[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-1-en-105":3,"doc-seo-571857-105":53,"doc-detail-571857-en":127},{"code":4,"msg":5,"data":6},0,"success",[7,14,19,24,29,34,39,44,49],{"id":8,"doc_module":9,"doc_module_name":10,"category_name":11,"show_sort_weight":12,"slug":13},11,1,"Template","Presentations",90,"presentations",{"id":15,"doc_module":9,"doc_module_name":10,"category_name":16,"show_sort_weight":17,"slug":18},12,"Resumes",80,"resumes",{"id":20,"doc_module":9,"doc_module_name":10,"category_name":21,"show_sort_weight":22,"slug":23},14,"Invoices",70,"invoices",{"id":25,"doc_module":9,"doc_module_name":10,"category_name":26,"show_sort_weight":27,"slug":28},15,"Posters",60,"posters",{"id":30,"doc_module":9,"doc_module_name":10,"category_name":31,"show_sort_weight":32,"slug":33},16,"Social Media",50,"social-media",{"id":35,"doc_module":9,"doc_module_name":10,"category_name":36,"show_sort_weight":37,"slug":38},17,"Forms",40,"forms",{"id":40,"doc_module":9,"doc_module_name":10,"category_name":41,"show_sort_weight":42,"slug":43},18,"Letters",30,"letters",{"id":45,"doc_module":9,"doc_module_name":10,"category_name":46,"show_sort_weight":47,"slug":48},21,"Paper Templates",5,"papers-templates",{"id":50,"doc_module":9,"doc_module_name":10,"category_name":51,"show_sort_weight":4,"slug":52},158,"General","general-158",{"code":4,"msg":54,"data":55},"ok",{"site_id":56,"language":57,"slug":58,"title":59,"keywords":60,"description":61,"schema_data":62,"social_meta":120,"head_meta":122,"extra_data":124,"updated_unix":126},105,"en","algebra-i-cheat-sheet-updated-5224","Algebra I Cheat Sheet - Updated 5.2.24","","Algebra I cheat sheet compiling essential math vocabulary and problem-solving steps for quick reference. Covers order of operations (PEMDAS), exponents rules (multiplying, dividing, powers, zero and negative exponents), and quadratic equation factoring and FOIL-based multiplication. Includes definitions for constants, coefficients, variables, like terms, ratios, coordinate plane and functions (domain, range, slope, intercepts, linear/non-linear, quadratic, exponential, sequence), real number classifications, algebraic properties, and core statistics measures such as mean, median, range, and IQR. Also notes TI-84 shortcuts.",{"@graph":63,"@context":119},[64,80,102],{"@type":65,"itemListElement":66},"BreadcrumbList",[67,71,74,77],{"item":68,"name":69,"@type":70,"position":9},"https://docshare.wps.com","Home","ListItem",{"item":72,"name":10,"@type":70,"position":73},"https://docshare.wps.com/template/",2,{"item":75,"name":51,"@type":70,"position":76},"https://docshare.wps.com/template/general/",3,{"item":78,"name":59,"@type":70,"position":79},"https://docshare.wps.com/template/algebra-i-cheat-sheet-updated-5224/571857/",4,{"url":78,"name":59,"@type":81,"image":82,"author":87,"headline":59,"publisher":90,"fileFormat":93,"inLanguage":57,"description":61,"dateModified":94,"datePublished":95,"encodingFormat":93,"isAccessibleForFree":96,"interactionStatistic":97},"DigitalDocument",{"url":83,"@type":84,"width":85,"height":86},"https://docshare.wps.com/thumbnails/algebra-i-cheat-sheet-updated-5224/571857.png","ImageObject",442,249,{"name":88,"@type":89},"Asher","Person",{"url":68,"name":91,"@type":92},"DocShare","Organization","application/pdf","2026-10-19","2026-10-13",true,{"@type":98,"interactionType":99,"userInteractionCount":101},"InteractionCounter",{"@type":100},"ViewAction",6,{"@type":103,"mainEntity":104},"FAQPage",[105,111,115],{"name":106,"@type":107,"acceptedAnswer":108},"What is the correct order of operations (PEMDAS) for algebra problems?","Question",{"text":109,"@type":110},"Use