Learning target #1: i can write equivalent fractions with different denominators.

equivalent fractions have
value but look

lowest terms: when the numerator and denominator of a fraction can only be divided

ratio: a comparison
quantities by division (a

proportion:
ratios

cross products: products of
of one fraction and the denominator of the other

Same value but look different

Step-by-step explanation:

3/4 x 2/2 = 6/8  

2/3 x 4/4 = 8/12

both of 6/8 is equivalent to 3/4

8/12 is equivalent to 2/3

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: