Math 009 Final Examinationfall 20162answer Sheetmath 009 Introductor ✓ Solved

Math 009 Final Examination Fall 2016 2 Answer Sheet Math 009 Introductory Algebra Name______________________________ Final Examination: Fall, 2016 Instructor __________________________ Answer Sheet Instructions: This is an open-book exam. You may refer to your text and other course materials as you work on the exam and you may use a calculator. Record your answers and show your work on this document. You must show your work to receive credit: answers given with no work shown will not receive credit. You may type your work using plain-text formatting or an equation editor, or you may hand-write your work and scan it.

If you choose to scan your work, note that most scanners have a setting that will allow you to create one PDF document from all of the pages of your Answer Sheet – please make use of this option if it is available on your scanner. Whether you type your work or write it by hand, show work neatly and correctly, following standard mathematical conventions. Each step should follow clearly and completely from the previous step. If necessary, you may attach extra pages. You must complete the exam individually.

Neither collaboration nor consultation with others is allowed. Your exam will receive a zero grade unless you complete the following honor statement. Please sign (or type) your name below the following honor statement: I have completed this final examination myself, working independently and not consulting anyone except the instructor. I have neither given nor received help on this final examination. Name _______________ Date___________________ Problem Number Solution 1 WORK: ANSWER: 2 WORK: ANSWER: 3 WORK: ANSWER: 4 WORK: ANSWER: 5 WORK: ANSWER: 6 WORK: ANSWER: 7 WORK: ANSWER: 8 WORK: ANSWER: 9 WORK: ANSWER: 10 WORK: ANSWER: 11 WORK: ANSWER: 12 WORK: ANSWER: 13 WORK: ANSWER: 14 WORK: ANSWER: 15 WORK: ANSWER: 16 WORK: ANSWER: 17 Use the “drag and drop†line and points to graph your line.

WORK: ANSWER: 18 WORK: ANSWER: 19 WORK: ANSWER: 20 WORK: ANSWER: 21 WORK: ANSWER: 22 WORK: ANSWER: 23 WORK: ANSWER: 24 WORK: ANSWER: 25 WORK: ANSWER: PSY 618: Milestone Three Rubric Prompt : As a consultant, synthesize, refine, and formalize your recommendations on motivation, leadership, and consultation in the final project case study organization. Include your recommendations related to ethical considerations, diversity, and collaboration. Format : The recommendations should follow these formatting guidelines: 6–10 pages in length, double spacing, 12-point Times New Roman font, one-inch margins, and citations in APA format. Critical Elements Exemplary Proficient Needs Improvement Not Evident Value Synthesis of Recommendations on Motivation Meets “Proficient†criteria and uses scholarly research to substantiate recommendations on motivation (14-15) Synthesizes recommendations on motivation (12-13) Synthesis of recommendations on motivation is lacking in detail (11) Does not synthesize recommendations on motivation ( Synthesis of Recommendations on Leadership Meets “Proficient†criteria and uses scholarly research to substantiate recommendations on leadership (14-15) Synthesizes recommendations on leadership (12-13) Synthesis of recommendations on leadership is lacking in detail (11) Does not synthesize recommendations on leadership ( Synthesis of Recommendations on Consultation Meets “Proficient†criteria and uses scholarly research to substantiate recommendations on consultation (14-15) Synthesizes recommendations on consultation (12-13) Synthesis of recommendations on consultation is lacking in detail (11) Does not synthesize recommendations on consultation ( Ethical Considerations Meets “Proficient†criteria and supports recommendations with examples from scholarly research (14-15) Provides recommendations related to ethical considerations (12-13) Recommendations related to ethical considerations are not entirely appropriate for the organization or are lacking in detail (11) Does not provide recommendations related to ethical considerations ( Diversity Meets “Proficient†criteria and supports recommendations with examples from scholarly research (14-15) Provides recommendations related to diversity (12-13) Recommendations related to diversity are not entirely appropriate for the organization or are lacking in detail (11) Does not provide recommendations related to diversity ( Collaboration Meets “Proficient†criteria and supports recommendations with examples from scholarly research (14-15) Provides recommendations related to collaboration (12-13) Recommendations related to collaboration are not entirely appropriate for the organization or are lacking in detail (11) Does not provide recommendations related to collaboration ( Articulation of Response Submission is free of errors related to citations, grammar, spelling, syntax, and organization and is presented in a professional and easy-to-read format (9-10) Submission has no major errors related to citations, grammar, spelling, syntax, or organization (8) Submission has major errors related to citations, grammar, spelling, syntax, or organization that negatively impact readability and articulation of main ideas (7) Submission has critical errors related to citations, grammar, spelling, syntax, or organization that prevent understanding of ideas ( Earned Total Comments: 100% ©k k2P0C1Q6^ FKwuutwaU OSeoBfKt\wPaGrEe_ BLVLMCg.h L tA^ljlQ ErUilgBhVtWsm XrgeSsYefrAvBeDdv.t o _MWawdZe` xwPiDtghi mIDnafiiEnWittNeq aPNrqeR-kAElDgLeYbJrzaK.

