Math 110                                                                                               Name:

                                                                                                               Date:  

Test I: Math 90 Review and Chapter 2                                              

Directions: Show all work to get full credit.  

Part I: Only scientific calculators allowed.  

1. Simplify: 

2. Simplify: 

3. Factor:

4. Find the equation of the line that parallel to the line and contains the point (8, 0).

5. Answer the following questions based on the line sketched below:

1. What is the slope?                               ____________________

2. What is the y-intercept point?           ____________________

3. What is the equation of this line?     ____________________

6. Situation:  Max is the manager of Old School Records. His starting salary was $35,000. Max is such a great employee that the owner agreed to give him a fixed raise of $2,000 annually. Write an equation that represents Max’s salary after working at Old School Records for x years.

              * Also, clearly identify what is given and what the variables represent as done in class.

                 Givens

Variables

   x =

                    y =

                Equation

7. Find the equation of the line that contains the points (3, 5) and (4, 2).

8. Is the graph below a function: Yes or No?

9. Given  and  evaluate the functions for parts ‘a’ and ‘b’. Use proper function notation throughout your work!!

10. Circle all the equations given below that are LINEAR FUNCTIONS:

Y = 3

 Y =

Y = 2 X + 1

Y = X

Y = X

11.    The table below represents a linear function where the money a person earns at a job depends on  

           the number of hours worked. 

 a.        What is the y-intercept point? Also, give a sentence explaining what the y-intercept means in the context of this situation. Be specific.

b.       What is the slope value? Also, give a sentence explaining what the slope value means in the context of this situation. Be specific.

c.        What is the linear equation that models this situation?   

12. Does the following situation represent a constant function OR an identity function? Explain.

 Situation: Marie is eating dinner at an “All-You-Can-Eat for $9.99” restaurant.

Input, x:   the number of servings

Output, y:  the total cost of the dinner

Part II:  Both scientific and graphing calculators are allowed.

13.  Generate a table of values forwhere x = {-2, -1, 0, 1, 2}.

14. Linear regression equation problem:

Situation: The data in the table below represents the world paper production for various years.

Determine the linear regression equation that gives the relationship between the variables “year” and “world natural paper production” measured in millions of tons. Don’t forget to state what x and y represent in the Variables section!!

Note: Use x = 0 for year 1988, x = 1 for year 1989, etc. 

Variables

  x =

  y =  

Linear regression equation:     

Question:  Assuming paper production continues at this rate, make a prediction using your model!  What will the world’s paper production be in the year 2005?

EXTRA CREDIT  

15. State the domain and range of the function that is sketched below:

Domain: ____________  
Range: ____________