MATH MIDTERM

¡Supera tus tareas y exámenes ahora con Quizwiz!

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.


Conjuntos de estudio relacionados

PH solutions, solubility, concentration, acids question/answer

View Set

Fitness and Wellness Chapter 1: Physical Fitness and Wellness

View Set

N204, Fall 2018 - Midterm Practice Questions

View Set

La Conjugaison de verbes suivants

View Set

EXW 105 Command, Control, Communications and Intel Fundamentals

View Set

Hypothalamus and hypophysis cerebri

View Set

BIOLOGY - Chapter 30 - vocabulary and questions

View Set