MOCA: Math Latest Update Graded A+

MOCA: Math Latest Update Graded A+ Variable - A non-numeric symbol used to represent an unknown quantity - Often represented by letters of the English alphabet such as x or n Coefficient - A number multiplied with a variable - Writen in front of the variable Variable Expression - Consist of at least one variable, a coefficient, and sometimes a power or operation - Ex: 10.2x Constant - A number with no variable multiplied with it - Ex: In the expression 3x + 4, 4 is the constant Algebraic Terms - Numbers, variables, or products of numbers and variables that are separated from other terms by addition and or subtraction signs - Variable expressions can have a single term or multiple terms - Ex: The expression 7x + 3x has two terms Reflexive Property of Equality - A quantity is always equal to itself - Ex: a=a Transitive Property of Equality - It two quantities are equal to the same quantity, then they must be equal to each other - Ex: if a = b and b = c, then a = c Symmetric Property of Equality - It two quantities are equal, then it does not matter which quantity is written on the left-hand side of the equal sign and which is written on the right-hand side - Ex: if a = b, then b = a Closure for Addition - If two real numbers are added, then their sum will also be a real number Closure for multiplication - If two real number are multiplied, then their product will also be a real number Substitution Property for Equality - If two quantities are equal, one may replace the other in a true statement and the statement will remain true - Ex: if a + b = c and a = x, then x + b= c Addition Property of Equality - If the quantities on each side of an equal sign are both added by the same amount, the resulting statement will still be equal - Ex: if a = b, then a + c = b + c Subtraction Property of Equality - If the quantities on each side of an equal sign are both subtracted by the same amount, the resulting statement will still be equal - Ex: if a = b, then a-c = b-c Multiplication Property of Equality - If the quantities on each side of an equal sign are both multiplied by the same amount, the resulting statement will still be equal - Ex: if a = b, then ac = bc Division