Graphs can help you see patterns in data. Steps to draw a graph: 1)Choose the scales and the intervals. 2)Draw the graph and plot the data. Estimate data points that fall between intervals.

10.About $7 11.About $8 12. About 81 hours

 sequence – set of numbers that follow pattern  arithmetic sequence – find each term by adding a fixed number (common difference)  Example: 3, 5, 7, 9, …  geometric sequence – find each term by multiplying previous term by fixed number (common ratio)  Example: 3, 9, 27, 81, ……

The sequence is not arithmetic or geometric if there is no common difference or common ratio. Conjecture – prediction that suggests what you expect to happen Example: 3, 5, 8, 12, 17, …….

6. Start with -8 and add 7 repeatedly; 20, 27, Start with 25 and add -4 repeatedly; 9, 5, 1

8. Start with 1 and multiply by 2 repeatedly; 16, 32, Start with 2 and multiply by -3 repeatedly; 162, -486, Start with 600 and multiply by -½ repeatedly; -75, 37.5, Start with ½ and multiply by ½ repeatedly; 1/32, 1/64, 1/ Start with -2 and multiply by -2 repeatedly; -32, 64, Start with ¼ and multiply by 1/3 repeatedly; 1/324, 1/972, 1/2916

14. Neither 15. Neither 16. Geometric 17. Both 18. Geometric 19. arithmetic

You can use a table to represent a pattern. Often you can make a table as your first step in solving a problem. Given a rule, you can find the value of a term using the position. Let n = the term number.

7. 4,5,6,7 8. 2, 6, 10, , 10, 15, , 13, 19, ¼, ½, ¾, , 1, 6, 13

24, n Multiply each term by 4 24, 28

13. 11n; N – 20; n/2; n; n; n; 1000

Function – a relationship that assigns exactly one output value for each input value Distance you travel in car depends on time you drive.  X is the input  Y is the output

output = 2 * inputoutput = 45 * input

y = x + 4 y = 3x + 5 y = -9x + 1 y = -8x

y = x + 4 y = 3x + 5 y = -9x + 1 y = -8x

60 mph yes d = 60t Input Output

x12345x12345 y -1/2 -3/ /2 x12345x12345 Y

10. C 11. A 12. B

You can use a graph to show the relationship of how one quantity changes compared to another.

formula – a rule that shows the relationship between two or more quantities Solve each equation for the variable in red.

formula – a rule that shows the relationship between two or more quantities Solve each equation for the variable in red. y = x/z u = 2t - v r = p + 5 3

Solve each equation for the variable in red.

s =p/4 p = qr s = p + c

Solve each equation for the variable in red. h = 2A/b k = hj t = I/pr