Equation

Written by Jerry Ratzlaff. Posted in Mathematics

  • An equation is a statement that has an equal \( \;(=)\;\) sign in it like:
    • \(7x-23=19\;\)  or\( \; 19x-14=22-8\; \)

 

  • Equation breakdown
    • Expression - Coefficients, constants and variables separate by an operation. \(\;7x-23\;\)
    • Coefficient - A number multiplied by a variable. \( \;7\)
    • Variable - An unknown number represented by a symbol. \( \; x,\; y,\;z\; \) and so on.
    • Operation - addition \( \;(+),\; \) subtraction \( \;(-),\; \) multiplication \( \;(\times),\; \) division \( \;(+)\; \)
    • Constant - A fixed number. \( \;23\; and \;19\; \)

 

  • Commutative Property - Moves equation parts around.
    • \( a \times b \times c = b \times a \times c = b \times c \times a = c \times a \times b\)

 

  • Algebraic Expression - Includes variables, if not, then it is called an arithmetic expression.

 

  • Arithmetic Expression - Has no variables.