PEMDAS: parentheses first (no parentheses in some problems), then exponents, then multiply/divide left to right, and finally add/subtract left to right.","Answer",{"name":112,"@type":107,"acceptedAnswer":113},"How do you apply exponent rules when the bases are the same?",{"text":114,"@type":110},"When multiplying like bases, add the exponents; when dividing like bases, subtract the exponents. When raising a power to another power, multiply the exponents. A power of zero equals 1, and negative exponents move to the denominator as positive exponents.",{"name":116,"@type":107,"acceptedAnswer":117},"How are quadratic equations solved using factoring and FOIL?",{"text":118,"@type":110},"Set the equation equal to zero and break the polynomial into two factors, using numbers that produce the middle term. To FOIL two binomials, apply distributive property twice: First, Outer, Inner, Last, then combine like terms.","https://schema.org",{"og:url":78,"og:type":121,"og:title":59,"og:site_name":91,"og:description":61},"article",{"robots":123,"canonical":78},"index,follow",{"doc_id":125,"site_id":56},571857,1792013037,{"code":4,"msg":5,"data":128},{"doc_id":125,"user_id":129,"nickname":88,"user_avatar":130,"doc_module":9,"category_id":50,"category_name":51,"doc_title":59,"doc_description":61,"doc_content":131,"file_id":132,"file_url":133,"file_type":134,"file_size":135,"view_count":101,"is_deleted":4,"is_public":9,"is_downloadable":9,"audit_status":9,"page_count":101,"language":136,"language_code":57,"site_id":56,"html_lang":57,"table_of_contents":137,"faqs":138,"seo_title":139,"seo_description":61,"update_tm":140,"read_time":73},687197207639,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","NEED-TO-KNOW VOCABULARY  \nORDER OF OPERATIONS-PEMDAS  \nex: 25-42 + 3 * 4  \nParenthesis   . no parenthesis in this problem  \nExponents   25 – 16 + 3 * 4  \nMultiply/Divide   25-16 + 12  \nAdd/Subtract   9 + 12  \nSolution   21  \nALGEBRA  \n\n| Constant | the term that doesn’t change | ex: 2m + 7 |\n| --- | --- | --- |\n| Coefficient | the number attached to the letter | ex: 2 m + 7 |\n| Variable | any term with a letter | ex: 2m + 7 |\n\nCombining Like Terms ex:  \n3m + 2b + 12m-5b = 15m-3b  \nbe sure to use symbol in front of coefficient when combining  \n\n| Ratio | comparison of two numbers | ex: 34 􀝋􀝎 3: 4 |\n| --- | --- | --- |\n| Exponents | the power/degree, how many times to multiply the base number | ex: 53 (3 = exponent) |\n| Base | the number that gets multiplied by itself | ex: 53 (5 = base)\u003Cbr>ex: To solve (5 * 5 * 5) = 125 |\n\nFOIL METHOD FOR MULTIPLYING TWO BINOMIALS  \nFOIL  \nFirst-Outer- Inner-Last  \nworking  \nwith trinomials  \nNAMES FOR DIFFERENT TYPES OF TOTALS, ANSWERS, OR SOLUTIONS  \n\n| Sum | a result after adding two or more numbers | total, add |\n| --- | --- | --- |\n| Difference | a result after subtracting two or more numbers | less than, minus, subtract |\n| Product | a result after multiplying two or more numbers | factor, of |\n| Quotient | a result after dividing two or more numbers | dividing |\n| Absolute Value | distance from zero | value is always positive (+) |\n\n| COORDINATE PLANE AND FUNCTIONS |  |  |\n| --- | --- | --- |\n| Function (FNC) | a relationship between x and y | for each x-value, there is only one y-value (no repeating xvalue) |\n| Domain | x-value | (x, y) |\n| Range | y-value | (x, y) |\n| Line Formula | y = mx + b | m=slope, b= y-intercept |\n| Point Slope | y-􀝕1 = 􀝉 (􀝔 − 􀝔1) |  |\n| Slope Formula | m = 􀯬􀯫22−􀯬􀯫11 | rise over run |\n| Y-Intercept | where the line intersects y axis | b value\u003Cbr>(start here when making aline) |\n| Linear