Alegbra Test

User Generated

fhtnqhtn74

Mathematics

Description

Must show all work

Unformatted Attachment Preview

Math 012 Midterm Exam Spring 2017 Name________________________________ Instructions: • • • • The exam is worth 75 points. There are 15 questions, each worth 5 points. Your score on the exam will be converted to a percentage and posted in your assignment folder with comments. This exam is open book and open notes, and you may take as long as you like on it provided that you submit the exam 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. 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 exam, 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 exam in the Exams Module. At the end of your exam you must include the following dated statement with your name typed in lieu of a signature. Without this signed statement you will receive a zero. I have completed this exam myself, working independently and not consulting anyone except the instructor. I have neither given nor received help on this exam. Name: Date: Please remember to show all work on every problem. 1) Solve the equation using the methods discussed in Chapter 1 of our text. If the equation has a unique solution, please show the complete check of your answer. 3(4 + 3𝑥) − 6 = −2(5𝑥 − 1) 2) Solve the equation using the methods discussed in Chapter 1 of our text. If the equation has a unique solution, please show the complete check of your answer. 2(𝑥 − 5) + 𝑥 = 3(𝑥 − 7) + 9 Math 012 Midterm Exam Page 2 3) Solve the equation using the methods discussed in Chapter 1 of our text. Clear fractions from the equation in the first step. If the equation has a unique solution, please show the complete check of your answer. 𝑥 5 6𝑥 4 − = − 2 3 2 3 4) Solve the inequality using the methods discussed in Chapter 3 of our text. Write your answer in interval notation and graph the solution set on a number line. 4(2𝑎 − 1) ≤ −4(𝑎 − 1) − 4 5) Solve the inequality using the methods discussed in Chapter 3 of our text. Clear fractions from the inequality in the first step. Write your answer in interval notation and graph the solution set on a number line. 1 1 1 𝑥− ≥− 𝑥+1 6 2 3 Math 012 Midterm Exam Page 3 6) Solve the inequality using the methods discussed in Chapter 3 of our text. Write your answer in interval notation and graph the solution set on a number line. 1 ≤ 2𝑥 + 7 < 15 7) Solve the inequality using the methods discussed in Chapter 3 of our text. Write your answer in interval notation and graph the solution set on a number line. 15 ≥ −2𝑥 + 3 > −5 8) The amount of pollution varies directly with the population of a city. City A has a population of 440,000 people and produces 1,100,000 tons of pollution. How much pollution should we expect City B to produce if its population is 344,000 people? Round your answer to the nearest whole ton. Math 012 Midterm Exam Page 4 9) Jeff wins $300,000 (after taxes) in the lottery and decides to invest half of it in a 10-year CD that pays 7.5% interest compounded monthly. He invests the other half in a money market fund that unfortunately turns out to average only 3.25% interest compounded annually over the 10year period. How much money will he have altogether in the two accounts at the end of the 10year period? Math 012 Midterm Exam Page 5 10) The average annual tuition and fees at all 4-year institutions in the US in 1982 was $5,230 and in 2002 was $ 6,314. Let y be the average tuition and fees in the year x, where x = 0 represents the year 1982. 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 2030. c) Explain what the slope of this line means in the context of the problem. Math 012 Midterm Exam Page 6 11) Given the linear equation 2x+6y=12: a) Convert the equation to slope-intercept form. State the slope of the line and the y-intercept as an ordered pair. b) Use the slope and the y-intercept to graph the line represented by the equation. You may use the axes provided, or create your own graph. 8 7 6 5 4 3 2 1 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6 -7 y x 1 2 3 4 5 6 7 8 Math 012 Midterm Exam Page 7 12) Given the following two linear equations, determine whether the lines are parallel, perpendicular, or neither. Show all work and explain your conclusion clearly. 2𝑥 − 3𝑦 = 6 −3𝑥 = 2𝑦 + 16 13) Write an equation of a line through the point (5, 3) that is perpendicular to the y-axis. Graph the line on the grid below or create your own graph. State the slope of the line. 8 7 6 5 4 3 2 1 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6 -7 y x 1 2 3 4 5 6 7 8 Math 012 Midterm Exam Page 8 14) Find an equation of the line through (5, 2), parallel to the line with equation 3x – 2y = 6. Write the new equation in point-slope form. 15) Convert the equation of the new line found in problem #14 to standard form, Ax + By = C, where A, B, and C are integers. End of exam: please do not forget to write and sign (or type) the required statement explained on Page 1 of the exam.
Purchase answer to see full attachment
User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Explanation & Answer

The solutions are ready. Please review them and ask if something is unclear.

Math 012 Midterm Exam
Spring 2017

Name________________________________

Instructions:






The exam is worth 75 points. There are 15 questions, each worth 5 points. Your score
on the exam will be converted to a percentage and posted in your assignment folder with
comments.
This exam is open book and open notes, and you may take as long as you like on it
provided that you submit the exam 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.
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 exam, 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 exam in the Exams Module.

At the end of your exam you must include the following dated statement with your name
typed in lieu of a signature. Without this signed statement you will receive a zero.
I have completed this exam myself, working independently and not consulting anyone except the
instructor. I have neither given nor received help on this exam.
Name:

Date:

Please remember to show all work on every problem.
1) Solve the equation using the methods discussed in Chapter 1 of our text. If the equation has a
unique solution, please show the complete check of your answer.
3(4 + 3𝑥) − 6 = −2(5𝑥 − 1)
Open the parentheses: 12 + 9𝑥 − 6 = −10𝑥 + 2. Now move terms with x to the left and
𝟒
without to the right and combine: 19𝑥 = −4. Thus �...


Anonymous
Really great stuff, couldn't ask for more.

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Related Tags