07 Jan The median sale price

Quiz 2
Math 012 Quiz 2 Sections 2.1 – 2.5, 3.1, 3.2, Linear Modeling

Professor: Dr. John Uccellini

Instructions:

The quiz is worth 50 points. Your score on the quiz will be converted to a percentage and posted in your assignment folder with comments.

This quiz is open book and open notes, and you may take as long as you like on it provided that you submit the quiz no later than the due date posted in our course schedule of the syllabus. You may refer to your textbook, notes, and online classroom materials, but you may not consult anyone or use any other online resources.

You must show all of your work to receive full credit. If a problem does not seem to require work, write a sentence or two to justify your answer.

Please type your work in your copy of the quiz, or if you prefer, create a document containing your work. Scanned work is also acceptable. Be sure to include your name in the document. Review instructions for submitting your quiz in the Quizzes Module.

If you have any questions, please contact me by e-mail ([email protected]).

Please remember to show all work on every problem.

Name________________________________

1) Given:

Solve for x. (3 points)

Express your answer in Interval Notation. (1 point)

Graph your answer to part a. (1 point)

2) Given -1? (2x )/3+ 5 < 2 Solve for x. (3 points) Express your answer in Interval Notation. (1 point) Graph your answer to part a. (1 point) 3) Find at least three ordered pairs that satisfy the following equation and graph the line through them. You may use the grid provided or create your own graph. Show all work. (5pts) 4x+3y=12 Find at least three ordered pairs that satisfy the following equation and graph the line through them. You may use the grid provided or create your own graph. Show all work. (5pts) 2x-y=4 Draw the line through the point (-2,6) that is parallel to the x-axis. You may use the grid provided or create your own graph. (2 pts) Write the equation of this line (2 pts): ___________________ State the slope of this line (1 pt): _______________________ Draw the line through the point (7,-4) that is parallel to the y-axis.You may use the grid provided or create your own graph. (2 pts) Write the equation of this line (2 pts): ___________________ State the slope of this line (1 pt): _______________________ Given the linear equation 6x+12y=-4, Find the slope and express it in simplest form. Show all work. (3 pts) Find the y-intercept and express it as an ordered pair. Show all work. (2 pts) Given the ordered pairs (2,-3) and (8,0). Show all work. (1 point each) Find the slope of the line through the two ordered pairs. Write the equation in point-slope form of the line through the ordered pairs. Convert the equation toslope intercept form. Convert the equation to standard form, Ax + By = C, where A, B, C are integers. Graph the equation. You may use the axes provided or create one of your own. Write an equation in point-slope form of the line through the point (9,-1) perpendicular to the line with equation: x+5y=5. Show all work. (5 pts) The median sale price of new homes sold in the United States in 2007 was $248,000. In 2010, the median price decreased to $222,000. Let y be the median new home sale price in the year x, where x = 0 represents the year 2007. Write a linear equation that models the change in the median new home price in terms of x. [Hint: the line must pass through the points (0, 248000) and (3, 222000)]. (3 pts) b) Explain what the slope for this line means in the context of the problem. (1pt) c)Use this equation to predict the median new home price in the year 2016. (1 pt) Bonus: Write an equation in point-slope for of the line through the point (-1,2) parallel to the line with equation 4x - 3y = 1. Show all work. (5 pts.) End of quiz: please remember to sign and date the statement in the box on the first page of the quiz.