Math 7

(1) Discuss one topic that you struggled with in this homework assignment. Be specific. Use a specific problem from the homework assignment or text and give as much of the solution process as you can. If you choose this option make sure you cover all three parts: several sentences on what you found confusing, a specific problem which was confusing, and your solution process up until where you got stuck. “I have no idea how to start” is not a solution process.(2) Discuss one example of 
a current homework topic 
arising in either your profession or your hobby of interest. Make sure your example is detailed and includes specific NUMERICAL examples. Your response should be a paragraph or more.

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Running head:

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Student Name

Allied American University

Author Note

This paper was prepared for [INSERT COURSE NAME], [INSERT COURSE
ASSIGNMENT] taught by [INSERT INSTRUCTOR’S NAME].

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Directions: Please show all of your work for each problem. If applicable, you may find
Microsoft Word’s 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 = 2
3x – 2y = –22

2. Solve the system by addition.

x + y = 8
x – y = 8

3. Solve the system by addition.

5x – 3y = 13
4x – 3y = 11

4. 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 = –4
2x + 2y = –8

8. 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 16 , if possible.

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12. Evaluate 3 –8 , if possible.

13. State whether 64 is rational or irrational.

14. State whether 3 25 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
1
4

t s= , 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. 72

18. Simplify. Assume x represents a positive real number. 480x

19. Simplify.
1
3

20. Decide whether the following is written in simplest form. 28mn

21. Simplify by combining like terms. 63 7−

22. Simplify by combining like terms. 9 5 80−

23. Find the perimeter of the triangle shown in the figure. Write your answer in reduced

radical form.

24. Perform the indicated multiplication. Then simplify. ( )7 6 3 6 7−

25. Perform the indicated multiplication. Then simplify the radical expression. ( )
2

3 11

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26. Perform the indicated multiplication. Then simplify the radical expression. ( )
2

– 3t

27. Perform the indicated division. Rationalize the denominator, if necessary. Then, simplify.

21 18
3
+

28. Solve. 4 4 8 0x + − =