1. A student lives 23.2 miles from the local community college. Which of the following distances in kilometers does the student travel to go to class? (Round to the nearest tenth.) Note: 1 km = 0.62 mi
A. 37.4 km Correct
B. 14.4 km
C. 61.1 km
D. 23.6 km
Explanation
To convert miles to kilometers, use the formula: kilometers = miles ÷ 0.62. Thus, 23.2 mi ÷ 0.62 ? 37.419 km, rounded to 37.4 km.
2. A temperature gauge reads 95F. Which of the following is the correct conversion to degrees Celsius? (Note: C = 5/9[F - 32])
A. 113C
B. 63C
C. 35C Correct
D. 21C
Explanation
To convert F to C, use the formula: C = 5/9(95 - 32) = 5/9(63) = 35C.
3. (x/y) - z = nw. Solve for x in the equation above.
A. x = y(nw + z) Correct
B. x = y(2 + rw)
C. x = yw + yz
D. x = y(nw - z)
Explanation
To solve for x, first add z to both sides: (x/y) = nw + z. Then multiply both sides by y to isolate x: x = y(nw + z).
4. A board is 12.3 m long. Which of the following is the length of the board in centimeters?
A. 1230 cm Correct
B. 0.123 cm
C. 12300 cm
D. 12.3 cm
Explanation
To convert meters to centimeters, multiply by 100. Thus, 12.3 m X 100 = 1230 cm.
5. An employer wants to purchase one cup of coffee for each of their 214 employees. A cup of coffee costs $3.95. To estimate the total cost, the employer plans to round the number of employees to the nearest ten and round the cost of the coffee to the nearest dollar. Which of the following prices represents the estimated total cost for the coffee?
A. $845.30
B. $840.00 Correct
C. $829.50
D. $850.00
Explanation
Rounding 214 employees to the nearest ten gives 210. Rounding the cost of coffee ($3.95) to the nearest dollar gives $4. The estimated total cost is 210 x $4 = $840.00.