Lesson Review

Directions: Solve the following equations by using the rules for removing the parentheses.

1. 2(x - 3) = 32

2. 6(2x + 4) = 24

3. 3(3s + 4) = 21

4. 6(c - 2) = 4(c + 3)

5. 12(r - 3) = 6(r + 3)

6. 3(x + 5) = 30

7. 6(b + 2) = 3(b-2)

8. 2(c - 2) = 16

9. 4(y + 2) = 28

10. 2(d - 2) = 2(d + 3)

11. 5(L + 5) = 35

12. 2(k - 2) = 44

13. p - 9 = 11

14. 3(s + 3) = 27

15. 5(a - 3) = 45

answer: 88

step-by-step explanation:

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: