Unit conversion

1. Unit conversion The formula for density d is where m is mass and v is volume. If mass is measured in kilograms and volume is measured in cubic meters, what is the unit rate for density? a.) meters cubed-kilograms b.) kilograms-meters cubed c.) density kilograms d.) mass-volume

2. Unit conversion Anabel studied for 3.5 hours. There are 60 minutes in 1 hour. Haw many minutes did Anabel study? a.) 35 minutes b.) 17 minutes c.) 180 minutes d.) 210 minutes

3. Unit conversion A rattlesnake is 2.44 meters long. There are 100 centimeters in a meter. How long is the snake in centimeters? a.) 2440 cm b.) 244 cm c.) 24.4 cm d.) 2.44cm

4. Unit conversion Ronny ran 2 miles on Saturday. There are 5,280 feet in a mile. How many feet did he run? a.) 10, 560 ft b.) 2, 640 ft c.) 100, 560 ft d.) 1, 560 ft

5. Plugging in The kinetic energy of an object in motion is found by using the formula , where m is the mass of the object in kilograms and v is the velocity of the object in meters per second. If the velocity of the object is 12 meters per second, what is the coefficient of m? a.) 24 meters/second b.) 6 meters/second c.) 60 meters/second d.) 2.4 meters/second

6. Plugging in Using the exponential decay model , where a is the initial amount, r is the percent decrease expressed as a decimal and t is the time, write a model and find the value after 6 years of an iPod Touch that initially cost $300, and is expected to decrease by 15% per year. a.) $693.92 b.) $113.14 c.) $225 d.) $503

7. Plugging in Nuclear energy derived from radioactive isotopes can be used to supply power to space vehicles. Suppose that the output of the radioactive power supply for a certain satellite is given by the function: f(x) = 30e-0.003t. In the function f(x) is measured in watts and t is time in days. How many watts will the radioactive supply produce after 300 days? a.) 27.4 b.) 29.5 c.) 12.2 d.) 73.9

8. Plugging in A rectangle has an area of 30 cm2 and a length of 10 cm. What is the width? a.) 3 cm b.) 300 cm c.) 10cm d.) 0.3 cm

9. Literal equations What is the solution to the equation a – b = c when solved for a? a.) – b = c – a b.) a = b + c c.) a = b*c d.) b = a – c

10. Literal equations What is the solution to the equation 2x + y = z when solved for x? a.) b.) c.) d.)

11. Literal equations What is the solution to the equation d = rt when solved for t? a.) b.) c.) d.)

12. Literal equations What is the solution to the equation a = 3b + 4c when solved for c? a.) b.) c.) d.)

13. Writing expressions Write a model that represents the following: Student tickets to a football game cost $5 and adult tickets cost $8. The total amount of money brought in from ticket sales was $2,200. a.) x + y = 2200 b.) x – y = 2200 c.) 5x – 8y = 2200 d.) 5x + 8y = 2200

14. Writing expressions A rectangle is 15ft longer than it is wide. Its perimeter is at least 72ft. Write a model for the smallest possible dimensions for the rectangle. a.) b.) c.) d.)

15. Writing expressions Jodie works at an electronics store as a salesperson. She receives a weekly salary of $275 plus she makes commission in the amount of 5% of what she sells. Which of the following represents her total earnings, E, in terms of s, the number of electronics she sells, not including any taxes? a.) E + .05s = 275 b.) E + 5s = 275 c.) E = 275 + 5s d.) E = 275 + .05s

16. Writing equations The length of a rectangle is 4 units less than 6 times its width. The area of the rectangle is 129 square units. Which of the following equations can be used to find w, the width of the rectangle? a.) 7w – 24 = 129 b.) 6w2 – 4w = 129 c.) 7w – 4 = 129 d.) 6w2 – 24w = 129