MATH MIDTERM
origin coordinate
(0,0)
slope of a horizontal line
0
Solution
An ORDERED PAIR that satisfies both equations. When substituted for each equation, it makes it a true statement.
Standard Form
Ax + By = C - Numeral Co is positive - No fractions
if tinanong ni ms trish that is passes through the origin and there's a slope it means...
You will use point slope form because coordinates of origin is (0,0)
if tinanong ni ms trish ano y intercept and slope it means...
You're going to make it slope intercept form
consistent dependent(graph)
consciding
To solve for which kind of system you can...
convert to slope intercept form Substitution Elimination Graphing
Elimination
eliminates a variable in one of the equations by adding/subtracting similar terms
Inconsistent(slope)
equal
consistent dependent(slope)
equal
consistent dependent(y intercept)
equal
consistent independent(y intercept)
equal/not equal
consistent independent(solution)
exactly 1 solution
y (horizontal or vertical)
horizontal
consistent dependent(solution)
infinitely many
If ms trish asks the x intercept you will...
make y=0
Inconsistent(y intercept)
not equal
consistent independent(slope)
not equal
To eliminate the given must have...
opposites (if wala edi ikaw gumawa opposites by finding GCF oo basta)
Inconsistent(graph)
parallel
If ms trish gives a slope and a x intercept what method will you use
point slope form. because coordinates of X is like (x,0)
y - intercept
point where the line intersects y axis
Intercepts
points where the line intersects an axis
Checking of systems of linear equations
substitution
Substitution is appropriate for...
systems that contain atleast 1 variable with a numeral co of 1 or -1
In systems of linear equations by graphing, what is the solution?
the coordinates of the points of intersection
A solution can be determined graphically and algebraically(true or false)
true
Systems of Linear equations
two or more linear equations involving two or more unknowns
slope of a vertical line
undefined
x (horizontal or vertical)
vertical
a represents
x intercept
Two point Form
y - y1 = (y2 - y1 / x2 - x1) (x - x1)
Point Slope Form
y - y1 = m (x - x1)
Slope Intercept Form
y = mx + b m = slope b = y intercept
b represents
y intercept
Intercepts method
y=0, x=0
In transposing will the signs change or not
yes it will change. Lilipat kana nga sa side ng iba hindi ka pa magbabago
Solving algebraically benefits
you can yield exact solutions unlike graphing
3 systems of linear equations
Consistent Dependent, Consistent Independent, Inconsistent
If the sagot is equal then it means...
DEPENDENT
If the sagot has no variable like 5 = -3 it means...
INCONSISTENT (No solution)
consistent independent(graph)
Intersecting
Inconsistent(solution)
No solution
If (3,0) where is the point?
On the X axis
Substitution is based on substitution principle, what is this?
Substitution principle: A quantity may be substituted for its equal.
If it not stated whether to write the answer in standard form or in slope intercept form, automatically the answer should be in standard form(true or false)
TRUE
x and y intercepts are two different points (true or false)
TRUE.
If the slope is unequal and the y intercepts are equal it means...
The solution of the system is the y intercepts of the equations.
