Name Class Date
1. y < x 2. y ³ 3x – 4 3. 3x £ 5y 4. –2y £ –x – 2
5. You have a $25 calling card. Calls made using the card within the United States cost $.10 per minute while calls made from the US to France cost $.25 per minute.
a. Write an inequality that relates the number of minutes x you can use for calls within the U.S. and the number of minutes y you can use for calls from the U.S. to France.
b. Graph the inequality.
Graph each absolute value inequality.
6. y > | x + 2 | 7. y > | x | + 2 8.
Write an inequality for each graph.
9. 10. 11.
12. 13. 14.
15. A salesperson sells two models of vacuum cleaners. One brand sells for $150 each and the other sells for $200 each. The salesperson has a weekly sales goal of at least $1800.
a. Write an inequality relating the revenue from the vacuum cleaners to the sales goal.
b. Graph the inequality.
c. If the salesperson sold exactly six $200 models last week, how many $150 models did she have to sell to make her sales goal?
Name Class Date
9.1 Practice
Mathematical Patterns Form G
Arithmetic an = a1 + d (n – 1) Geometric an = a1 (r) n
Find the first six terms of each sequence.
1. 2. 3.
Write a recursive definition for each sequence.
4. –14, − 8, − 2, 4, 10, … 5.
6. 1, − 2, 4, − 8, 16, … 7. 1, 3, 9, 27, …
Write an explicit formula for each sequence. Find the twentieth term.
8. 7, 14, 21, 28, 35, … 9. 5, 6, 7, 8, 9, …
Find the eighth term of each sequence.
10. − 6, − 9, − 12, − 15, − 18,… 11. 400, 200, 100, 50, 25, …
12. A man swims 1.5 mi on Monday, 1.6 mi on Tuesday, 1.8 mi on Wednesday, 2.1 mi on Thursday, and 2.5 mi on Friday. If the pattern continues, how many miles will he swim on Saturday?
13. The sum of the measures of the exterior angles of any polygon is 360°. All the angles have the same measure in a regular polygon.
a. Find the measure of one exterior angle in a regular hexagon (six angles).
b. Write an explicit formula for the measure of one exterior angle in a regular polygon with n angles.
c. Why would this formula not be meaningful for n = 1 or n = 2?
14. Writing Explain the difference between a recursive and an explicit formula.
15. Open-Ended Write five terms in a sequence. Describe the sequence using a recursive or explicit formula.