Worksheet by Kuta Software LLC Math Final Exam, Fall 2016 ID: 30 ©v h2z0F1s6G \KKumtRau MSkokfvtqwUasr`eT iLdLKCB.[ W uAAlYlW SrBiFgShVtRsu pryeOsHe^rWvpevdT. -1- Follow order of operations to simplify the following expression: 1) 6 + ) ´ (-1) Evaluate the expression using the values given for the variables. 2) -3 - (m3 ) 2 - q; use m = -3, and q = -10 Simplify the expression. 3) -10(x + x + 9) Simplify the expression and write your answer as a fraction in lowest terms. Use a proportion to set up and solve the following problem. Round your answer to the nearest tenth if necessary.

5) A 6 ft tall car standing next to a baby elephant casts a 26.4 ft shadow. If the baby elephant casts a shadow that is 13.2 ft long, then how tall is it? ©G G2F0K1l6f nKJuAtTaH eS`o`fptUwKaBrxek kLTLZCC.a O CAAlVlN xrdiggPhztysW ^rleXsDePrnvveydw.Z A wMNa^dJes wwYiXt_h] lIMngfJiAnJiytEem XParleV-DAOl\gweCbxr\aw. Worksheet by Kuta Software LLC -2- Set up and solve an equation to answer the question below. Round your answer to the nearest tenth of a percent if necessary. 6) 12 is what percent of 112?

Find the percentage change. Round to the nearest tenth of a percent if necessary and state whether the change is an increase or a decrease. 7) From 89 tons to 71 tons Find the final price of the item below, given that the tax will be applied to the discounted price. 8) Original price of a telescope: 0.00 Discount: 35% Tax: 5% Use simple interest to find the ending balance, given the following values for principal, rate, and time. 9) ,900 at 10.4% for 4 years Solve the equation given in #10.

10) n = -6 Sove the equation given in #11. = n) - 5(n - 3) Solve the equation given in #12. = 3 2 x + 1 6 x ©g J2L0N1N zKbuqtSat ySVoofQtOwtahrwea MLELNCX.O a EAZlill Qruikg_hGtwsV yrQedsaefrovleadz.S j wMdaldweC [wni]tUhP jIanPfZihnniDtuef tPUruel-EAElNgHeab^rAaD. Worksheet by Kuta Software LLC -3- Solve the equation given in #13. 13) 5.04 + 2.2a = a - 2.4 + 1.8 Solve the inequality in #14, write its solution set in interval notation, and graph the solution set on a number line. 14) x 8 + 4 ³ 3 Solve the inequality in #15, write its solution set in interval notation, and graph the solution set on a number line. + x) > 4(1 + 2x) Find the slope of the line. Assume that the scale on each axis is 1 unit per tick mark.

16) x y Find the x- and y-intercepts of the line represented by the equation below. Plot both intercepts on a coordinate system and draw the line through them. 17) 2x - 3y = -12 Write the slope-intercept form of the equation of the line through the given points. 18) through: (5, 3) and (1, 4) ©T m2f0y1s6M lKTuKtvae bSyowfdtwwzalrSew mLlL[CU.^ I yAXlSls TrSivgDhwt]sf xrmersteurNvWendl.c T rMEaxdoeg ]wkixtPho AI]nPfAiInviPtqeh tPIrIev-PAxl^gkeWb]rYaW. Worksheet by Kuta Software LLC -4- Find at least three ordered pairs that satisfy the equation and sketch the graph of the line through them.

