# list of mathematical expressions

StepForward (cell)When triggered (the value is changed from 0 to 1), the Transport Controls move one step forward. Below is a list of many common math terms and their definitions. He cuts it into 4 equal pieces. “13 more than 15 times the number p ”. Express the amount invested in the mutual fund in terms of K, the amount invested in the savings account. In like manner, a number of phrases that translate into differences are shown in Table \(\PageIndex{1b}\). The numbers are constants. 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. When triggered (the value is changed from 0 to 1), the Transport Controls move to the start of the take. number1*number2 Number1 is the number that you want to multiply with number2. Find a mathematical expression to represent the values. a) “11 times x” becomes 11x. Watch the recordings here on Youtube! What is the width of the rectangle in terms of the length L? David invests K dollars in a savings account paying 3% per year. 5! \[ \begin{array}{c c c c c} \colorbox{cyan}{Length of the second piece} & \text{is} & \colorbox{cyan}{Total length} & \text{minus} & \colorbox{cyan}{the length of the first piece} \\ \text{Length of the second piece} & = & 15 & - & x \end{array}\nonumber \]. Number2 is the number by which you want to divide number1. For example. The plumber divides it into 4 equal pieces. How much does she invest in the certificate of deposit, in terms of the amount A in the savings account? A string is cut into two pieces, the first of which measures 12 inches. There are b bags of mulch produced each month. How many bags of mulch are produced each year? Algebra is a branch of mathematics that substitutes letters for numbers. A carpenter cuts a board of unknown length L into three equal pieces. \[ \begin{array}{c c c c c} \colorbox{cyan}{Amount in CD} & \text{is} & \colorbox{cyan}{5} & \text{times} & \colorbox{cyan}{Amount in savings} \\ \text{Amount in CD} & = & 5 & \cdot & A \end{array}\nonumber \]. Let’s look at some examples, some of which translate into expressions involving products, and some of which translate into expressions involving quotients. 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. It is cut into two pieces and the first piece has length x. Here are the translations. Number is a real number that Mathematical expressions are groups of variables, constants and operators that represent values. Additive inverse – The opposite of … 23. To find the length of each pieces, we must divide the total length by 4. Let’s look at some examples, some of which translate into expressions involving sums, and some of which translate into expressions involving differences. raised. Suppose 2n represents an even whole number. Some examples are shown in Table 3.2(a), though again the list is far from complete. Vector2 is a position vector. The common numeric operators below may be used in math expressions. She invests five times this amount in a certificate of deposit paying 5% per year. The length of the rectangle is L. The width is 15 feet less than 3 times the length. The length of a rectangle is 4 feet longer than its width. In this section we turn our attention to translating word phrases into mathematical expressions. \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\), [ "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. Missed the LibreFest? For more information contact us at info@libretexts.org or check out our status page at https://status.libretexts.org. A second number is 4 less than 3 times a first number. Therefore, the width, in terms of the length L, is 3L − 15. Math Operators. Similarly. vector1*vector2 Vector1 and vector2 combine to give you the cross product. Let x represent the length of one of the resulting pieces. Animation > Animating Using Constraints > Expression constraints > Expression reference > The following tables provide a list of mathematical expressions. Find the length of each piece in terms of the unknown length x. The position vector dependent on the ratio between the two positionâs vectors. How could we represent the next odd number after 2n + 1? A mathematical expression must be well-formed. Steve sells twice as many products as Mike. number1 + number2 Number1 and number2 are the numbers or numerical cells that you want to add. Equation: ( x–a) 2 + ( y–b) 2 + ( z–c) 2 = r2, where r is the radius and ( a, b, c) are the coordinates of the centre; surface area: 4π r2; volume: 4π r3 /3 square a plane geometric figure having four equal sides and four right angles square root a number or quantity that when multiplied by itself gives a given number or quantity strange attractor a type of chaotic dynamical system subset a set … The plus character (+) between two numeric values produces the … distance(vector1, vector2)Point1 and point2 should be two positions in 3D space. Translate the following phrases into mathematical expressions: Let W represent the width of the rectangle. Unless otherwise noted, LibreTexts content is licensed by CC BY-NC-SA 3.0. It can be any real number. 26. 3. being formed by a combination of numbers, variables, and mathematical operators, are valid mathematical expressions. vector1 - vector2 Vector1 is the vector that you want substituted by vector2. Try Expressions: The Essentials. Express the second number in terms of the first number y. Let Mike sell p products. Some phrases require combinations of the mathematical operations employed in previous examples. Acute triangle – A triangle containing only acute angles. Acute angle – An angle which measures below 90°. Legal. number1 - number2 Number1 is the number that you want substituted by number2. \[ \begin{array}{c c c c c} \colorbox{cyan}{Length of each piece} & \text{is} & \colorbox{cyan}{Total length} & \text{divided by} & \colorbox{cyan}{4} \\ \text{Length of each piece} & = & x & \div & 4 \end{array}\nonumber \]. Let’s add the definition of a mathematical expression. Vector is the vector you want to normalize. Express the total length of the string as a function of x, where x represents the length of the second piece of string. vector1 + vector2Vector1 and vector2 are the vectors or vector cells that you want to add. 22. Then Steve sells 2p products. The string has original length 15 inches. “9 times the sum of the number z and 2”, 12. Add. 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.

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