FOR PHYLLIS YOUNG ONLY

1) Solve the equation. If the equation has a unique solution, please show the complete check of your answer.

 

 

 

 

 

2) Solve the equation. If the equation has a unique solution, please show the complete check of your answer.

 

 

 

 

 

3) Solve the equation. If the equation has a unique solution, please show the complete check of your answer.

 

 

 

 

 

 

4) Solve the inequality. Write your answer in interval notation and graph the solution set on a number line.

 

 

 

 

 

5) Solve the inequality. Write your answer in interval notation and graph the solution set on a number line.

 

 

 

 

 

6) Solve the inequality. Write your answer in interval notation and graph the solution set on a number line.

 

 

 

 

 

 

7) Solve the inequality. Write your answer in interval notation and graph the solution set on a number line.

 

 

 

 

 

8) After Eleanor received a 4.25% raise, her new annual salary was $46,391.25. What was her annual salary before the raise?

 

 

9) Benjamin wins $600,000 (after taxes) in the lottery and decides to invest half of it in a 10-year CD that pays 4.32% interest compounded quarterly. He invests the other half in a money market fund that unfortunately turns out to average only 2.6% interest compounded annually over the 10-year period. How much money will he have altogether in the two accounts at the end of the 10-year period?

 

 

 

10) The average annual tuition and fees at all 4-year institutions in the US in 2003 was $18,961 and in 2011 was $ 23,066. Let y be the average tuition and fees in the year x, where x = 0 represents the year 2003.

 

a) Write a linear equation, in slope-intercept form, that models the growth in average tuition and fees at all 4-year institutions in the US in terms of the year x.

 

 

 

 

 

 

 

 

 

 

 

 

b) Use this equation to predict the average tuition and fees at 4-year institutions in the US in the year 2020.

 

 

 

 

 

 

 

 

 

 

c) Explain what the slope of this line means in the context of the problem.

 

 

11) Given the linear equation : 

 

a) Find both intercepts of the equation. Show all work and state intercepts as ordered pairs.

 

x-intercept =

 

 

y-intercept =

 

 

 

 

 

 

b) Use the intercepts to find the slope of the line. Show all work.

 

 

 

 

 

 

12) Given the following two linear equations, determine whether the lines are parallel, perpendicular, or neither. Show the work that leads to your conclusion.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

13) Write an equation of a line through the point (5, -1) that is perpendicular to the x-axis. Graph the line on the grid below or create your own graph. State the slope of the line.

 

 

 

 

 

 

 

14) Find an equation of the line through (4, -5), parallel to the line with equation 2x – 5y = 10. Write the new equation in function notation.

 

 

 

 

 

 

 

15) Given the function : 

 

a) Find at least 5 ordered pairs that belong to the function. Show all work below.

 

 

 

 

 

 

 

 

 

 

 

 

b) Graph the function. You may use the grid provided or create your own graph.

 

 

 

 

c) Use interval notation to state the domain and range of the function.

 

3753

xx

-<+

353

488

x

x

+³-

103422

x

-£+<

9529

x

-<-£

3530

xy

-=

4918

9416

xy

xy

+=

=-

-7-6-5-4-3-2-112345678

-7

-6

-5

-4

-3

-2

-1

1

2

3

4

5

6

7

8

x

y

(

)

(

)

2

12

fxx

=–

(

)

(

)

41582

xx

-=–

(

)

(

)

(

)

35224573

xxx

-=+–

53412

3412

xxx

+++

-=

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