Coefficient
a constant quantity placed before and multiplying the variable
a constant quantity placed before and multiplying the variable
Combining Like Terms
Used to simplify an expression by adding and subtracting polynomials
Used to simplify an expression by adding and subtracting polynomials
Constant
A number that occurs continuously. A number in an equation that does not change
A number that occurs continuously. A number in an equation that does not change
Contradictions
Two or more things that cannot both be true.
Two or more things that cannot both be true.
Distributive Property
The rule that allows you to expand the parentheses.
The rule that allows you to expand the parentheses.
Equation
A statement that the values of two mathematical expressions are equal.
A statement that the values of two mathematical expressions are equal.
Expression
A mathematical phrase that combines numbers and/or variables.
A mathematical phrase that combines numbers and/or variables.
Identity
An equation which is true regardless of what variables are substituted.
An equation which is true regardless of what variables are substituted.
Inequality
Greater than, less than, or equal to.
Greater than, less than, or equal to.
Reciprocal
A reciprocal, or multiplicative inverse, is simply one of a pair of numbers that, when multiplied together, equal 1. If you can reduce the number to a fraction, finding the reciprocal is simply a matter of transposing the numerator and the denominator.
A reciprocal, or multiplicative inverse, is simply one of a pair of numbers that, when multiplied together, equal 1. If you can reduce the number to a fraction, finding the reciprocal is simply a matter of transposing the numerator and the denominator.
Solution
A value you can put in place of a variable.
A value you can put in place of a variable.
Term
A single number or variable or numbers and variables multiplied together.
A single number or variable or numbers and variables multiplied together.
Variable
A letter that is set as a placeholder for a specific number in equations.
Not consistent or having a fixed pattern.
A letter that is set as a placeholder for a specific number in equations.
Not consistent or having a fixed pattern.
Addition Property of Equality:
If A=B then A+C=B+C
If A=B then A+C=B+C
Subtraction Property of Equality:
If A=B then A-C=B-C
If A=B then A-C=B-C
Multiplication Property of Equality:
If A=B then AC=BC
If A=B then AC=BC
Division Property of Equality:
If A=B then A/C=B/C as long as C does not equal 0
If A=B then A/C=B/C as long as C does not equal 0