years old would report voting for Candidate A in the November 2012 presidential election.  \nC) About 36 million people 18 to 34 years old would report voting for Candidate A in the November 2012 presidential election.  \nD) About 17 million people 18 to 34 years old would report voting for Candidate A in the November 2012 presidential election.  \nTHE RE DESIGNED SAT  FACILITATOR ’ S GUIDE HANDOUT 50  \nSAMPLE SAT MATH QUESTIONS  \nProblem Solving and Data Analysis  \nCalculator  \n5. According to the table, for which age group did the greatest percentage of people report that they had voted?  \nA) 18-to 34-year-olds  \nB) 35-to 54-year-olds  \nC) 55-to 74-year-olds  \nD) People 75 years old and over  \nHeart of Algebra  \nCalculator  \n6. 􀀞e toll rates for crossing a bridge are $6 .50 for a car and $10 for a truck.  \nDuring a two-hour period, a total of 187 cars and trucks crossed the bridge, and the total collected in tolls was $1,338. Solving which of the following systems of equations yields the number of cars, x, and the number of trucks, y, that crossed the bridge during the two hours?  \nA) x + y = 1,338  \n6.5x + 10y = 187 B) x + y = 187  \n6.5x + 10y = 1,~~ ~~3238  \nC) x + y = 187  \n6.5x + 10y =","cbCaidGpW8j4LXEy","https://ap.wps.com/l/cbCaidGpW8j4LXEy","pdf",558172,"English","# SAMPLE SAT MATH QUESTIONS\n## Heart of Algebra\n## Problem Solving and Data Analysis\n## No-Calculator\n## Calculator\n# SAMPLE SAT MATH QUESTIONS - ANSWER EXPLANATIONS","[{\"question\":\"What types of math skills are tested in these SAT sample questions?\",\"answer\":\"The questions emphasize Heart of Algebra topics such as linear modeling and translating information into equations, along with data analysis skills that use tables and percentages to reach conclusions.\"},{\"question\":\"How do you determine the best linear model in the pressure question?\",\"answer\":\"Compute the constant rate of pressure increase using the two given depth-pressure points, then find the intercept (pressure at depth 0) to match one of the provided linear equations.\"},{\"question\":\"How are the survey-table questions approached?\",\"answer\":\"Use the reported voting counts by age group to determine rates or percentages, and when follow-up sampling is involved, combine the follow-up results with the initial survey totals to estimate the most likely statement.\"}]","Math Sample Questions - Heart of Algebra | PDF",25]