Algebra 1 Predicting Patterns & Examining Experiments

1. Algebra 1Predicting Patterns & Examining Experiments Unit 4: Twice the Change Section 2: Two Constant Changes

2. How many months to have the same cost? Uptown Cable, a cable TV provider, charges each customer $120 for installation, plus $25 per month for cable programming. Uptown’s competitor, Downtown Cable, charges each customer $60 for installation, plus $35 per month for cable programming. For how many months of service do the two Cable companies cost the same?

3. How many months to have the same cost? Uptown Cable, a cable TV provider, charges each customer $120 for installation, plus $25 per month for cable programming. Uptown’s competitor, Downtown Cable, charges each customer $60 for installation, plus $35 per month for cable programming. For how many months of service do the two Cable companies cost the same?

4. How many months to have the same cost? Uptown Cable, a cable TV provider, charges each customer $120 for installation, plus $25 per month for cable programming. Uptown’s competitor, Downtown Cable, charges each customer $60 for installation, plus $35 per month for cable programming. For how many months of service do the two Cable companies cost the same?

5. How many months to have the same cost? Uptown Cable, a cable TV provider, charges each customer $120 for installation, plus $25 per month for cable programming. Uptown’s competitor, Downtown Cable, charges each customer $60 for installation, plus $35 per month for cable programming. For how many months of service do the two Cable companies cost the same?

6. How many months to have the same cost? Uptown Cable, a cable TV provider, charges each customer $120 for installation, plus $25 per month for cable programming. Uptown’s competitor, Downtown Cable, charges each customer $60 for installation, plus $35 per month for cable programming. For how many months of service do the two Cable companies cost the same? =

7. How many months to have the same cost? Uptown Cable, a cable TV provider, charges each customer $120 for installation, plus $25 per month for cable programming. Uptown’s competitor, Downtown Cable, charges each customer $60 for installation, plus $35 per month for cable programming. For how many months of service do the two Cable companies cost the same? How do we solve an equation that is one line equal to another?

8. How many months to have the same cost? Uptown Cable, a cable TV provider, charges each customer $120 for installation, plus $25 per month for cable programming. Uptown’s competitor, Downtown Cable, charges each customer $60 for installation, plus $35 per month for cable programming. For how many months of service do the two Cable companies cost the same? How do we solve an equation that is one line equal to another?

9. How many months to have the same cost? Uptown Cable, a cable TV provider, charges each customer $120 for installation, plus $25 per month for cable programming. Uptown’s competitor, Downtown Cable, charges each customer $60 for installation, plus $35 per month for cable programming. For how many months of service do the two Cable companies cost the same? How do we solve an equation that is one line equal to another? the same way we solve it every night

10. How many months to have the same cost? Uptown Cable, a cable TV provider, charges each customer $120 for installation, plus $25 per month for cable programming. Uptown’s competitor, Downtown Cable, charges each customer $60 for installation, plus $35 per month for cable programming. For how many months of service do the two Cable companies cost the same? How do we solve an equation that is one line equal to another? the same way we solve it every night using the additive & multiplicative properties of equality, distributive property, and combining like terms

11. How many months to have the same cost? Uptown Cable, a cable TV provider, charges each customer $120 for installation, plus $25 per month for cable programming. Uptown’s competitor, Downtown Cable, charges each customer $60 for installation, plus $35 per month for cable programming. For how many months of service do the two Cable companies cost the same? let’s get all of the x’s over here combine like terms

12. How many months to have the same cost? Uptown Cable, a cable TV provider, charges each customer $120 for installation, plus $25 per month for cable programming. Uptown’s competitor, Downtown Cable, charges each customer $60 for installation, plus $35 per month for cable programming. For how many months of service do the two Cable companies cost the same? let’s get all of the x’s over here and all of the numbers over here combine like terms

13. How many months to have the same cost? Uptown Cable, a cable TV provider, charges each customer $120 for installation, plus $25 per month for cable programming. Uptown’s competitor, Downtown Cable, charges each customer $60 for installation, plus $35 per month for cable programming. For how many months of service do the two Cable companies cost the same? let’s get all of the x’s over here

14. How many months to have the same cost? Uptown Cable, a cable TV provider, charges each customer $120 for installation, plus $25 per month for cable programming. Uptown’s competitor, Downtown Cable, charges each customer $60 for installation, plus $35 per month for cable programming. For how many months of service do the two Cable companies cost the same? let’s get all of the x’s over here

15. How many months to have the same cost? Uptown Cable, a cable TV provider, charges each customer $120 for installation, plus $25 per month for cable programming. Uptown’s competitor, Downtown Cable, charges each customer $60 for installation, plus $35 per month for cable programming. For how many months of service do the two Cable companies cost the same? let’s get all of the x’s over here and all of the numbers over here

