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Q: What is the same about expressions and equations?

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They are the same except equations use the equal sign =

In the same way that you would solve equations because equivalent expressions are in effect equations

expressions don't have an equal sign and equations do

If both equations can be simplified to the same value, they are equal.

Equations are made from expressions.

Equations assert the equality of 2 expressions and Inequalities are comparisons of expressions

They can but don't have to.

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

Equations are said to be equivalent if they have the same solution. This definition also holds true in rational equations or equations involving rational expressions. For instance, the equations 2x = 14 and x - 3 = 4 are equivalent. Why? It's because they have the same solution, that is x = 7.

They are called: Identical equations or IdentitiesSee: http://www.tutorvista.com/search/value-algebraic-expressions-33 - -7 = ss = -26

When given two names (variable expressions) for the same quantity, you can use algebra to solve the equation.

When given two names (variable expressions) for the same quantity, you can use algebra to solve the equation.

formula expression

No they do not, equations have equal signs.

"Equations" is the plural form of "equation". An "equation" is a mathematical statement that two expressions are equal.

Yes FOIL method can be used with quadratic expressions and equations

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.

equivalent equations

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

The given expressions can't be considered to be equations because there are no equality signs.

Addition and subtraction are mathematical processes. They can be used in equations, which are statements that the values of two mathematical expressions are equal, but they are not equations by themselves.