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Units include Heart of Algebra (linear expressions and equations, inequalities, linear functions, systems of inequalities and equations) and Problem Solving and Data Analysis (ratios, rates, proportional reasoning, percentages, measurement and unit conversions). It also includes interpreting scatterplots with models, connecting algebra and graphs, comparing linear versus exponential growth, and using tables for conditional probability and population-parameter inference.",{"@graph":69,"@context":123},[70,84,106],{"@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/syllabus-of-satpsat-math-heart-of-algebra-linear-equations/267356/",{"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/syllabus-of-satpsat-math-heart-of-algebra-linear-equations/267356.png","ImageObject",300,407,{"name":92,"@type":93},"Graffin","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-29","2026-09-14",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",23,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What topics are included in the Heart of Algebra unit?","Question",{"text":113,"@type":114},"It includes linear expressions and equations, linear inequalities, linear functions, and both systems of inequalities and systems of two linear equations, along with interpreting constants and variables and connecting algebra to graphs.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How does the syllabus expect students to handle systems of linear equations or inequalities?",{"text":118,"@type":114},"Students create, solve, and interpret systems to represent real contexts, determining whether solution sets are empty, unique, or infinite, and analyzing constraints between two variables.",{"name":120,"@type":111,"acceptedAnswer":121},"What types of data analysis skills are covered under Problem Solving and Data Analysis?",{"text":122,"@type":114},"The syllabus covers ratios, rates, percentages, measurement and unit conversion, interpreting scatterplots using linear/quadratic/exponential models, using graphs to infer values, comparing growth patterns, and calculating conditional probability with two-way tables.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},267356,1789417616,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":29,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":130,"read_time":144},3573418547284,"https://eur-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","Syllabus of SAT/PSAT Math  \nUnits  \n1. Heart of Algebra  \n2. Problem Solving and Data Analysis  \n3. Passport to Advanced Math  \n4.Additional Topics in Math  \nHeart of Algebra  \n1. Create, solve, or interpret a linear expression or equation in one variable that represents a context. The expression or equation will have rational coefficients, and multiple steps may be required to simplify the expression, simplify the equation, or solve for the variable in the equation.  \n2. Create, solve, or interpret linear inequalities in one variable that represent a context. The inequality will have rational coefficients, and multiple steps may be required to simplify or solve for the variable.  \n3. Build a linear function that models a linear relationship between two quantities. The student will describe a linear relationship that models a context using either an equation in two variables or function notation. The equation or function will have rational coefficients, and multiple steps may be required to build and simplify the equation or function.  \n4. Create, solve, and interpret systems of linear inequalities in two variables. The student will analyze one or more constraints that exist between two variables by creating, solving, or interpreting an inequality in two variables or a system of inequalities in two variables to represent a context. Multiple steps maybe required to create the inequality or system of inequalities or to determine whether a given point is in the solution set.  \n5. Create, solve, and interpret systems of two linear equations in two variables. The student will analyze one or more constraints that exist between two variables by creating, solving, or analyzing a system of linear equations to represent a context. The equations will have rational coefficients, and multiple steps may be required to simplify or solve the system.  \n6. Algebraically solve linear equations (or inequalities) in one variable. The equation (or inequality) will have rational coefficients and may require multiple steps to solve for the variable; the equation may yield no solution, one solution, or infinitely many solutions. The student may also be asked to determine the value of a constant or coefficient for an equation with no solution or infinitely many solutions.  \n7. Algebraically solve systems of two linear equations in two variables. The equations will have rational coefficients, and the system may yield no solution, one solution, or infinitely many solutions. The student may also be asked to determine the value of a constant or coefficient of an equation in which the system has no solution, one solution, or infinitely many solutions.  \n8. Interpret the variables and constants in expressions for linear functions within the context presented. The student will make connections between a context and the linear equation that models the context and will identify or describe the real-life meaning of a constant term, a variable, or a feature of the given equation.  \n9. Understand connections between algebraic and graphical representations. The student will select a graph described by a given linear equation, select a linear equation that describes a given graph, determine the equation of a line given a verbal description of its graph, determine key features of the graph of a linear function from its equation, or determine how a graph may be affected by a change in its equation.  \nProblem Solving and Data Analysis  \n1. Use ratios, rates, proportional relationships, and scale drawings to solve single-and multistep problems. The student will use a proportional relationship between two variables to solve a multistep problem to determine a ratio or rate; calculate a ratio or rate and then solve a multistep problem; or take a given ratio or rate and solve a multistep problem.  \n2. Solve single- and multistep problems involving percentages.The student will solve a multistep problem to determine a percentage; calculate a percentage and then solve a multis","cbCaioYU5AfYk7ry","https://ap.wps.com/l/cbCaioYU5AfYk7ry","pdf",830016,"English","# Heart of Algebra\n## Create, solve, and interpret linear expressions and equations\n## Create, solve, and interpret linear inequalities\n## Build linear functions\n## Systems of linear inequalities\n## Systems of two linear equations\n## Algebraic solution methods\n## Systems solution methods\n## Interpreting variables and constants in linear functions\n## Algebraic and graphical connections\n# Problem Solving and Data Analysis\n## Ratios, rates, and proportional relationships\n## Percentages\n## Measurement quantities and unit conversion\n## Scatterplots and model selection\n## Key graph features from relationships\n## Linear vs. exponential growth\n## Two-way tables and conditional probability\n## Population parameters from samples","[{\"question\":\"What topics are included in the Heart of Algebra unit?\",\"answer\":\"It includes linear expressions and equations, linear inequalities, linear functions, and both systems of inequalities and systems of two linear equations, along with interpreting constants and variables and connecting algebra to graphs.\"},{\"question\":\"How does the syllabus expect students to handle systems of linear equations or inequalities?\",\"answer\":\"Students create, solve, and interpret systems to represent real contexts, determining whether solution sets are empty, unique, or infinite, and analyzing constraints between two variables.\"},{\"question\":\"What types of data analysis skills are covered under Problem Solving and Data Analysis?\",\"answer\":\"The syllabus covers ratios, rates, percentages, measurement and unit conversion, interpreting scatterplots using linear/quadratic/exponential models, using graphs to infer values, comparing growth patterns, and calculating conditional probability with two-way tables.\"}]","Syllabus of SAT/PSAT Math - Heart of Algebra - Linear Equations | PDF",15]