Unit 3
Initial value
In mathematics, in the field of differential equations, an initial value problem (also called the Cauchy problem by some authors) is an ordinary differential equation together with a specified value, called the initial condition, of the unknown function at a given point in the domain of the solution.
Substitution
Substitution "Substitute" means to put in the place of another
Slope intercept form
The Meaning of Slope and y-Intercept. in the Context of Word Problems. In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept, where the line crosses the y-axis.
Non-linear
not denoting, involving, or arranged in a straight line.
One solution
Any and all value(s) of the variable(s) that satisfies an equation, inequality, system of equations, or system of inequalities. With a system of equations or system of inequalities, the solution set is the set containing value(s) of the variable(s) that satisfy all equations and/or inequalities in the system.
Combine like terms
Are all like terms because the variables are all xy 2 Unlike terms If they are not like terms, they are called " Unlike terms
System of equations
Common Variables For the equations to "work together" they share one or more variables:
Constant rate of change
Definition 2 (Constant rates of change) The (constant) rate of change with respect to the variable x of a linear function y = f(x) is the slope of its graph.
Coefficient
Definition of Coefficient more ... A number used to multiply a variable. Example: 6z means 6 times z, and "z" is a variable, so 6 is a Coefficient. Sometimes a letter stands in for the number.
Constant
Definition of Constant more ... A fixed value. In Algebra, a Constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number.
Term
Definition of Term more ... In Algebra a Term is either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or − signs See: Variable Algebra
Variable
Definition of Variable more ... A symbol for a number we don't know yet. It is usually a letter like x or y. Example: in x + 2 = 6, x is the Variable.
Distributive property
In general, this term refers to the distributive property of multiplication which states that the. Definition: The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
Unit rate
In math, the unit rate is a comparison of two different quantities when they are combined together. Discover the definition of the unit rate in math with tips from a mathematics tutor in this free video on math lessons
Elimination
Eliminate" means to remove
Expression
Expression more ... Numbers, symbols and operators (such as + and ×) grouped together that show the value of something.
Slope
How steep a straight line is. In this example the slope is 3/5 = 0.6
Infinitely many solutions
Infinite solutions would mean that any value for the variable would make the equation true.
Infinite solution
Infinite solutions would mean that any value for the variable would make the equation true. No Solution Equations. Let's look at the following equation: Note that we have variables on both sides of the equation. So we'll subtract from both sides to eliminate the on the right side of the equation.
No solution
No solution would mean that there is no answer to the equation.
Proportions
Proportion says that two ratios (or fractions) are equal.
Inverse operation
The operation that reverses the effect of another operation.
Equation
a statement that the values of two mathematical expressions are equal
Y-intercept
Y Intercept more ... Where a straight line crosses the Y axis of a graph.
Linear
arranged in or extending along a straight or nearly straight line.