{"id":8479,"date":"2015-05-06T03:56:18","date_gmt":"2015-05-06T03:56:18","guid":{"rendered":"https:\/\/schooltutoring.com\/scholarship\/?p=8479"},"modified":"2015-05-06T03:56:18","modified_gmt":"2015-05-06T03:56:18","slug":"math-review-of-variables-and-expressions","status":"publish","type":"post","link":"https:\/\/schooltutoring.com\/scholarship\/2015\/05\/06\/math-review-of-variables-and-expressions\/","title":{"rendered":"Math Review of Variables and Expressions"},"content":{"rendered":"

Overview<\/h3>\n

The language of algebra is written in symbols, numerals, variables, constants, and expressions. In order to be successful in math, students should be able to translate its language into words and words into math language. Numerals and many symbols should already be familiar, as well as many operations with real numbers.<\/p>\n

Common Symbols and Numerals<\/h3>\n

Several mathematical symbols should already be familiar, such as + for addition, – for subtraction, x or \u00b7for multiplication, and \u00f7 for division. Similarly, most students are familiar with = for equals, < for less than, and > for greater than. The integers 0, 1, 2, 3 \u2026 are common, as are fractions such as \u00bd, 1\/3, \u00bc, 2\/3, and so on. By the time students begin studying algebra, they are familiar with working problems that involve basic operations, as well as some that aren\u2019t so basic.<\/p>\n

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Variables, Constants, and Expressions<\/h3>\n

Variables are letters or symbols used to represent any value that can change, depending on the needs in the expression. Constants do not change. They may be numerals or particular values. For example, the letter pi \u03c0 is a constant that always means the same thing, 3.1416, give or take a few decimal places. Numerical expressions contain only constants and symbols for operations, such as 2 +2 = 4. Algebraic expressions are similar, but they also contain variables, constants and symbols for operations. While 2 + 2 =4 is a numerical expression, x +y = 4 is a simple algebraic expression. It contains two variables, x and y; one constant, 4; and two symbols for operations, + and =.<\/p>\n

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Translating from Symbols to Words<\/h3>\n

In order to translate from symbols to words, understand what the symbols mean and analyze them. For example, the expression \u201cx +2\u201d can mean the sum of x +2 or x increased by 2. The expression \u201c5 \u2013a\u201d can mean the difference of 5 and a, or a less than 5. The expression \u201c8z\u201d can mean 8 times z or the product of 8 and z. The expression \u201cy\/5\u201d can mean y divided by 5 or the quotient of y and 5.<\/p>\n

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Translating from Words to Symbols<\/h3>\n

In order to translate words into mathematical expressions, such as for a word problem or real-life application of math, analyze the statement in words and the relationships between them. Drawing a picture can be a useful strategy to translate a problem into an algebraic expression. Certain words and phrases mean particular operations. Are things to be put together? Addition might be the operation. Is one thing more or less than another? Subtraction might be needed. Are equal numbers of things to be grouped? Multiplication might be the key. If equal groups need to be separated, they are divided.<\/p>\n

Interested in math tutoring services<\/a>? Learn more about how we are assisting thousands of students each academic year.<\/p>\n

SchoolTutoring Academy<\/span> is the premier educational services company for K-12 and college students. We offer tutoring programs for students in K-12, AP classes, and college. To learn more about how we help parents and students in Provo, UT: visit: Tutoring in Provo, UT<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Overview The language of algebra is written in symbols, numerals, variables, constants, and expressions. In order to be successful in math, students should be able to translate its language into words and words into math language. Numerals and many symbols should already be familiar, as well as many operations with real numbers. Common Symbols and […]<\/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":[11,13],"tags":[635,1249,1794,1926],"class_list":["post-8479","post","type-post","status-publish","format-standard","hentry","category-math-fundamentals","category-pre-algebra","tag-expressions","tag-operations","tag-symbols","tag-variables"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/8479","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/users\/22"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/comments?post=8479"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/8479\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/media?parent=8479"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/categories?post=8479"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/tags?post=8479"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}