Use the distributive property to rewrite each algebraic expression: do not solve, just rewrite.

1) 8(x + 7) =

2) 5(x - 10) =

3) 6(11 + x) =

factor each expression. (pull a common factor from each number)

completed example: 27 + 12 = 3(9 + 4) → (3 is the shared factor for 27 and 12)

4) 12 + 36 =

5) 16 + 20 =

solve each expression using the distributive property.

6) 4 x 82

7) 12 x 44

8) mrs. s bought 9 folders and 9 notebooks. the cost of each folder was $2.50. each notebook cost $4. first, write an expression for the problem then find the total cost.

expression =

total cost =

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

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: