Animation > Animating Using Constraints > Expression constraints > Expression reference > The following tables provide a list of mathematical expressions. There is also a wide variety of phrases that translate into products. The amount in the savings account is A dollars. Express the length of the rectangle in terms of its length L. In Exercises 1-20, translate the phrase into a mathematical expression involving the given variable. 25. “10 times the sum of the number n and 8”, 11. Some phrases require combinations of the mathematical operations employed in previous examples. \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\), [ "article:topic", "license:ccbyncsa", "showtoc:no", "authorname:darnold" ], \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\), 3.0: Prelude to the Fundamentals of Algebra, Translating Words into Mathematical Expressions. There is a wide variety of word phrases that translate into sums. Representing Numbers. A string is cut into two pieces, the first of which measures 12 inches. vector1 - vector2 Vector1 is the vector that you want substituted by vector2. When triggered (the value is changed from 0 to 1), the Transport Controls move to a specified position. Express the length of the rectangle in terms of its width W. We know that the width of the rectangle is W. Because the length of the rectangle is 4 feet longer that the width, we must add 4 to the width to find the length. The following tables provide a list of mathematical expressions. For example. c) “twice a” becomes 2a. A second number is 4 less than 3 times a first number. The common numeric operators below may be used in math expressions. Let’s look at some examples, some of which translate into expressions involving products, and some of which translate into expressions involving quotients. When triggered (the value is changed from 0 to 1), the Transport Controls move one step backward. represents the position ratio between the two positionsâ vectors. 5! Express the length of each piece in terms of L. Mary invests A dollars in a savings account paying 2% interest per year. How could we represent the next odd number after 2n + 1? Unless otherwise noted, LibreTexts content is licensed by CC BY-NC-SA 3.0. A carpenter cuts a board of unknown length L into three equal pieces. Steve sells twice as many products as Mike. Acute triangle – A triangle containing only acute angles. b) “quotient of y and 4” becomes y/4, or equivalently, \(\frac{y}{4}\). Translate the following phrases into mathematical expressions: Let W represent the width of the rectangle. He cuts it into 4 equal pieces. Below is a list of many common math terms and their definitions. Add. When triggered (the value is changed from 0 to 1), the Transport Controls move to the end of the take. Choose a variable and write an expression for each man’s sales. Math Operators. The LibreTexts libraries are Powered by MindTouch® and are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. distance(vector1, vector2)Point1 and point2 should be two positions in 3D space. Similarly. The second number is 3 more than twice the first number. Animation > Animating Using Constraints > Expression constraints > Expression reference > Mathematical expressions The following tables provide a list of mathematical expressions. It is cut into two pieces and the first piece has length x. Then Steve sells 2p products. Let Mike sell p products. To find the length of the second piece, we must subtract the length of the first piece from the total length. The result of a number raised to a power. Express the second number in terms of the first number y. An algebraic equation depicts a scale, what is done on one side of the scale with a number is also done to either side of the scale. We begin with phrases that translate into sums. Translate the following phrases into mathematical expressions: (a) “11 times x,” (b) “quotient of y and 4,” and (c) “twice a.”. the factors of 10 are 1, 2 and 5 factorial: the product of all the consecutive integers up to a given number (used to give the number of permutations of a set of objects), denoted by n!, e.g. She invests five times this amount in a certificate of deposit. factor: a number that will divide into another number exactly, e.g. is not well-formed because parentheses are not balanced. The total length is unknown and equal to x. He invests half this amount in a mutual fund paying 4% per year. 26. A mathematical expression must be well-formed. Let’s look at some examples, some of which translate into expressions involving sums, and some of which translate into expressions involving differences. Find the length of each piece in terms of the unknown length x. When we combine numbers and variables in a valid way, using operations such as addition, subtraction, multiplication, division, exponentiation, and other operations and functions as yet unlearned, the resulting combination of mathematical symbols is called a mathematical expression. “13 more than 15 times the number p ”. is not a valid expression because there is no term following the plus sign (it is not valid to write +÷ with nothing between these operators). Thus, the amount invested in the certificate of deposit, in terms of the amount A in the savings account, is 5A. Some examples of mathematical expressions include "mx + y," "5 /a," "20" and "6 - 4." The plumber divides it into 4 equal pieces. 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