Sreb unit2 lesson2
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The document discusses whether solutions exist for various equations. In three sentences: It asks if solutions exist for different equations and provides explanations for each. For the equations 3x = 6, x^2 = 9, and x^2 >= 0 + 9, solutions do exist as you can find values of x that satisfy the equations. However, for the equations 3x - 5 = 3x + 6, x+4 = x+3, and the fraction equation given, no solutions exist as the equations cannot be satisfied no matter the value of x.
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This document discusses equations and expressions. It defines equations as mathematical statements containing two algebraic expressions separated by an equal sign. Equations can be solved to find the value of an unknown variable. The document also discusses the different parts of an equation, how to solve equations by performing the same operations to both sides, and types of equations such as linear, quadratic and cubic equations. It provides examples of solving linear equations in one and two variables.
Numeros reales
Este Trabajo Les Servira Para los Siguiente:
Definición de Conjuntos.
Operaciones con conjuntos.
Números Reales
Desigualdades.
Definición de Valor
Absoluto
Desigualdades con
Valor Absoluto
Math 7 vocabulary powerpoint
The document defines key mathematical terms including:
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- Exponent - How many times a number is used in a multiplication.
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- Factors - Numbers that can be multiplied together to get another number.
30 Simple Algebra Tricks for Students
This document provides 30 algebra tricks to help students master the subject more easily. Some key tricks discussed include:
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- Simplifying expressions by turning all negative signs positive or using cross-multiplication to solve fractional equations more quickly.
- Using techniques for squaring numbers like recognizing numbers are a certain amount above or below a multiple of 10.
- Memorizing tricks for multiplying or dividing specific numbers like 11 or numbers closer to bases like 10 or 100.
- Learning indicators for divisibility like a number being divisible by 3 if the sum of its digits is divisible by 3.
Simple equations
The document defines an equation as a condition of equality between two mathematical expressions. It provides examples of how to frame a simple equation using variables, coefficients, and constants. The key properties of equations are also outlined, such as how the left and right sides can be interchanged or terms can be added/subtracted/multiplied/divided if done to both sides. Examples are given to demonstrate solving equations using transposition or addition/subtraction/multiplication. Finally, word problems are presented and solved to find unknown values using simple equations.
Números Reales
This document defines and explains several concepts in mathematics including real numbers, absolute value, inequalities, sets, and set operations. It discusses how real numbers can be rational or irrational based on whether they have a periodic or non-periodic decimal expansion. Absolute value is defined as the distance from zero on the number line, and properties like non-negativity and the triangular inequality are covered. Inequalities and their properties like reflexivity and symmetry are also outlined. Sets are defined as collections of elements that share properties, and set operations like intersection, union, difference and complement are discussed. Examples are provided throughout to illustrate each concept.
Números reales
The document discusses various mathematical concepts including sets, real numbers, inequalities, and absolute value. It defines what a set is and provides examples of set operations like union, intersection, difference, and complement. It also defines different types of real numbers such as rational and irrational, algebraic and transcendental. Additionally, it discusses inequalities and absolute value inequalities, explaining how to solve absolute value equations by considering two cases.
Equations problems
This document provides examples for solving word problems by translating English phrases into mathematical expressions. It discusses key phrases like "more than", "less than", and "times" and how they relate to addition, subtraction, and multiplication. Several geometry and consecutive number word problems are worked out step-by-step. The document emphasizes setting up variables clearly before solving and checking that the answer makes sense in the original context.
Gmat quant topic 4 numbers solutions
This document discusses different types of numbers and problems involving numbers. It provides examples of data sufficiency problems and their step-by-step solutions. The problems involve topics like divisibility, primes, consecutive integers, and algebraic expressions with variables representing integers. The document aims to explain the thought processes and approaches used to determine whether statements provide sufficient information to answer yes/no questions.
ALGEBRA FOR ECONOMICS EXPRESSIONS AND EQUATIONS
1) The document discusses key concepts in algebra including expressions, equations, variables, coefficients, terms, and like terms. It provides examples of simplifying algebraic expressions by combining like terms.
2) Exponents, polynomials, and the distributive property are explained. Parentheses must be multiplied out before collecting like terms.
3) The document discusses the different types of solutions an equation can have: one solution, no solutions, or an infinite number of solutions.
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Sreb unit2 lesson2
- 1. Does a solution exists for each equation? Explain! without actually solving the equation
- 3. Yes If you add six to five you get 11, and there exists a value of x such that 3x = 6
- 5. Yes Adding nine to one gives you 10, and there exists a value of x such that x2 = 9.
- 7. No For any value of x, x2 will be greater than or equal to zero. If we add a non-negative number to nine, it is impossible to end up with one.
- 9. No No matter what x is, 3x is the same on both sides. Thus the number 3x minus 5 cannot be the same as the number 3x plus 6.
- 11. No A fraction is equal to one when the numerator and denominator are equal to each other (and not zero); x+4 and x+3 can never be equal to each other no matter the value of x.
- 13. No A fraction is equal to one when the numerator and denominator are equal to each other (and not zero). If the top equation = 2(x-1), the numerator and denominator would be equal. With the numerator only x - 1, the denominator is always twice the value of the numerator no matter the value of x.