Download File - HARRISVILLE 7

MATH I VOCABULARY LIST 2
SPRING 2017
T. HARRIS
1. CONSISTENT - a linear or nonlinear system of equations is consistent if there is at least
one set of values for the unknowns that satisfies every equation in the system—that is,
that when substituted into each of the equations makes the equation hold true as an
identity.
2. INCONSISTENT - a system of equations is called an inconsistent system of equations if
there is no solution because the lines are parallel. A dependent system of equations is
when the same line is written in two different forms so that there are infinite solutions.
3. ELIMINATION METHOD - the process of eliminating one of the variables in a system of
equations using addition or subtraction in conjunction with multiplication or division and
solving the system of equations.
4. INTERSECTION POINT - the point in w hich linear equations meet; the solution to a
system of linear equations.
5. SOLUTION OF INEQUALITY - "Solving" systems of linear inequalities means
"graphing each individual inequality, and then finding the overlaps of the various
solutions". So I graph each inequality, and then find the overlapping portions of the
solution regions.
6. SYSTEM OF LINEAR INEQUALITY - system of linear inequalities in two variables
consists of at least two linear inequalities in the same variables and the solution is an
ordered pair.
7. BOUNDARY LINE - the linear inequality divides the coordinate plane into two halves by
a boundary line (the line that corresponds to the function). One side of the boundary line
contains all solutions to the inequality. The boundary line is dashed for > and < and solid
for ≥ and ≤.
8. BOUNDARY (POINTS) - to solve an inequality containing an absolute value, treat the
"<", " ≤ ", ">", or " ≥ " sign as an "=" sign, and solve the equation as in Absolute Value
Equations. The resulting values of x are called boundary points or critical points.
9. EXPONENTIAL GROWTH - a system in which the amount being added to the system is
proportional to the amount already present: the bigger the system is, the greater the
increase.
10. EXPONENTIAL DECAY - when a population or group of something is declining, and the
amount that decreases is proportional to the size of the population, it's called exponential
decay. In exponential decay, the total value decreases but the proportion that leaves
remains constant over time. Original Amount: The amount before the decay occurs.
Decay Factor: The percentage by which the original amount will decline. Exponent:
Time, usually expressed in seconds, minutes, hours, days, or years. Formula: y = a(1 b)x.
11. BASE - a power is the product of multiplying a number by itself. Usually, a power is
represented with a base number and an exponent. The base number tells what number
is being multiplied
12. EXPONENT - a small number written above and to the right of the base number, tells
how many times the base number is being multiplied.
13. ZERO EXPONENT - any number raised to the zero power is always equal to one. Ex.
8^0 = 1
14. NEGATIVE EXPONENT - if you see a negative exponent, flip it to a positive. That is, if
the exponent is negative in the numerator, flip it positive to the denominator. If the
exponent is negative in the denominator, flip it positive to the numerator.
15. SCIENTIFIC NOTATION - is a mathematical expression used to represent a decimal
number between 1 and 10 multiplied by ten, so you can write large numbers using less
digits. An example of scientific notation is when you write 4 x 10³ for 4,000.
16. ANNEX - when you compare two numbers that DO NOT have all the same number of
digits after the decimal point, we can add ZEROS. Annex means add. Compare 0.4 and
0.06. 1. Annex zeros 0.40 0.06 2. Compare 0.40. You can add or attach zeros when
diving to see if the solution will terminate or repeat.
17. EXPONENTIAL FUNCTION 18. PARABOLA - is a curve where any point is at an equal distance from: a fixed point (the
focus ), and. a fixed straight line (the directrix )
19. ASYMPTOTE - is a value that you get closer and closer to, but never quite reach. In
mathematics, an asymptote is a horizontal, vertical, or slanted line that a graph
approaches but never touches.
20. DISCRIMINANT - a parameter of an object or system calculated as an aid to its
classification or solution. In the case of a quadratic equation ax 2 + bx + c = 0, the
discriminant is b 2 − 4ac; for a cubic equation x 3 + ax 2 + bx + c = 0, the discriminant is
a 2b 2 + 18abc − 4b 3 − 4a 3c − 27c. The discriminant of an equation gives an idea of
the number of roots and the nature of roots of the equation. In other words, it
"discriminates" between the possible solutions. The discriminant is the expression found
under the square root part of the quadratic formula (that is, . The value of tells how
many solutions, roots, or x-intercepts the quadratic equation will have. If , there are two
real solutions.
If , there is one real solution.
If , there are no real solutions, but there are two complex imaginary solutions.
To find the solutions, manipulate the quadratic equation to standard form (), determine a,
b, and c, and plug those values into the discriminant formula.
21. QUADRATIC FORMULA - is used in algebra to solve quadratic equations (polynomial
equations of the second degree). The general form of a quadratic equation is , where x
represents a variable, and a, b, and c are constants, with . A quadratic equation has two
solutions, called roots. However, when the quadratic equation is difficult to solve, the
quadratic formula is used to find the solutions. Remember that the symbol "±" indicates
that both and are solutions to the quadratic equation.