Welcome to the Module 7 Homework Assignment for MAT 110: Beginning Algebra.This section prepares you to complete this assignment successfully. Please follow these instructions to complete and submit this assignment.You will create a document in either a .doc or .rtf format to record and save your work. If you have never created documents in an .rtf format, please visit the Academic Resource Center and click on Tutorials. You will then see a list of tutorials on the following page. Click on RTF Tutorial.Read the instructions carefully and review your work before you submit your assignment.Include a title page with this assignment. Your title page should follow standard APA formatting. Please view the .allied.edu/Pages/ViewPage.aspx?GroupID=189″>Title Page Example.When you are ready to submit the assignment, click the Start button at the bottom of the page to access the submission page and follow the instructions.If you have any problems with this assignment, please e-mail your instructor.Running head: [INSERT
TITLE HERE][INSERT
TITLE HERE]Student
NameAllied
American UniversityAuthor
Note This
paper was prepared for [INSERT COURSE NAME], [INSERT COURSE ASSIGNMENT] taught
by [INSERT INSTRUCTORâS NAME].
Directions: Please
show all of your work for each problem.
If applicable, you may find Microsoft Wordâs equation editor helpful in
creating mathematical expressions in Word.
There is a tutorial on using this equation editor in Module 1 Lecture
Notes. You also have the option of hand
writing your work and scanning it.1. Solve the system by addition.x + 4y
= 23x â 2y
= â222. Solve the system by addition.x + y
= 8x â y
= 83. Solve the system by addition.5x â 3y
= 134x â 3y
= 114. The sum of two numbers is 33. Their difference is 7. What are the two numbers?5. Sally bought three chocolate bars and a
pack of gum and paid $1.75. Jake bought
two chocolate bars and four packs of gum and paid $2.00. Find the cost of a chocolate bar and the cost
of a pack of gum.6. Adult tickets for a play cost $16 and
child tickets cost $6. If there were 25
people at a performance and the theater collected $260 from ticket sales, how
many adults and how many children attended the play?7. Solve the system by substitution.x + 3y
= â42x + 2y
= â88. The difference of two numbers is 36. The larger is 6 less than 4 times the
smaller. What are the two numbers?9. The base of a ladder is 6 feet away from
the wall. The top of the ladder is 7
feet from the floor. Find the length of
the ladder to the nearest thousandth.10. A company produces doll houses and sets of
doll furniture. The doll houses take 3
hours of labor to produce, and the furniture sets take 8 hours. The labor available is limited to 400 hours
per week, and the total production capacity is 100 items per week. Existing orders require that at least 20 doll
houses and 10 sets of furniture be produced per week. Write a system of inequalities representing
this situation, where x is the number of doll houses and y is the
number of furniture sets.11. Evaluate .png”>, if possible.12. Evaluate .png”>, if possible.13. State whether .png”> is rational or
irrational.14. State whether .png”> is rational or
irrational.15. The area of a square is 83 cm2. Find the length of a side to the nearest
hundredth.16. The time in seconds that it takes for an
object to fall from rest is given by .png”>, in which s is the distance fallen (in feet). Find the time required for an object to fall
from the ground from a building that is 800 feet high. Round your answer to the nearest hundredth of
a second.17. Simplify.
.png”>18. Simplify.
Assume x represents a positive real number. .png”>19. Simplify. .png”>20. Decide whether the following is written in
simplest form. .png”>21. Simplify by combining like terms. .png”>22. Simplify by combining like terms. .png”>23. Find the perimeter of the triangle shown in
the figure. Write your answer in reduced
radical form..png”>24. Perform the indicated multiplication. Then
simplify. .png”>25. Perform the indicated multiplication. Then simplify the radical expression. .png”>26. Perform the indicated multiplication. Then simplify the radical expression. .png”>27. Perform the indicated division. Rationalize the denominator, if necessary. Then, simplify..png”>28. Solve.
.png”>