Linear and Quadratic Equations

Question 1

linear equation

Answer 1

equation with 1 or more variables, variables raised only to first power (10x+20=40)

Question 2

solving linear equation

Answer 2

1. isolating a variable and then pluck in in the other equation
2. subtracting 2 equations
3. combination by addition

Question 3

combining equations when the coefficients are different

Answer 3

multiply one equation to get a same coefficient of the other equation
6x+9y=12
2x+y=3 /* 3…
or multiply both equations to get same coeff

Question 4

solving for variables in 3 equations

Answer 4

same, more combinations

Question 5

equation with fractions

Answer 5

solving by multiplying the denominators by their lcm

Question 6

x in terms of y

Answer 6

means isolate x and set equal to some expression of y

x=3y

Question 7

product of 2 (a and b) integers is 1 then a,b=?

Answer 7

1,1 or -1,-1

Question 8

the zero product property

Answer 8

if the product of 2 quantities is =0 then at least one quantity=0

Question 9

quadratic equation + general form

Answer 9

contains a variable raised to 2 power

ax^2+bx+c=0

Question 10

FOIL quadratic expression

Answer 10

from (x+p)(x+q)=0

Question 11

3 quadratic identities

Answer 11

(x+y)^2= (x+y)(x+y)= x^2+2xy+y^2
(x-y)^2= (x-y)(x-y)= x^2-2xy+y^2
(x+y)(x-y)=x^2-y^2

Question 12

if x diverso da y, x-y/y-x=

Answer 12

-1

Question 13

are 2 equations always sufficient to determine the values of 2 varibales?

Answer 13

no, especially when one equation is multiple of the other one

Question 14

quadratic equations can have how many soolutions

Answer 14

1 or 2

Question 15

when can you divide equation by a variable

Answer 15

only when the variable is not equal to 0

Question 16

factoring out common factors

Answer 16

ab+ac=d

a(b+c)=d

Question 17

squares & roots of fractions

Answer 17

(a/b)^2= a^2/b^2

same with the roots

Question 18

factoring quadratic equation

Answer 18

1. must be put in the general form first ax^2+bx+c=0

2. (x+p)(x+q)=0