{"id":6584,"date":"2014-02-11T19:15:05","date_gmt":"2014-02-11T19:15:05","guid":{"rendered":"https:\/\/schooltutoring.com\/help\/?p=6584"},"modified":"2014-12-02T08:25:32","modified_gmt":"2014-12-02T08:25:32","slug":"math-review-of-writing-equations-words-to-symbols","status":"publish","type":"post","link":"https:\/\/schooltutoring.com\/help\/math-review-of-writing-equations-words-to-symbols\/","title":{"rendered":"Math Review of Writing Equations: Words to Symbols"},"content":{"rendered":"

Overview:<\/strong><\/p>\n

Writing equations in algebra is a process of translating words into mathematical symbols and operations.\u00a0 The difference between expressions in arithmetic and those in algebra is that variables are used to express unknown quantities, but the process is similar.\u00a0 That way, equations can be derived to express everyday relationships between numbers and unknown quantities.<\/p>\n

How Do Letters Represent Variables?<\/strong><\/p>\n

When translating a statement in words to an algebraic equation, clearly state what the variable represents.\u00a0 Suppose that the starting quarterback for one high school team rushes y yards for the season.\u00a0 His yardage is represented by the variable y.\u00a0 Similarly, the class president can have gotten v more votes than her challenger in the class election.<\/p>\n

What Expressions Represent Addition and Subtraction?<\/strong><\/p>\n

Terms such as “more than”, “sum”, “increase”, or “total” represent addition.\u00a0 Conversely, terms such as “less than”, “minus”, “decrease”, and “difference” represent subtraction.\u00a0 The starting quarterback’s yardage, y, is 30 yards more than the previous school record.\u00a0 In that case, y-30 equals the old school record.<\/p>\n

What Expressions Represent Multiplication and Division?<\/strong><\/p>\n

Multiplication terms include “times”, “product”, and such words as “twice” or “triple”.\u00a0 Division terms include “quotient”, and “divided by”.\u00a0 If there are 120 students in either the band or choir and there are twice as many in the band as in the choir, how many are in each group?\u00a0 Let x equal the number of students in choir.\u00a0 Then 2x will equal the number of students in the band.\u00a0 If the total cost of taxes is represented by z, then z\/12 will be the cost per month.<\/p>\n

How Are the Symbols Put Together?<\/strong><\/p>\n

Putting the variables, numbers, and symbols for the operations together in an equation goes a long way towards solving it.\u00a0 For example, if x is the number of students in choir and 2x is the number of students in band, an equation for the number in each group is x + 2x = 120, or 3x = 120, or x = 40.\u00a0 There are 40 students in choir and 80 in band, 120 all together<\/p>\n

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Overview: Writing equations in algebra is a process of translating words into mathematical symbols and operations.\u00a0 The difference between expressions in arithmetic and those in algebra is that variables are used to express unknown quantities, but the process is similar.\u00a0 That way, equations can be derived to express everyday relationships between numbers and unknown quantities. […]<\/p>\n","protected":false},"author":22,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[2],"tags":[590,1249,1794],"class_list":["post-6584","post","type-post","status-publish","format-standard","hentry","category-algebra","tag-equations","tag-operations","tag-symbols"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/6584","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/users\/22"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/comments?post=6584"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/6584\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/media?parent=6584"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/categories?post=6584"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/tags?post=6584"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}