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What is the answer when solving an equation?
In mathematics, to solve an equation is to find what values (numbers, functions, sets, etc.) fulfill a condition stated in the form of an equation (two expressions related by equality). These expressions contain one or more unknowns, which are free variables for which values are sought that cause the condition to be fulfilled. To be precise, what is sought are often not necessarily actual values, but, more in general, mathematical expressions. A solution of the equation is an assignment of expressions to the unknowns that satisfies the equation; in other words, expressions such that, when they are substituted for the unknowns, the equation becomes an identity
How would you describe rational algebraic expressions?
A collection of more than one term.
Is there more than one rational equation that uses exponents?
YES
Which subset of the real number system contains the most rational number and explain why?
The set of all rational numbers.If the set contains all of them then no other set can contain any more rational numbers.
Can you always cross multiply rational expressions?
If you need to simplify a rational expression with two or more terms, you need to find the LCD in order to write the expression as a single fraction. If the denominators have not common factors, then the only way is to multiply each numerator with the all denominators of the other terms. If you have an equation in the proportion form, then cross multiply. If both sides of the equation have more than two rational terms, then work at both sides until you have a proportion, then cross multiply. But I would prefer to multiply each term at both sides by the LCD in order to eliminate the denominators.
What is the difference between algebraic and numerical expressions?
Algebraic expressions use letters as variables to represent numbers. Ex. 5c-(2+x) x=2 c=12 Numerical expressions use numbers only. Ex. 12+(2-7)
What is the answer when solving an equation?
In mathematics, to solve an equation is to find what values (numbers, functions, sets, etc.) fulfill a condition stated in the form of an equation (two expressions related by equality). These expressions contain one or more unknowns, which are free variables for which values are sought that cause the condition to be fulfilled. To be precise, what is sought are often not necessarily actual values, but, more in general, mathematical expressions. A solution of the equation is an assignment of expressions to the unknowns that satisfies the equation; in other words, expressions such that, when they are substituted for the unknowns, the equation becomes an identity
How would you describe rational algebraic expressions?
A collection of more than one term.
An equation that contains two or more variables?
literal equation
What is a mathematical expression that two or more expressions are equivalent?
It is an equation, an equality, or an identity.
Is there more than one rational equation that uses exponents?
YES
Equation that contains more than one variable?
A bivariate equation.
What is an equation that contains more than one variable?
Multivariable equation
Which subset of the real number system contains the most rational number and explain why?
The set of all rational numbers.If the set contains all of them then no other set can contain any more rational numbers.
what is called an equation that contains more than one variable?
Multivariable equation
Can you always cross multiply rational expressions?
If you need to simplify a rational expression with two or more terms, you need to find the LCD in order to write the expression as a single fraction. If the denominators have not common factors, then the only way is to multiply each numerator with the all denominators of the other terms. If you have an equation in the proportion form, then cross multiply. If both sides of the equation have more than two rational terms, then work at both sides until you have a proportion, then cross multiply. But I would prefer to multiply each term at both sides by the LCD in order to eliminate the denominators.
Is every real number rational?
No. The set of real numbers contains an infinitely more irrational numbers than rational numbers.
