expressions don't have an equal sign and equations do
There are lots of different types of problems in algebra; you have to learn each type separately. For example, how to add similar expressions; how to multiply expressions; how to factor polynomials; how to solve equations; etc.
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.
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
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.
expressions don't have an equal sign and equations do
Math equations have an equals sign such as: 7+5=12 or 9x6=47+7 Math expressions do not have a equals sign such as: 43-27 or 8x40
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.
a rational function.
Both have a value
They both have numbers and symbols
There are lots of different types of problems in algebra; you have to learn each type separately. For example, how to add similar expressions; how to multiply expressions; how to factor polynomials; how to solve equations; etc.