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An expression in mathematics is a collection of numbers, variables and mathematical operations such as addition, subtraction, multiplication, division, powers and roots, trigonometric transformations and so on. An expression does not normally contain an equality or inequality sign.
An equation consists of two expression with an equality sign between them. The equality may be true for none, one or more (including infinitely many) values of any variables appearing in the equality.
A function is a mapping from one set to another such that every element from the first set is associated with at most one member of the second, and such that every member of the second set has at least one member of the first that is mapped onto it. The two sets may be the same or different. The mapping may be one-to-one or many-to-one.
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What are the similarities between equations and expressions?
Both have a value
What is the difference between equations and proportions?
A proportion is generally multiplicative relationship between two measures of a quantity. An equation is a mathematical statement that relates two quantities. The quantities may contain a number of expressions, with each expression comprising a number of numerical constants, variables and functions.
What is the difference between a function and expression?
Functions and Expressions are representations of relationships that exist among entities, however a function always returns a value (or result)
What is the difference between inequalities and equations using adding?
equations have an = sign, inequalities do not
What clues could help determine between equations and expressions?
An equation has the 'equals' sign ( = ) in it. An expression hasn't.
What is the difference between algebra equations and expressions?
expressions don't have an equal sign and equations do
Is there a difference between rational expressions and rational equations?
Yes. An equation has an "=" sign.
What are the similarities between equations and expressions?
Both have a value
What is the difference between equations and proportions?
A proportion is generally multiplicative relationship between two measures of a quantity. An equation is a mathematical statement that relates two quantities. The quantities may contain a number of expressions, with each expression comprising a number of numerical constants, variables and functions.
What similarities and differences do you see between the function and linear equations?
Linear equations are a tiny subset of functions. Linear equations are simple, continuous functions.
Is this a expresion or equation 3a - 14 4?
As far as I know it's an expression because it doesn't have an equal sign. That's the main difference between expressions and equations.
What is the difference between a function and expression?
Functions and Expressions are representations of relationships that exist among entities, however a function always returns a value (or result)
What is the difference between equivalent expressions and equivalent equations?
An expression does not equate to anything. An equation is equal to something. Expression: x+2 Equation: x+4=2x Equivalent expressions: x+2 and 2x-2 if x=4 Equivalent equations: x+4=2x and -x+10=2x if x=4
How are algebraic expressions and equations alike?
Algebraic expressions are the written relations of or between variables. For example, x2, 1/x, and x + y + z are all algebraic expressions. Algebraic equations are simply algebraic expressions that equate to something. For example, x2 = 4, 1/x = y, and x + y + z = 42 are all algebraic equations. In general, one differentiates algebraic expressions from exponential, trigonometric, hyperbolic, and logarithmic expressions by requiring algebraic expressions to be confined to polynomial expressions. I've added a link regarding polynomials below.
What is the difference between inequalities and equations using adding?
equations have an = sign, inequalities do not
What clues could help determine between equations and expressions?
An equation has the 'equals' sign ( = ) in it. An expression hasn't.
What is the difference between exponential functions and logarithmic functions?
Exponential and logarithmic functions are different in so far as each is interchangeable with the other depending on how the numbers in a problem are expressed. It is simple to translate exponential equations into logarithmic functions with the aid of certain principles.
