TERM 2 CO1 MATH 165

is a statement about the equality of two expressions.

equation

The values that satisfy an equation are called

solutions or roots

are equations that have exactly the same solution or solutions.

equivalent equations

An equation that has no solutions is called a

contradiction

An equation that is true for some values of the variable but not true for other values of the variable is called a

conditional equation

is an equation that is true for all values of the variable for which all terms of the equation are defined.

identity

or first-degree equation, in the single variable x is an equation that can be written in the form:

𝑎𝑥 + 𝑏 = 0

where a and b are real numbers, with a ¹ 0

linear equation

standard form of quadratic equation

ax² + bx + c = 0

where a, b, and c are real numbers and a does not equal to 0

applies the zero product property

factoring method

one unique solution

(independent, consistent)

an infinitely many solutions

(dependent, consistent)

no solution at all

(inconsistent).

In two variables, the graph of a linear equation is a

line

In three variables, however, the graph of a linear equation is a

plane

contain expressions that are nonlinear

nonlinear inequalities