1. Chapter 2 Section 2

2. State whether is a linear function. Explain. Answer: This is a linear function because it is in the form

3. Answer:This is not a linear function because x has an exponent other than 1. State whether is a linear function. Explain.

4. Answer:This is a linear function because it can be written as

5. State whether each function is a linear function. Explain. a. b. c. Answer: yes; Answer:No; x has an exponent other than 1. Answer:No; two variables are multiplied together.

6. Meteorology The linear function can be used to find the number of degrees Fahrenheit, f (C), that are equivalent to a given number of degrees Celsius, C. On the Celsius scale, normal body temperature is 37  C. What is normal body temperature in degrees Fahrenheit? Original function Substitute. Simplify. Answer:Normal body temperature, in degrees Fahrenheit, is 98.6  F.

7. There are 100 Celsius degrees between the freezing and boiling points of water and 180 Fahrenheit degrees between these two points. How many Fahrenheit degrees equal 1 Celsius degree? Answer: 1.8  F = 1  C Divide 180 Fahrenheit degrees by 100 Celsius degrees.

8. Meteorology The linear functioncan be used to find the distance d (s) in miles from a storm, based on the number of seconds s that it takes to hear thunder after seeing lightning. a.If you hear thunder 10 seconds after seeing lightning, how far away is the storm? b.If the storm is 3 miles away, how long will it take to hear thunder after seeing lightning? Answer: 2 miles Answer: 15 seconds

9. Writein standard form. Identify A, B, and C. Original equation Subtract 3x from each side. Multiply each side by –1 so that A  0. Answer: and

10. Writein standard form. Identify A, B, and C. Original equation Subtract 2y from each side. Multiply each side by –3 so that the coefficients are all integers. Answer: and

11. Writein standard form. Identify A, B, and C. Original equation Subtract 4 from each side. Divide each side by 2 so that the coefficients have a GCF of 1. Answer: and

12. Write each equation in standard form. Identify A, B, and C. a. b. c. Answer: and Answer:and Answer: and

13. Find the x -intercept and the y -intercept of the graph of Then graph the equation. The x -intercept is the value of x when The x -intercept is –2. The graph crosses the x -axis at (–2, 0). Original equation Substitute 0 for y. Add 4 to each side. Divide each side by –2.

14. The y -intercept is 4. The graph crosses the y -axis at (0, 4). Likewise, the y -intercept is the value of y when Original equation Substitute 0 for x. Add 4 to each side.

15. Use the ordered pairs to graph this equation. Answer:The x -intercept is –2, and the y -intercept is 4. (0, 4) (–2, 0)

16. Find the x -intercept and the y -intercept of the graph of Then graph the equation. Answer:The x -intercept is –2, and the y -intercept is 6.