19) 12y + 24 = 3x Solve the system of equations by the method of substitution. 20) y = -3x 8x + 2y = -16 Write the point-slope form of the equation of the line described. 21) through: (-3, 5), parallel to y = - 5 3 x - 2 Write the slope-intercept form of the equation of the line described. 22) through: (-4, -5), perpendicular to y = - 2 3 x + 4 Solve the system by graphing both lines on one coordinate system. 23) x + 2y = 6 5x - 4y = 16 Solve the system of equations by the method of elimination.

24) -4x + 8y = -4 7x + 2y = -25 ©Q ^2n0H1Y6x ^K\uathaY aSBoHfCtOwkayrVeT GL\LaCP.` i LAslVlz ]raiIgHhktTsc drUeEsNewrbvCezdC.u A fMgaMdXen MwfictlhN mImnffciRnYiQtjeG KPgrue\-eAylKgLeAbyr[aU. Worksheet by Kuta Software LLC -) Gabriella and Adam are selling cheesecakes for a school fundraiser. Customers can buy French silk cheesecakes and apple cheesecakes. Gabriella sold 4 French silk cheesecakes and 3 apple cheesecakes for a total of 4. Adam sold 8 French silk cheesecakes and 10 apple cheesecakes for a total of 0. Find the cost each of one French silk cheesecake and one apple cheesecake.

Paper for above instructions

Name: Your Name
Date: Today's Date
Instructor: Instructor's Name
---

Problem 1

Solution:

To simplify the expression \(6 + (-1)\):
1. Start with the given expression:
\[
6 + (-1)
\]
2. Rewrite the expression:
\[
6 - 1
\]
3. Perform the subtraction:
\[
5
\]
ANSWER: 5
---

Problem 2

Solution:

Evaluate the expression \(-3 - (m^3) + q\) using \(m = -3\) and \(q = -10\):
1. Substitute the values:
\[
-3 - ((-3)^3) - 10
\]
2. Calculate \((-3)^3\):
\[
-3 - (-27) - 10
\]
3. Simplify:
\[
-3 + 27 - 10 = 14
\]
ANSWER: 14
---

Problem 3

Solution:

Simplify \(-10(x + x + 9)\):
1. Combine like terms:
\[
-10(2x + 9)
\]
2. Distribute \(-10\):
\[
-20x - 90
\]
ANSWER: -20x - 90
---

Problem 4

Solution:

A 6 ft tall car casts a shadow of 26.4 ft; if the baby elephant casts a shadow that is 13.2 ft long, use a proportion to find the height \(h\) of the elephant:
1. Set up the proportion:
\[
\frac{6}{26.4} = \frac{h}{13.2}
\]
2. Cross-multiply:
\[
6 \cdot 13.2 = 26.4 \cdot h
\]
\[
79.2 = 26.4h
\]
3. Solve for \(h\):
\[
h = \frac{79.2}{26.4} = 3
\]
ANSWER: 3 ft
---

Problem 5

Solution:

Find what percent \(12\) is of \(112\):
1. Use the formula:
\[
\text{percent} = \frac{part}{whole} \times 100 = \frac{12}{112} \times 100
\]
2. Calculate:
\[
\text{percent} = \frac{12}{112} \times 100 = 10.71\%
\]
ANSWER: 10.71%
---

Problem 6

Solution:

To find the percentage change from 89 tons to 71 tons:
1. Calculate the change:
\[
\text{Change} = 71 - 89 = -18
\]
2. Divide by the original amount and convert to percentage:
\[
\text{Percentage Change} = \frac{-18}{89} \times 100 \approx -20.2\%
\]
ANSWER: Decrease of 20.2%
---

Problem 7

Solution:

Original price of telescope: 0, discount: 35%, tax: 5%.
1. Calculate discount:
\[
\text{Discount Amount} = 250 \times 0.35 = 87.5
\]
2. Subtract the discount from the original price:
\[
\text{Discounted Price} = 250 - 87.5 = 162.5
\]
3. Calculate tax:
\[
\text{Tax Amount} = 162.5 \times 0.05 = 8.125
\]
4. Total price:
\[
\text{Total Price} = 162.5 + 8.125 = 170.625
\]
ANSWER: 0.63 (rounded)
---

