math HW

NAME (please print) ________________________________ COURSE: (circle one) _____120R__/ 122B____________

SECTION NUMBER: _____________________________ Assignment Directions There are 20 problems on this assignment, each worth a maximum of 1 point for a maximum total of 20 points. The grading rubric is as follows: 1 point will be given for a correct answer AND appropriate supporting work. 0.5 point will be given for effort/work that leads to an incorrect answer. 0 points will be given if no work for a problem is shown, even if the correct answer is given. In addition, if your work for a problem is not done in a neat and organized fashion, or if the instructor simply cannot read your work, 0 points will be given All work must be done on this worksheet. You must BOX your final answer in order for full credit to be given. This assignment is due in your Math 122B (or Math 120R) class on Thursday, September 18th. Please read the following statement, and sign at the bottom of the page.

I affirm that I completed this assignment in its entirety and that the work contained herein is original and does not contain the work of others. Furthermore, I understand that sanctions will be imposed if any part of this work is found to violate the Student Code of Conduct, the Code of Academic Integrity, or the policies and procedures established for this course.

______________________________ ______________________________

Name (Printed) Signature

Simplifying Expressions

1. Simplify the expression 5 4

2

1

− +

−

−

x x

so that there are no negative exponents and no compound

fractions.

2. Simplify the expression 4

)4(6)4(5 3 1

3 2

+ +++−

−

m mmm

so that there are no negative exponents

and no compound fractions. 3. Factor completely. )12()12( 35 +−+ wwww

4. Simplify the expression. ( )

h h 644 3 −+

Solving Equations 5. Solve for x exactly. 4)23( =−xx 6. Solve for x exactly. ( ) 15293523 2 =++x

7. Solve for y exactly. ( )( )

0 4

87 3 =

− +−

y yy

8. Solve for n in terms of t . 74

35 − +

= n

n t

9. Solve for c exactly. 2 5

2 3

=+ c

c

10. Solve for r in terms of A . 12

12 150 

 

   +=

r A

Setting up Equations/Expressions 11. The radius of a cylinder is 3 times its height. Express the radius, r , of the cylinder in terms of

its volume, V . 12. Write an equation in terms of x that determines how much water should be added to x liters of

an 18% acid solution to reduce the concentration to 15%? 13. Suppose the ordered pair ( )qp , is on the graph of 048 =+ yx . Express the distance between

the ordered pairs ( )4,1 and ( )qp , in terms of p .

14. By what percentage does the area of a 12 inch round pizza need to increase to become a 16

inch round pizza? 15. A car travels for a total of 10 hours. The car averages 60 miles per hour for x hours and

averages 70 miles per hour for the rest of the time. Express the total distance traveled by the car in terms of x .

16. Express the surface area, S , of a sphere in terms of its volume, V . 17. The base of a right triangle is 5 feet more than the height of the triangle. Express the area of

the triangle in terms of its height, h .

18. In a precalculus class, 3 exams and a final exam are given, each worth a maximum of 100

points. A student earns scores of 74, 71, and 82 on the 3 exams. If each exam is worth 20% of the overall score, and the final exam is worth 40% of the overall score, write an expression for the student’s overall score if the student receives a score of x on the final exam.

19. It takes copy machine A one hour less to complete a copying task when working alone than it takes copy machine B working alone. If both copiers are used, they can complete the task in 72 minutes. How long does it take each machine to complete the task when working alone? 20. Ship A leaves a port sailing east at 15 miles per hour. Two hours later, ship B leaves the port sailing south at 20 miles per hour. Express the distance D between the ships in terms of t , where t is the number of hours since the departure of ship A.