Welcome to the Module 8 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.Running head: [INSERT
TITLE HERE]
[INSERT
TITLE HERE]
Student
Name
Allied
American University
Author
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 for x. x2 + 2 = 6
2. Solve for x. (x + 4)2 = 3
3. Solve for x. â9(x â 3)2 = â7
4. The base of a 19-ft ladder is 6 feet away
from the wall. How far above the floor
is the top of the ladder? Give your
answer to the nearest thousandth.
5. Solve the equation for x. (2x â 1)2 â 9 = 0
6. The square of 3 more than a number is
36. Find the number.
7. Determine whether the following trinomial
is a perfect square. x2
+ 4x + 4
8. Find the constant term that should be
added to make the following expression a perfect-square trinomial. x2 + 7x
9. Solve by completing the square. x2 â 4x â 60 = 0
10. The length of a rectangle is 5 cm more than
4 times its width. If the area of the
rectangle is 60 cm2, find the dimensions of the rectangle to the
nearest thousandth.
11. Find two consecutive positive integers such
that the sum of their squares is 61.
12. Use the quadratic formula to solve the
following equation. x2
= âx + 7
13. Use the quadratic formula to solve the
following equation. 2×2
+ 3x â 3 = 0
14. The height h in feet of an object
after t seconds is given by the function:
h = â16t2
+ 40t + 8. How long will it take
the object to hit the ground? Round your
answer to the nearest thousandth.
15. Solve for x. .png”>
16. Solve.
(x â 3)2 = 6 Solve
a quadratic equation by completing the square
17. Solve.
2×2 â 5x â 10 = 0 Solve a quadratic question using the
quadratic formula
18. Find the constant term that should be added
to make the following expression a perfect-square trinomial. X^2+16x
19. Find the constant term that should be added
to make the following expression a perfect-square trinomial. X^2-12x
20. Find the constant term that should be added
to make the following expression a perfect-square trinomial. X^2+2x
21. Find the constant term that should be added
to make the following expression a perfect-square trinomial. X^2-8x
22. Find the constant term that should be added
to make the following expression a perfect-square trinomial. X^2+x
23. Find the constant term that should be added
to make the following expression a perfect-square trinomial. X^2+9x
24. Solve by completing the square. X^2+8x=-15
25. Solve by completing the square. X^2+6x+2=0
26. Solve by completing the square. X^2+x-1=0
27. Solve by using the quadratic formula. X^2+11x-12=0
28. Solve by using the quadratic formula. X^2-6x+9=0
29. Solve by using the quadratic formula. 3x^2-7x=3
30. An entry in the Apple Festival Poster
Contest must be rectangular and have an area of 1200 square inches. Also, its length must be 20 inches longer
than its width. Find the dimensions each
entry must have.