Need Math quiz done and completed correctly. More quizzes to come for who ever gets me a good grade.
no.barfagaq
math_012_q2.docxMath 012
Quiz 2 Page 2
Math 012 Quiz 2
Fall, 2016
Name________________________________
Instructions:
· The quiz is worth 120 points. There are 20 problems, each worth 5 points – 4 except questions 8, 10, and 20. 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 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.
Please remember to show ALL of your work on every problem.
1) Solve the inequality below. Write the solution set using interval notation and graph the solution set on a number line. If you are typing the quiz, you can review instructions for creating a number line from your keyboard attached in the Week 3 LEO News.
x – 72 > 21
2) Solve the compound inequality below. Write the solution set using interval notation and graph the solution set on a number line. If you are typing the quiz, you can review instructions for creating a number line from your keyboard attached in the Week 3 LEO News.
-20 ≤ 6x – 5< 12
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.
4) 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.
5) Find the equation of the line that is parallel to y = 2x + 1 and passes though the point (5,4). Answer __________________
6) Draw the line through the point (-4, 3) that is parallel to the x-axis. Write the equation of this line and state its slope.
8) Given the points (-3, 5) and (6, -2): (15 points)
a) Find the slope of the line through the points.
b) Write an equation in point-slope form of the line through the points.
c) Convert the equation to slope-intercept form.
d) Convert the equation to standard form, Ax + By = C, where A, B, and C are integers.
e) Graph the equation. You may use the axes provided, or create your own graph.
9) Write an equation in point-slope form of the line through the point (-5, 2) perpendicular to the line with equation 4x + 3y = 7.
10) The number of Starbucks stores in the US in 2005 was 8896. In 2014, there were 11,965 Starbucks stores in the US. Let y be the number of Starbucks stores in the US in the year x, where x = 0 represents the year 2005. (8 points)
a) Write a linear equation in slope-intercept form that models the growth in the number of Starbucks stores in the US in terms of x. [Hint: the line must pass through the points
(0, 8896) and (9, 11965)].
b) Use this equation to predict the number of Starbucks stores in the US in the year 2020.
c) Explain what the slope for this line means in the context of the problem.
11. Solve the equation. Show all work and show the complete check of your answer:
12. Mark borrows $22,000 to buy a new car. If the simple interest rate on the car loan is 9.35% and he pays off the loan in 6 years, how much interest does he pay?
13. Andrew’s annual salary is $72,400. He has been promised a 3.7% merit raise in the year ahead. Find the amount of the raise and the new salary. Show all work.
14. Solve the equation. Show all work and show the complete check of your answer.
16. Solve the inequality. Write the answer using both set-builder notation and interval notation. Graph the solution set on a number line.
x – 3 > 6
17. Solve the inequality. Write the answer using both set-builder notation and interval notation. Graph the solution set on a number line.
-2x – 6 ≥ 9x + 15
18. Solve the inequality. Write the answer using both set-builder notation and interval notation. Graph the solution set on a number line. Multiply both sides of the inequality by the LCD first to clear fractions.
19. Given the equation below, find four ordered pair solutions by completing the table, showing all work in the space below. Then use the ordered pairs to graph the equation. You may use the grid below or attach your own.
|
x |
y |
|
0 |
|
|
2 |
|
|
|
0 |
|
|
5 |
a) Write the equation in slope-intercept form.
b) State the slope of the line.
c) State the y-intercept of the line as an ordered pair.
d) Use slope-intercept form to graph the line. You may draw your graph on the grid below or create your own graph.
-7-6-5-4-3-2-112345678
-7
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
7
8
x
y
28
xy
-=
7515
xy
-=-
(
)
(
)
86745
yy
-+=-+
(
)
30254
mm
+=--
1
6
2
3
8
4
131
1
243
xx
+<+
32
yx
=+
x
y
5210
xy
+=
3212
xy
+=