16. How many months to have the same cost? Uptown Cable, a cable TV provider, charges each customer $120 for installation, plus $25 per month for cable programming. Uptown’s competitor, Downtown Cable, charges each customer $60 for installation, plus $35 per month for cable programming. For how many months of service do the two Cable companies cost the same? let’s get all of the x’s over here and all of the numbers over here

17. How many months to have the same cost? Uptown Cable, a cable TV provider, charges each customer $120 for installation, plus $25 per month for cable programming. Uptown’s competitor, Downtown Cable, charges each customer $60 for installation, plus $35 per month for cable programming. For how many months of service do the two Cable companies cost the same? let’s get all of the x’s over here and all of the numbers over here

18. How many months to have the same cost? Uptown Cable, a cable TV provider, charges each customer $120 for installation, plus $25 per month for cable programming. Uptown’s competitor, Downtown Cable, charges each customer $60 for installation, plus $35 per month for cable programming. For how many months of service do the two Cable companies cost the same? let’s get all of the x’s over here and all of the numbers over here

19. How many months to have the same cost? Uptown Cable, a cable TV provider, charges each customer $120 for installation, plus $25 per month for cable programming. Uptown’s competitor, Downtown Cable, charges each customer $60 for installation, plus $35 per month for cable programming. For how many months of service do the two Cable companies cost the same? let’s get all of the x’s over here and all of the numbers over here

20. How many months to have the same cost? Uptown Cable, a cable TV provider, charges each customer $120 for installation, plus $25 per month for cable programming. Uptown’s competitor, Downtown Cable, charges each customer $60 for installation, plus $35 per month for cable programming. For how many months of service do the two Cable companies cost the same?

21. How many months to have the same cost? Uptown Cable, a cable TV provider, charges each customer $120 for installation, plus $25 per month for cable programming. Uptown’s competitor, Downtown Cable, charges each customer $60 for installation, plus $35 per month for cable programming. For how many months of service do the two Cable companies cost the same?

22. How many months to have the same cost? Uptown Cable, a cable TV provider, charges each customer $120 for installation, plus $25 per month for cable programming. Uptown’s competitor, Downtown Cable, charges each customer $60 for installation, plus $35 per month for cable programming. For how many months of service do the two Cable companies cost the same?

23. How many months to have the same cost? Uptown Cable, a cable TV provider, charges each customer $120 for installation, plus $25 per month for cable programming. Uptown’s competitor, Downtown Cable, charges each customer $60 for installation, plus $35 per month for cable programming. For how many months of service do the two Cable companies cost the same? After six months, the two companies have cost the same, $270.

24. How many months to have the same cost? Uptown Cable, a cable TV provider, charges each customer $120 for installation, plus $25 per month for cable programming. Uptown’s competitor, Downtown Cable, charges each customer $60 for installation, plus $35 per month for cable programming. For how many months of service do the two Cable companies cost the same? After six months, the two companies have cost the same, $270. ( 6 , 270 ) y = 25x + 120 y = 35x + 60

25. When do the lines intersect?

26. When do the lines intersect? In a numeric solution, we are looking for one point that is found on both lines. So, for one x-value, we want the same y-value.

27. When do the lines intersect? y-intercepts

28. When do the lines intersect? slope = 1 slope = -2 slopes are constant change

29. When do the lines intersect? slope = 1 slope = -2 continue the pattern

30. When do the lines intersect? slope = 1 slope = -2 continue the pattern

31. When do the lines intersect? In a numeric solution, we are looking for one point that is found on both lines. So, for one x-value, we want the same y-value.

32. When do the lines intersect? The two lines intersect at ( 3 , –2 ).

33. When do the lines intersect? The two lines intersect at ( 3 , –2 ).

34. When do the lines intersect? In an analytic solution, we are looking for one point that is found on both lines. So, for one x-value, we want the same y-value.

35. When do the lines intersect? In an analytic solution, we are looking for one point that is found on both lines. So, for one x-value, we want the same y-value.

36. When do the lines intersect? In an analytic solution, we are looking for one point that is found on both lines. So, for one x-value, we want the same y-value.

37. When do the lines intersect? In an analytic solution, we are looking for one point that is found on both lines. So, for one x-value, we want the same y-value.

38. When do the lines intersect? The two lines intersect at ( 3 , –2 ).

39. When do the lines intersect?

40. When do the lines intersect? ≈ ( 2.3 , 1.8 ) ?

41. When do the lines intersect? Graphic solution is not that helpful... even with the computer. ≈ ( 2.3 , 1.8 ) ?

42. When do the lines intersect?

43. When do the lines intersect?

44. When do the lines intersect? Where’s the solution?

45. When do the lines intersect? Where’s the solution?

46. When do the lines intersect? Where’s the solution? ≈ ( 2.3 , 1.8 ) ?

47. When do the lines intersect?

48. When do the lines intersect?

49. When do the lines intersect?

50. When do the lines intersect?