MS 095 PreAlgebra Spring 2005 Final Examination

Multiple choice. Choose the one alternative that best completes the statement or answers the question.

Simplify

1) |−50|
A) 50 B) −50 C) 0 D) 100

2) |95|
A) 0 B) 190 C) 95 D) −95

Divide

3) 8309 ÷ 9
A) 923 r2 B) 925 C) 923 r8 D) 923

Reduce to lowest terms.

4)
A) B) C) D)

Write your answer in lowest terms.

5) There are 30 in a given month. What fraction of the month is 8 days?
A) B) 8 C) D)

6) The height of Mount Dolonwai is 6,000 feet. Rachel climbed 4385 feet on her last outing. What fraction of Mount Dolonwai did she climb?
A) B) C) D)

7) There are 36 inches to a yard. What fraction of a yard is 16 inches?
A) 16 B) C) D)

8) Island Community College has 2,000 students registered, of which 680 are full-time students. All of the rest are part-time students. What fraction of the college are part-time students?
A) B) C) D)

9) There are 100 centimeters to a meter. What fraction of a meter is 40 centimeters?
A) B) C) D)

10) There are 16 ounces to a pound. What fraction of a pound is 2 ounces?
A) 8 B) 2 C) D)

11) Timmy has saved 200 coints in his piggy bank. 35 coins are dimes. What fraction of the coins saved are dimes.
A) B) C) 35 D)

12) There are 40 participants in the dance program. What fraction of the program is 30 participants?
A) B) 2 C) D)

13) The Sigrah family traveled 100 miles on a trip this summer. 80 miles of their trip was by airplane. What fraction of their trip was by airplane?
A) 100 B) C) D)

14) Marleen's bonus for the year was $1700. She spent $700 on new furniture. What fraction of her bonus was spent on furniture?
A) B) C) D)

Write the decimal as a fraction or mixed number in lowest terms.

15) 13.6
A) B) C) D)

Multiply and express the product in lowest terms

16)
A) y² B) C) D)

Solve.

17) 6x − 5x = 18
A) x = B) x = 0 C) x = 18 D) x = −18

18) w + 4 = 30
A) w = 26 B) w = −26 C) w = −34 D) w = 34

19) A company makes cardboard boxes. The boxes are 2 ft. by 5 ft. by 7 ft. What is the area of the cardboard that is required for each box.
A) 122 ft.² B) 59 ft.² C) 116 ft.² D) 118 ft.²

20) 3(x − 6) + 9 = −1 + x − 26
A) −4 B) 9 C) −9 D) 4

Solve the problem. Write ratios in simplest form.

21) A flower basket contains 8 roses, 14 carnations, and 16 daisies. What is the ratio of rose to total flowers? What is the ratio of carnations to roses?
A) B) C) D)

Translate to an equation. Do not solve.

22) What number is 22.4% of 40?
A) c = 22.4% · 40 B) 22.4 = c · 40 C) c · 22.4% = 40 D) c = 40% · 22.4

Calculate the simple interest.

23) $1200 at 5.8% APR for 30 days.
A) $69.9 B) $4176 C) $5.72 D) $8.58

Find the coordinates of the x- and y- intercepts.

24)
A) (18,0), (0,15) B) (18,0), (1,15) C) (0, 0), (0,15) D) (15,0), (0,18)

Find the unknown requested measure.

25) A box has a volume of 3400 cm³. If the width is 25 cm an the height is 4 cm, find the length.
A) 19 cm B) 49 cm C) 34 cm D) 38 cm

Short answer. Write the word or phrase that best completes each statement or answers the question.

Provide an appropriate response.

26) The expression 8 + (4 ÷2) contains parenthesis. Are they necessary?

27) Find and explain the mistake(s); then work the problem correctly.

28) Solve: 2x − 2 = 5x − (x − 20)

29) Solve: 5x − 2 = 7x + 8

30) Explain why, when rewriting a fraction with a different denominator, the fraction can be multiplies by another fraction whose numerator and denominator are the same.

31) What is wrong with the following addition?
25 + 0.41 = 0.66

32) Which method did you use to determine whether this proportion is true or false?

33) Amos is an employee of a store and receives a 20% discount of all items in the store. During a sale, the price of a jacket is reduced by $15. Amos will receive both his 20% discount and the $15 off. Which is better for Amos, to take the 20% discount first and then subtract the $15 or to subtract the $15 first and then take his 20% discount?

34) Explain the following mistake, and then work the problem correctly.
88 − 3(1 + 5)
= 88 − 3(6)
= 85(6)
= 510

35) Are all even numbers composite numbers? Explain your answer.

36) A student is asked to perform the following division: . He starts by writing . Do you think this method will the correct answer?

37) Convert to decimal notation.

38) The formula for the volume of a rectangular solid is Volume = length × width × height. It can also be written as Volume = Area × height. Explain.

39) The price of an item is reduced by 20% in a sale. Two weeks later the price is increased to 20% more than the sale price. Do you think that the item has been restored to its original price? If not, do you think its price is now higher or lower than the original price?

Plot and label the points indicated by the coordinate pairs.

40) A: (3,6), B(4, −6)

Use the following data for the following three questions

The following seat counts were found by you at the beginning of the term:
Kevin, Serafin: 1572
Kiumy, Caroline: 1151
Anastasia: 1307
Agnes: 1434
A-1, Albert: 1322
Kesarina, Meranda: 1419
Sylvia, Sedora: 1291

41) For the seat count data above, determine the median.

42) For the seat count data, determine the mean.

43) On run five the golf ball traveled at a velocity v = 7.34 meters per second. Using the formula distance = velocity × time, determine how far the golf ball would travel in 30 seconds.

44) On run five the golf ball traveled at a velocity v = 7.34 meters per second. Using the formula distance = velocity × time, determine how long it would take the golf ball to travel the 800 meter distance of the college's main frontage road.

45) When the golf ball was dropped from the gym window it fell with an acceleration a = 7.32 meters per second. Using the formula distance = , calculate how far the golf ball would fall in 30 seconds.

46) Given that there are 2.54 centimeters per inch, determine how many centimeters in two feet.

47) Provide the names of the shapes of the lines or curves seen in the diagram of graph types below.

48) The gradient (percent of incline) is its vertical rise (or drop), in meters, per every 100 horizontal meters traversed. The road from the FSM capital junction up to Dolon rises 50 meters over a distance of 832 meters. What is the gradient?

49) Determine

50) How many tennis balls in a 342 site swap?