FCN | points make a line, constant rate of change |  |\n| Non-Linear FCN | does not look like a line | ex: parabola, repeating xvalues |\n| Quadratic FCN | make parabolas | smile-y face or frowny face |\n| Exponential | upward sloping, y-value increases faster than the x, always lies above the x-axis |  |\n| Sequence | a type of function used to describe patterns |  |\n\n\n| EXPONENT RULES |  |\n| --- | --- |\n| Multiplying: When multiplying exponents with the same base, we add the exponents | ex: 53 * 53 = 5 3+3 = 56 |\n| Dividing: When dividing exponents with the same base, we subtract the exponents | ex: 23 ÷ 22 = 2 3-2 = 21 = 2\u003Cbr>Note: anything to the ^1 = invisible |\n| Raising to another power: We will multiply the exponents, when raising the base to another power | ex: (23)3 = 23*3\u003Cbr>3*3 = 29 = 2 *2 *2 *2 *2 *2 *2 *2 *2 = 256\u003Cbr>any base to the ^0 (zero power) = 1 ex: 20 = 1, 100 = 1, x0 = 1 |\n| Negative exponents: Neg. exponents in the numerator, become a positive exponent in the denominator | ex: 4-3 = 413 = 164 |\n\n\n| QUADRATIC EQUATIONS |  |\n| --- | --- |\n| How to solve | Set equation equal to zero, then break polynomial into 2 factors: ( ) ( )\u003Cbr>\u003Cbr>Look for factors of 6, that when\u003Cbr>ex: x 2 + 5x + 6 = 0 combined together will give us the\u003Cbr>middle term of 5.\u003Cbr>(x + 3)(x + 2) = 0\u003Cbr>x + 3 = 0 x + 2 = 0 -3 -3 -2 -2\u003Cbr>Solve each quantity individually for x\u003Cbr>\u003Cbr>x = -3 x = -2 Our two solutions for x are-3 and-2 |\n| How to FOIL given 2 quantities | Basically, you are using the distributive property twice. ex: Given (x + 4) (x-5) =\u003Cbr>\u003Cbr>First: x ⋅ x = x2 first term in 1st ( )\u003Cbr>times 1st term in 2nd ( )\u003Cbr>Outer: x ⋅ (−5) = −5x x from 1st ( )\u003Cbr>-5 from the 2nd ( )\u003Cbr>\u003Cbr>Inner: 4 ⋅ x = 4x 4 from the 1st ( )\u003Cbr>times x from the 2nd ( )\u003Cbr>Last: 4 ⋅ (−5) = −20 4 from 1st ( )\u003Cbr>times-5 from the 2nd ( )\u003Cbr>Combine all terms: x 2-5x + 4x-20 = x 2-1x-20\u003Cbr>|\n\nREAL  \nA. Irrational  \nB. Rational  \nincludes all the numbers  \nnumbers that cannot be written as a fraction, never end and never repeat  \ncan be written as a fraction or a decimal that ends or repeats.  \nex: 􀟨 􀝋􀝎 √2  \nex:","cbCairhK22YznKgU","https://ap.wps.com/l/cbCairhK22YznKgU","pdf",389267,"English","# Order of Operations (PEMDAS)\n# Key Algebra Vocabulary\n# Combining Like Terms\n# Ratios and Exponents\n# FOIL and Binomials\n# Function Vocabulary and Coordinate Plane\n# Exponent Rules\n# Quadratic Equations\n# Real Number System\n# Properties of Operations\n# Statistics\n# TI-84 Quick Steps","[{\"question\":\"What is the correct order of operations (PEMDAS) for algebra problems?\",\"answer\":\"Use PEMDAS: parentheses first (no parentheses in some problems), then exponents, then multiply/divide left to right, and finally add/subtract left to right.\"},{\"question\":\"How do you apply exponent rules when the bases are the same?\",\"answer\":\"When multiplying like bases, add the exponents; when dividing like bases, subtract the exponents. When raising a power to another power, multiply the exponents. A power of zero equals 1, and negative exponents move to the denominator as positive exponents.\"},{\"question\":\"How are quadratic equations solved using factoring and FOIL?\",\"answer\":\"Set the equation equal to zero and break the polynomial into two factors, using numbers that produce the middle term. To FOIL two binomials, apply distributive property twice: First, Outer, Inner, Last, then combine like terms.\"}]","Algebra I Cheat Sheet - Updated 5.2.24 | PDF",1791924096]