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What is the best way to solve algebra problems?

First, try to combine like terms. Like terms are terms that have the same variable and degree, such as 5x and 3x. Remember that removing coefficients cannot be done without affecting the whole term. For example, the expression 2x - 1 turns to x - 0.5 if it's divided by 2, because the 2 is multiplied by both x and 0.5 to make 2x - 1. As another example, the expression 2x - 4x + 8 simplifies to -2(x + 4) Putting this expression in the equation 2x - 4x + 8 = 3x + 6 and simplifying both sides yields -2x + 8 = 3x + 6.\nSimplifying the two equations by adding 2x to both sides gives the shorter..

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What does "integer" mean?

An example of a set of integers is (-10, -4, -2, 0, 3, 5, 7, 9). In math, there are different types of number classifications, such as counting numbers, natural numbers, whole numbers (a category which includes positive whole numbers and zero), integers, rational numbers (including ratios or fractions), real numbers (including rational and irrational numbers) and complex numbers.\nWhile, the mathematical symbol for the set of natural numbers is the letter N, the symbol for the set of integers is Z.

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Why does "Q" represent rational numbers?

The Italian mathematician, Giuseppe Peano was the first person to use "Q" to refer to the set of rational numbers. He selected "Q" because it was the first letter of the Italian word for quotient, "quoziente." This represented that each member of the rational number set was a quotient. Some other ways to express a quotient include as the answer to a division problem or as a ratio. In typeface or electronic media, the "Q" for the set of rational numbers is commonly displayed in boldface.\nRational numbers are a subset of the set of real numbers, which also includes irrational numbers. When rati..

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What is a five-sided shape called?

There are two types of pentagon; regular and irregular. A regular pentagon has five sides of equal length.\nAn irregular pentagon has five sides of varying length. A regular pentagon will always have the same interior and exterior angles. The interior angle of a regular pentagon is 108 degrees and the exterior angle of a regular pentagon is 72 degrees. The total interior angles of a pentagon will always equal 540 degrees.

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What do brackets mean in math?

For example, 2[10 – 2(6 – 3)] means that first the 6 - 3 in the parenthesis is evaluated giving the expression 2[10 - 2(3)]. The parenthesis represent multiplication, so 2 x 3 is evaluated leaving 2[10 - 6]. Then, the subtraction in the brackets is completed for 2[4]. Finally, the multiplication signified by the brackets is completed for a solution of 8.

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What are some good free math dictionaries online?

ICoachMath.com features a categorized dictionary separating terms for elementary math, middle school math and high school math with a section for important formulas. Not only does iCoachMath provide a glossary of terms, but also a concrete lesson plan for children. The resource has sample test questions and answers as well as homework help.\nA Maths Dictionary for Kids is an animated, interactive tool created by Jenny Eather. This dictionary is restricted to elementary school level math but has fun and engaging methods for young kids to get interested in the subject matter.\nEasyCalculation.co..

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How do architects use geometry?

The shapes and sizes used in the architect's design are often possible due to mathematical principles. An example of this would be the Pythagorean Theorem. Architects are required to know college level algebra, trigonometry, probability and statistics, linear programming, calculus I and calculus II. They are also required to obtain a professional degree, gather work experience in an internship setting and pass the Architect registration exam for licensing purposes.Architects make a salary that ranges from $44,600 per year to $118,230 per year. Most architects work in architectural firms w..

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How do you calculate input/output tables?

Create a rule for the tableCreate a rule that tells you how one number relates to another. Represent the first number with "x" and the second with "y". An example of a rule is: x – 3 = y. Write down some numbers that fit with the rule. For example, you can write: 3 - 3 = 0 or 5 - 3 = 2.Complete the tableCreate a table that is two cells high. Make enough cells for the width to hold all the numbers you want to use. In the first cell, write input. In the cell below it, write output. In the cell next to input, write the first value for "x". In the cell below that, write the first value for "y". ..

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What effect does the outlier have on the mean?

An outlier ranges far from the mid-point of the data. It can be either much higher or much lower than the mid-point. Outliers that are much higher than the mid-point of the data inflate the mean, while outliers that are much lower reduce the mean. The inclusion of an outlier in the calculation of the mean depends upon the reasonable expectation of finding an outlier in the data.\nThe mean is one type of average. It is found by adding a group of numbers and dividing the total by the amount of numbers present in the data set. Median and mode are two other types of averages. The median is found b..

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What is meant by "percent error"?

Percent error may occur due to approximation errors. For example, if an instrument used to make a measurement is inaccurate to a certain degree or cannot calculate to a certain decimal, then an approximate value close to the exact value might occur. More commonly, percent error occurs from calculations involving irrational numbers, such as pi.\nAlthough pi is defined as an irrational number with infinite decimal digits, pi is often rounded to 3.14 to make calculations easier. The area of a circle when calculated with 3.14 is slightly larger than the area calculated with pi. Thus, the imprecisi..

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