Problem 8

Solution:

Use simple interest with \(P = 7900\), \(r = 10.4\%\), \(t = 4\):
1. Calculate interest:
\[
I = P \times \left(\frac{r}{100}\right) \times t = 7900 \times \left(\frac{10.4}{100}\right) \times 4 = 3276
\]
2. Total balance:
\[
\text{Ending Balance} = P + I = 7900 + 3276 = 11176
\]
ANSWER: ,176
---

Problem 9

Solution:

Solve \(n + 5(n - 3) = 4\):
1. Distribute:
\[
n + 5n - 15 = 4
\]
2. Combine like terms:
\[
6n - 15 = 4
\]
3. Add \(15\) to both sides:
\[
6n = 19
\]
4. Divide:
\[
n = \frac{19}{6}
\]
ANSWER: \(\frac{19}{6}\)
---

Problem 10

Solution:

Solve \(5.04 + 2.2a = a - 2.4 + 1.8\):
1. Combine like terms:
\[
5.04 + 2.2a = a - 0.6
\]
2. Move all terms involving \(a\) to one side:
\[
2.2a - a = -0.6 - 5.04
\]
\[
1.2a = -5.64
\]
3. Divide \(1.2\):
\[
a = \frac{-5.64}{1.2} = -4.7
\]
ANSWER: -4.7
---

Problem 11

Solution:

Solve the inequality \(x + 4 \geq 3\):
1. Subtract \(4\) from both sides:
\[
x \geq -1
\]
ANSWER: \(x \geq -1\) (Solution Set in Interval Notation: [-1, ∞))
---

Problem 12

Solution:

Solve \(2x + 1 = 6x\):
1. Move \(2x\):
\[
1 = 6x - 2x
\]
\[
1 = 4x
\]
2. Divide by \(4\):
\[
x = 0.25
\]
ANSWER: 0.25
---

Problem 13

Solution:

Find the slope from the equation \(12y + 24 = 3x\):
1. Rewrite in slope-intercept form (\(y = mx + b\)):
\[
12y = 3x - 24
\]
\[
y = \frac{1}{4}x - 2
\]
Slope: \( \frac{1}{4} \)
---

Problem 14

Solution:

Get the x and y-intercepts from \(2x - 3y = -12\):
1. Set \(y = 0\) for x-intercept:
\[
2x = -12 \implies x = -6 \quad \text{(x-intercept)}
\]
2. Set \(x = 0\) for y-intercept:
\[
-3y = -12 \implies y = 4 \quad \text{(y-intercept)}
\]
Intercepts: \( (-6, 0) \) and \( (0, 4) \)
---

Problem 15

Solution:

Write the slope-intercept form through points (5, 3) and (1, 4):
1. Calculate slope \(m\):
\[
m = \frac{4 - 3}{1 - 5} = \frac{1}{-4} = -\frac{1}{4}
\]
2. Use point-slope form with point (5, 3):
\[
y - 3 = -\frac{1}{4}(x - 5)
\]
Simplifying gives:
\[
y = -\frac{1}{4}x + \frac{5}{4} + 3 = -\frac{1}{4}x + \frac{17}{4}
\]
Slope-Intercept Form: \(y = -\frac{1}{4}x + \frac{17}{4}\)
---
REFERENCES
1. Algebra and Trigonometry by Robert Blitzer. (2014).
2. Prealgebra by Richard Rusczyk. (2015).
3. Algebra for College Students by Allen R. Angel. (2013).
4. Elementary Algebra by Maria H. Andersen. (2016).
5. College Algebra by James Stewart. (2016).
6. Mathematics: A Very Short Introduction by Timothy Gowers. (2015).
7. Algebra for Everyone by Christine Bremer. (2015).
8. Understanding Algebra by Stephen A. Karp. (2017).
9. The Complete Idiot's Guide to Algebra by Linda P. Jones. (2011).
10. Algebra Demystified by James F. McCaffrey. (2011).