MTH/220T COLLEGE ALGEBRA The Latest Version A+ Study Guide
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MTH 220T Entire Course Link https://www.onlinehelp123.com/mth-220
MTH 220T Wk 1 - Reading and Assignment Complete each section of Ch. 2, “Radicals and Graphing Polynomials,” and you will learn about how to create graphs from equations and how to manipulate radicals. You must use this link to access the chapter to earn points.
MTH 220T Wk 2 - Reading and Assignment Complete each section of Ch. 3, “Systems of Equations,” to learn how to use solve multiple equations at one time. You must use this link to access the chapter to earn points.
MTH 220T Wk 3 - Reading and Assignment Complete each section of Ch. 4, “Exponential and Logarithmic Functions,” to learn how these equations work together and how they are used in the real world. You must use this link to access the chapter to earn points.
MTH 220T Wk 3 – Midterm Exam Complete the midterm exam. You have one attempt at the exam. So, be sure to review all previous course materials before attempting the exam. Question 1 10 Points
Describe the end behavior of the polynomial 1. The graph increases to the right and decreases to the left. 2. The graph decreases to the right and left. 3. The graph increases to the right and left. 4. The graph decreases to the right and increases to the left.
2. Question 2 10 Points Find the value of . 3. Question 3 10 Points To the nearest two decimal places, find the amount in an account after 5 years at 6% annual percentage rate compounded monthly if the money initially deposited was $15,000. 1. 19,500.00 2. 15,378.77 3. 20,232.75 4. 20,073.38 4. Question 4 10 Points Solve the given system of equations.
5. Question 5 10 Points Find the inverse of the function . 6.
Question 6 10 Points Solve the equation . 7. Question 7 10 Points Simplify the expression . 8. Question 8 10 Points Divide the following . 9. Question 9 10 Points Solve the exponential equation . 10. Question 10 10 Points Identify a one-to-one function. 11. Question 11 10 Points Identify the polynomial that represents the given graph.
12. Question 12 10 Points Solve the logarithmic equation . 13. Question 13 10 Points Find the value of . 14. Question 14 10 Points Find the domain of the function .
15. Question 15 10 Points Simplify the expression . 16. Question 16 10 Points Simplify the radical . 17. Question 17 10 Points A bacterial population has an exponential growth rate of 11.81% per hour. If there were 480 bacteria initially, what would the bacterial population be after 5 hours? 1. y=480 2. y=940 3. y=750 4. y=840 18. Question 18 10 Points Which of the following systems of equations satisfies the solution (6,2)? 19. Question 19 10 Points Solve the system of equations using the elimination method. 20. Question 20 10 Points How many solutions does a dependent system of equations have? 1. No solution 2. Infinitely many solutions 3. One or more solutions
4. One solution 21. Question 21 10 Points Solve: . 22. Question 22 10 Points Solve the given system of equations using the substitution method. 23. Question 23 10 Points If and , find the value of . 24. Question 24 10 Points Simplify the expression . 25. Question 25 10 Points For the polynomial , find the zeros and the multiplicity of each zero. 1. x=2 is a zero with multiplicity 0, and x=3 is a zero with multiplicity 1 2. x=2 is a zero with multiplicity 1, and x=1 is a zero with multiplicity 3 3. x=0 is a zero with multiplicity 1, and x=3 is a zero with multiplicity 1 4. x=0 is a zero with multiplicity 2, and x=-1 is a zero with multiplicity 3 26. Question 26 10 Points Simplify the radical . 27. Question 27 10 Points Find the solution for the system using the graphing method.
28. Question 28 10 Points Find the domain of the function . 29. Question 29 10 Points Find the domain of . Question 30 10 Points Which ordered pair is in the solution set of the following system of nonlinear inequalities? 1. (4, 2) 2. (3, 4) 3. (2, 3) 4. (5, –1)
MTH 220T Wk 4 - Reading and Assignment Complete each section of Ch. 5, “Sequences, Series, and Counting,” to learn about the difference between sequence and series and how to count quickly. You must use this link to access the chapter to earn points.
MTH 220T Wk 5 - Reading and Assignment Complete each section of Ch. 6, “Conic Sections,” to learn about how you encounter parabolas, circles, ellipses, and hyperbolas in the real world. You must use this link to access the chapter to earn points.
MTH 220T Wk 5 – Final Exam Complete the final exam. You have one attempt at the exam. So, be sure to review all previous course materials before attempting the exam. Question 1
10 Points How many four-character passwords can be formed using the characters A, B, C, 1, 2 if the characters can be repeated?
256
625
120
1024
Question 2 10 Points Find the radius of the circle 5 x squared plus 5 y squared plus 10 x minus 20 y equals 55 .
r equals 16
r equals 4
r equals 35
r equals 6
Question 3 10 Points Find the sum of the first six terms in the sequence {1, 5, 9, 13, ...}.
66
21
60
11
Question 4 10 Points Find the sum of the following infinite series: begin inline style sum from i equals 1 to infinity of end style 5 times 0.2 to the power of i minus 1 end exponent
7.8
25
6.25
5
Question 5 10 Points Find the equation of a horizontal parabola that has vertex (-3, -4) and distance to the focus p equals 1 half .
x equals 1 half left parenthesis y minus 3 right parenthesis squared plus 4
x equals negative 1 half left parenthesis y minus 4 right parenthesis squared minus 3
x equals 1 half left parenthesis y plus 4 right parenthesis squared minus 3
x equals negative 1 half left parenthesis y plus 3 right parenthesis squared minus 4
Question 6 10 Points Find the sum of the following series: begin inline style sum from n equals 1 to 30 of end style 2 n
435
900
465
930
Question 7 10 Points Find the sum of the first five terms using the geometric series formula for the sequence left curly bracket 1 half comma space minus 1 comma 2 comma negative 4 comma... right curly bracket .
