Math 1060 Math Pathways Test Two

SHOW ALL WORK. You may use a calculator but you must write down all the steps of each calculation on your test.

Each answer is worth 2 points. You must follow all instructions to receive credit. No partial credit will be given.

For all measurement conversions, you must use the conversion factors from our class formula sheet only.

Multiply. 1) 4 · (-3) · (-5) · 4 · (-3)

Evaluate.

2) 3 – (-3) · (-3)3

Solve. 3) On January 5, the temperature at a camp site near the arctic circle was 4° Fahrenheit. The temperature

dropped 5° F per day for 17 days. What was the temperature on January 17? You must write your answer in complete sentence form and include correct units for credit.

Subtract. 4) 0.84 – (-46)

Find the product.

5) (-310)2

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Simplify.

6) (5 – 15)2 ÷ (2 – 4)2

7) -3 · (-4 + 2.3)

Solve. 8) Two airplanes take off from the same airport, one traveling east and the other traveling west. At a given

point in time, one of the airplanes has flown 329 miles and the other has flown 521 miles. At that point in time, how far apart are they? You must write your answer in complete sentence form and include correct units for credit.

Divide.

9) 1 7

÷ – 1 8

Subtract. 10) -6 + (-7)

Solve. 11) The students in Hugh Logan’s math class took the Scholastic Aptitude Test. Their math scores are shown

below. Find the mean score. Round to the nearest tenth. 540 622 354 346 622 341 344 510 470 472

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12) Here are the prices (in dollars) of 16 electric smoothtop ranges. What are the mode and range of the prices? 875 1030 665 575 1465 1130 775 1030 730 775 840 1330 565 1075 1020 690

Use the circle graph to solve the problem. 13) A survey of the 2075 vehicles on the campus of State University yielded the following circle graph.

11%

15% 35%

9%

4% 26%

Together, what percent of the vehicles are either vans or convertibles?

Use the table to solve the problem. 14)

Moon Average Distance

from Geo 1 (km) Diameter (km) Time of Revolution

(in Earth time, years) Luna 1 2000 412 0.50 Luna 2 2600 2181 1.54 Luna 3 70,000 315 2.72 Luna 4 100,800 727 34.09 Luna 5 231,000 1139 87.78

What is the time of revolution around Geo 1 of the moon Luna 3? Include correct units.

Find the median of the set of numbers. 15) Newspapers delivered each day: 95, 61, 216 161, 297, 243, 237

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Use the pictograph to answer the question. 16) This pictograph shows projected sales of compact disks (CDs) for a popular rock band for seven consecutive

years. Year Projected CD Sales 2013 2012 2011 2010 2009 2008 2007

= 1000 CDs

How many sales do 5 CD symbols represent?

The bar graph below shows the number of students by major in the College of Arts and Sciences. Answer the question.

17) How many more students majored in Math compared to English?

Find the median of the set of numbers. 18) 19.3, 19.4, 18.3, 18.9, 19.3, 18.5 Round to the nearest hundredth.

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Solve. 19) The following circle graph displays Chris and Mary Smith’s monthly $2900 family budget.

What fraction of the total monthly budget is spent on rent?

Find the median of the set of numbers. 20) -3, 3, 1, -6, -8

Solve and write out your check. 21) 5.3t = -47.7

Write the relationship as an equation or formula. 22) According to Ohm’s Law, the voltage, V, across an electric circuit, is equal to the current, I, flowing through

the circuit, times the resistance of the circuit, R.

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Simplify. 23) 5x + 6x – 2x + 7y – 3y

For #24 and #25, solve the equation and write out your check. 24) 10n – 2 = 88

25) 0.6(20 – y) = 54

For #26 and #27, solve the equation and write out your check. 26) y – 18 = -9

27) 21.2x = 84.8

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Solve the equation and write out your check.

28) 7.5 = n 2.93

Solve the equation and write out your check. 29) 2(5c – 5) = 5c + 5

Solve the problem. 30) An airplane is cruising at an altitude of 29,123 feet. Express this distance to the nearest meter.

Change the given quantity to the indicated unit. 31) 52 km = m

For #32 and #33, compute and simplify.

32) 7 hr

– 3 hr 4 min

33) 9 yr – 3 yr 4 mo

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For #34 and #35, change the given quantity to the indicated unit.

34) 360 sec = min

35) 502 mm = cm

Change the given quantity to the indicated unit. Round the answer to the nearest tenth of the unit.

36) 32 km mi

Change the given quantity to the indicated unit.

37) 24 L = ml

Compute and simplify.

38)

3 min 2 sec 72 sec

+ 3 min 12 sec

Solve the problem. 39) A drippy faucet wastes 22 oz of water a day. If there are 41 million such drippy faucets, how much water,

in gallons, is wasted in a day? You must write your answer in complete sentence form and include correct units for credit.

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Find the area of the figure. You must include correct units for area for credit. 40)

32 yd

26 yd

Approximate the square root. Write all digits shown on your calculator. 41) 5

Find the missing length. You must include correct units for length for credit. 42)

15 m c

20 m

Find the circumference of the circle. Use 3.14 as the approximate value of . You must include correct units for circumference for credit.

43)

1.96 m i

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Find area of figure. You must include correct units for area for credit. 44) Find the area of a square measuring 54 km on a side.

Find the missing length to the nearest tenth. You must include correct units for length for credit. 45)

15 m i 35 m i

b

Solve the problem. 46) A small farm field is a square measuring 284 ft on a side. What is the perimeter of the field? If you double

the length of each side of the field, what is the new perimeter? You must write your answer in complete sentence form and include correct units for credit.

Find the square root. 47) 810000

Solve the problem. Use 3.14 as the approximate value of . 48) A cylindrical drain pipe is 4 in. across the top and about 10 in. high. How many cubic inches of water could

it hold? You must write your answer in complete sentence form and include correct units for credit.

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Plot and label the given points on the graph.

49) E: (1, 6) F: (5, 0) G: (-9, 2) H: (2, -3)

Find the slope of a straight line that passes through the given pair of points. 50) (1, -7) and (17, 14)