Algebra 2 Name: ______
Thanksgiving Review Extra Credit
**Complete this ENTIRE WORKSHEET (all 25!!) over the Holiday Break and bring to me the FIRST Day after break. (11/28/11) by 8:35am) to receive bonus points!! I WILL NOT ACCEPT IT ANY LATER...NO EXCEPTIONS!!! It will be worth it! Earn up to 5 points on your next test based on the number correct. J Enjoy your Holiday.....Gobble-Gobble-Gobble
Show all WORK for each problem. Must SHOW WORK to get credit. Put final answers in the rectangles.
1. Solve the following equation below:
2. Solve the following equation below:
3. Solve the following inequality below:
4. Find the domain and range of the following graph. Answers should be in both Builder Notation and Interval Notation.
5. Charles’s law states that when pressure is constant, the volume (V) of gas varies inversely with its temperature (T) in Kelvins. A gas occupies 5.3 liters at a temperature of 220 kelvins. What is the volume of the gas when the temperature is 320K. Round answers to 1 decimal place. Use correct Units on answers.
6. The following table shows the survey results for years of experience a sales person has versus the sales sold by that person in thousands of dollars.
Yrs Exp(x) / 4 / 7 / 8 / 1 / 6 / 3 / 5 / 2 / 9 / 6 / 7 / 10Total Sales
($K)(y) / 31 / 42 / 47 / 18 / 37 / 31 / 32 / 25 / 51 / 41 / 45 / 51
Write a prediction equation for this data using the Linear Regression feature of the graphing calculator. Round answers to 2 decimal places. Then use that equation to predict the total sales for someone with 14 years experience?
8. Using your understanding of transformations, write the equation for the graph below:
7. Re-arrange the following system of equations into y = mx + b format and then circle whether the system of equations has one solution, no solution, or infinite solutions (Circle One)
8. Graph the following system of equations and then write the final solution in the rectangle:
9. Graph the following system of equations and shade the final common solution area. Your graph is the final answer. Use a colored pencil to shade the final solution area:
10. Solve the following system of equations using Substitution. Show all steps!
11. Solve the following system of equations using Elimination. Show all steps!
12. Write a matrix equation for the following system of equations and then solve using matrices on the calculator.
13. The student council at Colleyville Heritage High School sold a total of 220 brownies and cookies during its fund-raiser. Each brownie sold for $0.75, and each cookie sold for $0.50. The student council made $136.50 from the sales of brownies and cookies. How many brownies and cookies were sold? Write a system of equations to represent this problem and then solve by any method.
14. Given the following quadratic equations in Standard Format, find the AOS, Vertex Point, and y-intercept manually. Show all work.
15. Given the following quadratic equations in Vertex Format, find the AOS, Vertex Point, and y-intercept. Show all work.
16. Given the following quadratic equation, factor it to find all solutions.
17. Given the following quadratic equation. Use the calculator to find the Vertex Point, AOS, and solutions. Round answers to 1 decimal place.
18. Given a football punt is modeled by the equation below. The height (y) and horizontal distance (x) are both in feet. Find the height the ball was when the kicker’s foot contacted the ball, the maximum height the football reached, and how far it went down field before hitting the ground. Round all answers to 1 decimal place. Use correct units on your answers.
Use transformations to graph each quadratic accurately and then state the Equation of the AOS and draw it on your graph as a dashed line, state the Vertex and label whether it is a max or min. You shouldn’t need a calc.
20. y = (x + 1)2+ 3
Vertex______
AOS ______
Factor the following expressions completely.
21. 7c2 – 49 22. 16x2 – 25 23. 81x4 - 16
Factor and Solve:
24. x2 – 11x + 18 = 0 25. 2x2 – 3x – 9 = 0
Factors: Factors:
Solve: Solve:
Pg 1 of 7