Applied Math Practice, Week 8Fall 2016

Due in class Thursday, 10/13/1648 pts total

Name:

Find the unknown:

  1. -6f + 12÷2 – 3f = 14÷(6+1) – 3f + 4
  1. -4(2r + 5 – 3r + 7) – r = r + 8÷23×3r – 1
  1. 4L + 12 – 7L = -36÷4×3L – 15 + 2
  1. 13 – c + 12 + 5c = -9c + 16 – 9 – 3c
  1. 7w + 2 – 11w = -6 + 12 + 2w

Choose the appropriate equation for the problem and solve:

  1. Thor’s hammerMjölnir hits Loki with a force of 23,000 N. Mjölner weighs 19.19 kg. How quickly was Mjölner accelerating towards Loki when it hit?
  1. It takes an object 79 seconds to go from a velocity of 24 m/s to 800 m/s. What was the object’s acceleration?
  1. The average human head is 56 cm in circumference. Assuming Mr. Clean’s head is perfectly spherical, what is the diameter of his brilliantly shiny head?
  1. Emperor Palpatine is capable of shooting lightning that is 25, 675 volts. The resistance through Luke’s body is 10,000 ohms. What is the amperage coursing through his body?
  1. King Arthur and Lancelot race their horses 1,250 meters, and Lancelot finishes the race in 5 minutes. If both Arthur’s and Lancelot’s horses were still when they started their race, what was their acceleration?
  1. The surface area of the Moon is 37,914,863,860,156 square meters. What is its radius?
  1. Agamemnon is running at when he throws his spear. 3 s later it has gone 75 m and had been accelerating at a rate of 2.5 m/s2. What was the initial velocity applied to the spear?

Solve the word problems:

  1. The Earth is 40,074,275 m in circumference. What is its diameter?
  1. A 12 V adapter has an electrical impedance of 0.7 amps. What is the resistance in the adapter?
  1. Rafael Márquez, the captain of Mexico’s national soccer team, is running at a velocity of 2 m/s. A short while later he is going 7.1 m/s after accelerating at a rate of 1.02 m/s2. How long did it take him to get to 7.1 m/s?
  1. Jupiter has a gigantic radius of 69,911,000,000 m. What is its surface area?
  1. Jackie Chan can punch a brick wall in half (probably, it’s Jackie Chan). If his fist weighs 1.02 kg, how quickly must his fist accelerate towards a brick wall if he’s going to strike with a force of 319 Newtons?

Draw a number line representing the inequality statement:

  1. 5 < t
  1. f < -12
  1. -3 ≥w

Rearrange the inequalities for the unknown:

Applied Math Practice, Week 8Fall 2016

Due in class Thursday, 10/13/1648 pts total

  1. 3j + 2 > -9j – 3
  1. 5 – 7x < 2x – 4
  1. -12 + 4w ≥ -2– w
  1. 15m÷3m – 9 < 2m + 12
  1. 10k + 5 ≤ -3 + 5k
  1. 2x + 3 < -4 – 12x
  1. -10÷2×3n≥ 6 + 2n

Applied Math Practice, Week 8Fall 2016

Due in class Thursday, 10/13/1648 pts total

Express the inequalities as a mathematical statement and visually:

  1. “All values less than and equal to -10.”
  1. “Twelve is less than the values expressed by j.”

Express the mathematical statements in words and visually:

  1. -9 > w
  1. k ≥ 15
  1. 10 ≤v

Solve the word problems:

  1. Saruman’sPalantír has a circumference of 28.2743”. What is its diameter?
  1. Tokyo is 9,567,550.1 meters away from Albuquerque. What is the average velocity of a plane that takes 11 hours to fly from Albuquerque to Tokyo?
  1. A perfectly spherical pumpkin is selected to become a Jack-o-lantern. What is the surface area if its radius is 14” long?
  1. Ein the corgi has been running at a crazy 3.68 m/s when he stops to rest, having started off trotting at 1.8 m/s. His acceleration during his run was 0.04 m/s2. How long was he running?
  1. A large stereo speaker has a resistance of 8 ohms and is producing 40 V. What is the current (in amps) flowing through the speaker?