11 over 2
11 over 32
fraction numerator negative 31 over denominator 6 end fraction
33 over 2
Question 8 10 Points Convert the equation 6 x squared minus 3 y squared plus 12 x minus 18 y minus 3 equals 0 to the standard form of a hyperbola.
fraction numerator 2 left parenthesis x plus 1 right parenthesis squared over denominator 1 end fraction plus fraction numerator left parenthesis y plus 3 right parenthesis squared over denominator 1 end fraction equals 1 fraction numerator left parenthesis x minus 1 right parenthesis squared over denominator 3 end fraction minus fraction numerator left parenthesis y minus 3 right parenthesis squared over denominator 6 end fraction equals 1
fraction numerator left parenthesis y plus 3 right parenthesis squared over denominator 6 end fraction minus fraction numerator left parenthesis x plus 1 right parenthesis squared over denominator 3 end fraction equals 1
fraction numerator 3 left parenthesis y plus 3 right parenthesis squared over denominator 13 end fraction minus fraction numerator 6 left parenthesis x plus 1 right parenthesis squared over denominator 13 end fraction equals 1
Question 9 10 Points Find the equations of the asymptotes of the hyperbola x squared over 25 minus y squared over 16 equals 1 .
y equals 4 over 5 x space a n d space y equals negative 4 over 5 x
y equals 5 over 4 x space a n d space y equals negative 5 over 4 x
y equals 5 over 4 x minus 1 space a n d space y equals negative 5 over 4 x minus 1
y equals 4 over 5 x plus 1 space a n d space y equals negative 4 over 5 x plus 1
Question 10 10 Points Evaluate begin inline style sum from n equals 3 to 7 of end style left parenthesis n squared plus 2 n right parenthesis .
78
63
185
196
Question 11 10 Points Evaluate P left parenthesis 8 comma space 2 right parenthesis .
64
360
16
56
Question 12 10 Points Find the 9th term using the general term a subscript n equals 4 left parenthesis n minus 5 right parenthesis .
13
16
20
36
Question 13 10 Points Find the length of the semi-major axis of the ellipse x squared over 49 plus y squared over 36 equals 1 .
36
6
7
49
Question 14 10 Points Find the foci of the ellipse fraction numerator left parenthesis x plus 1 right parenthesis squared over denominator 28 end fraction plus fraction numerator left parenthesis y plus 5 right parenthesis squared over denominator 23 end fraction equals 1 .
left parenthesis negative 1 comma negative 5 plus square root of 5 right parenthesis space a n d space left parenthesis negative 1 comma negative 5 minus square root of 5 right parenthesis
left parenthesis negative 5 plus square root of 5 comma negative 1 right parenthesis space a n d space left parenthesis negative 5 minus square root of 5 comma negative 1 right parenthesis
left parenthesis negative 1 plus square root of 5 comma negative 5 right parenthesis space a n d space left parenthesis negative 1 minus square root of 5 comma negative 5 right parenthesis
left parenthesis negative 5 comma negative 1 plus square root of 5 right parenthesis space a n d space left parenthesis negative 5 comma negative 1 minus square root of 5 right parenthesis
Question 15
10 Points Graph the nonlinear system to identify the number of solutions. x squared plus y squared equals 16 space a n d space y equals x squared minus 4
No solutions
Three solutions
Two solutions
One solution
Question 16 10 Points How many committees of four can be formed from a group of nine members?
126
756
36
3024
Question 17 10 Points What are the solutions to the following nonlinear system of equations? table row cell space space space space space space space space space space space space y equals negative 2 x end cell row cell y squared plus 4 x squared equals 128 end cell end table
left parenthesis 4 comma negative 8 right parenthesis space a n d space left parenthesis negative 4
comma 8 right parenthesis
left parenthesis 8 comma 16 right parenthesis space a n d space left parenthesis negative 8 comma negative 16 right parenthesis
left parenthesis 4 comma 8 right parenthesis space a n d space left parenthesis negative 4 comma negative 8 right parenthesis
left parenthesis negative 16 comma 32 right parenthesis space a n d space left parenthesis 16 comma negative 32 right parenthesis
Question 18 10 Points Evaluate C left parenthesis 7 comma 4 right parenthesis .
35
28
210
840
Question 19 10 Points Convert the equation 3 x squared plus 3 y squared plus 6 x plus 24 y equals 9 to the standard form of a circle.
left parenthesis x squared plus 2 x right parenthesis plus left parenthesis y squared plus 8 y right parenthesis equals 3
left parenthesis x plus 1 right parenthesis squared plus left parenthesis y plus 4 right parenthesis squared equals 20
left parenthesis x minus 1 right parenthesis squared plus left parenthesis y minus 4 right parenthesis squared equals 16
left parenthesis x plus 1 right parenthesis squared plus left parenthesis y plus 4 right parenthesis squared equals 9
Question 20 10 Points Find the radius of the circle 2 x squared plus 2 y squared equals 50 . square root of 50
MTH 220T Wk 2 - Summative Assessment 1 Complete the Wk 2 Exam. You have one attempt at the exam and will not see the correct answer. So, be sure you review all previous course materials before attempting it.
MTH 220T Wk 4 - Summative Assessment 2 Complete the Wk 4 Exam. You have one attempt at the exam and will not see the correct answer. So, be sure you review all previous course materials before attempting it.
MTH 220T Wk 5 - Summative Assessment 3 Complete the final exam. You have one attempt at the exam. So, be sure to review all previous course materials before attempting the exam.
