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.
expressions don't have an equal sign and equations do
The given expressions can't be considered to be equations because there are no equality signs.
yes. equations have an equals signs and expressions don't
25x+20y=5x(5+4y)
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.
expressions don't have an equal sign and equations do
Equations are made from expressions.
They can but don't have to.
In the same way that you would solve equations because equivalent expressions are in effect equations
no algebraic expressions do not have equal signs but equations do.
These are two expressions, not equations. Expressions do not have solutions, only equations do. NB equations include the equals sign.
It may be possible to solve equations. Expressions cannot be solved until they are converted, with additional information, into equations or inequalities which may have solutions.
a rational function.
Both have a value
They both have numbers and symbols
No they do not, equations have equal signs.