Final Exam DMAT 317 Fall 2019

Name___________________________________ Students ID___________________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

1) Find the greatest common factor of 36 and 49. 1) A) 1 B) 36 C) 1,764 D) 49

2) Linda and Deepti are walking and jogging on a circular trail. Linda can complete one circuit in 40 minutes, and Deepti can complete the circuit in 70 minutes. If they both start at the same place at the same time, when will they be at the starting place at the same time?

2)

A) 2800 minutes B) 40 minutes C) 10 minutes D) 280 minutes

3) Perform the indicated operations. (82 – 60) + [(-3 × 4) – 36 ÷ 4] 3) A) 10 B) 19 C) 1 D) 25

4) Convert the mixed number to an improper fraction. 3 5 6

4)

A) 23 6

B) 25 6

C) 7 3

D) 19 2

5) Change the fraction to an equivalent fraction with the given denominator. 13 31

= ? 217

5)

A) 403 217

B) 26

217 C)

91 217

D) 14

217

6) Change the fraction to a decimal. 19 24

6)

A) 0.7916 B) 0.7,916 C) 0.7916 D) 0.7916

7) Which number is irrational? 7)

A) 0.454545… B) 25 C) 29 D) 2 3

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8) Perform the operation and simplify the answer. 9 55 4 5

8)

A) 1,980 B) 65 11 C) 900 11 D) 180 11

9) Perform the indicated operation and simplify the answer. 5 24 + 3 54

9)

A) 47 6 B) 19 6 C) 8 78 D) Cannot be simplified.

10) Simplify. 88 8-8 10) A) 8 B) 1 C) Undefined D) 0

11) Multiply. Write the answer in scientific notation. (6 × 108)(2 × 108)

11)

A) 1.2 × 1065 B) 12 × 1064 C) 12 × 1016 D) 1.2 × 1017

12) Write each number in scientific notation and then multiply. Give the answer in scientific notation.

(71,000,000)(200,000)

12)

A) 1.42 × 1012 B) 1.42 × 1013 C) 142 × 1011 D) 14.2 × 1012

13) Write the phrase in symbols: Eight less than three times a number. 13) A) 3x – 8 B) 3(8 – x) C) 8 – 3x D) 3(x – 8)

14) Find the y-intercept. -2x – 8y = 16

14)

A) (0, -8) B) (-2, 0) C) (0, -2) D) (-8, 0)

15) Find the slope of the line passing through the points (3, 1) and (0, -6). 15)

A) 7 3

B) 3 7

C) – 3 7

D) – 7 3

16) A newspaper advertisement costs $5.00 per week to run the ad plus a setup charge of $30.00. Find the cost of running the ad for 5 weeks.

16)

A) $25.00 B) $175.00 C) $55.00 D) $150.00

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17) Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in the sequence. 1 3 7 13 15 19 25 27 31 37

17)

A) 43 B) 39 C) 45 D) 41

18) Round to the nearest hundredth. 2.87491

18)

A) 2.88000 B) 2.87000 C) 2.87400 D) 2.87500

19) Phil has 12 stamps of denominations $0.37 and $0.23. If the total value of the stamps is $4.02 how many $0.37 stamps does Phil have?

19)

A) 3 B) 10 C) 8 D) 9

20) Write the set using roster notation: The set of even natural numbers less than 10.

20)

A) {2, 4, 6, 8, 10} B) {x x and x < 10} C) {x x and x < 10} D) {2, 4, 6, 8}

21) Write the set using set-builder notation: The set of natural numbers greater than 11.

21)

A) {x x and x > 11} B) {11, 12, 13, 14, . . .} C) {x x > 11} D) {12, 13, 14, 15, . . .}

22) Which set is finite? 22) A) {x x and x < 100} B) {x x and x is odd} C) {2, 4, 6, 8, 10, 12, . . .} D) {x x and x > 100}

23) Classify each pair of sets as equal, equivalent, or neither. {a, b, c, d, e} and {5, 4, 3, 2, 1}

23)

A) neither B) equal and equivalent C) equivalent

24) Let U = {8, 16, 24, 32, 40, 48, 56, 64} and A = {24, 32, 40, 56}. A’ 24) A) A’ = {8, 16, 48, 64} B) A’ = C) A’ = {8, 16, 64} D) A’ = {0}

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25) Let U = {5, 10, 15, 20, 25, 30, 35, 40} A = {5, 10, 15, 20} B = {25, 30, 35, 40} C = {10, 20, 30, 40}.

Find A B.

25)

A) A B = {5, 10, 35, 40} B) A B = C) A B = {10, 15} D) A B = {5, 10, 15, 20, 25, 30, 35, 40}

26) Let U = {5, 10, 15, 20, 25, 30, 35, 40} A = {5, 10, 15, 20} B = {25, 30, 35, 40} C = {10, 20, 30, 40}.

Find A’ C’

26)

A) A’ C’ = B) A’ C’ = {25, 35} C) A’ C’ = {5, 10, 15, 20, 25, 30, 35, 40} D) A’ C’ = {5, 15, 25, 30, 35, 40}

27) Draw a Venn diagram and shade the sections representing A (B C)

27)

A) B)

C) D)

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28) Use the Venn diagram and find n(A B). 28)

A) n(A B) = 7 B) n(A B) = 9 C) n(A B) = 2 D) n(A B) = 5

29) In a group of 53 children, 22 had a dog, 18 had a cat, and 6 had both a dog and a cat. How many children had neither a dog nor a cat as a pet?

29)

A) 12 B) 31 C) 19 D) 37

30) Convert the following measurement to the specified measurement. 873 mm = cm

30)

A) 87.3 cm B) 8.73 cm C) 8,730 cm D) 87,300 cm

31) Convert the following measurement to the specified measurement. Round to the nearest hundredth.

1,545 meters = feet

31)

A) 5,068.84 feet B) 4,709.22 feet C) 50,688.36 feet D) 470.92 feet

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32) Use an English/Metric conversion for area given in the table to convert the following measurement to the specified measurement. Round to the nearest hundredth, if necessary.

1 in2 6.45 cm2

1 ft2 0.093 m2

1 yd2 0.836 m2

1 mi2 2.59 km2

1 acre 4,047 m2

6,961 mi2 = km2

32)

A) 11,202.67 km2 B) 18,028.99 km2

C) 2,687.64 km2 D) 4,325.35 km2

33) Convert the unit of capacity. 3 pt = fl oz

33)

A) 24 fl oz B) 6 fl oz C) 12 fl oz D) 48 fl oz

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