CCCA EOCT Review – Units 1 and 2HWK – Day 75

Name: ______Date: ______

EOCT Practice Problems

  1. A rectangle has an area of 12 m.2 and a width of 400 cm. What is the length of therectangle?

A. 3 cmB. 30 cmC. 300 cmD. 3000 cm

  1. What is the area of a circle with a circumference of 43.98226 inches?

A. 153.44029 in.2B. 153.93791 in.2C. 153.9325 in.2 D. 153.9394 in.2

  1. The tension caused by a wave moving along a string is found using the formula . If m is the mass of the string in grams, L is the length of the string in centimeters, and v is the velocity of the wave in centimeters per second, what is the unit of the tension of the string, T?
  1. gram-centimeters per second squared
  2. centimeters per second squared
  3. grams per centimeter-second squared
  4. D. centimeters squared per second
  1. The kinetic energy of an object in motion is found using the formula KE = ½ mv2wherem 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 20 meters per second, what is the coefficient of m?
  1. 10 meters/second
  2. 20 meters/second

C. 200 meters squared/second squared

D. 400 meters squared/second squared

  1. A certain population of bacteria has a growth rate of 0.02 bacteria/hour. The formulafor the growth of the bacteria’s population is A = P0(2.71828)0.02t, where P0 is theoriginal population and t is the time in hours. If you begin with 200 bacteria, approximately how many of the bacteria can you expectafter 100 hours?

A. 7.38905B. 271.828C. 1477.81D. 20,000

  1. What is the solution to the equation P = 2l + 2w when solved for w?
  1. B. C. D.
  1. Bruce owns a business that produces widgets. He must bring in more in revenue than hepays out in costs in order to turn a profit.

•It costs $10 in labor and materials to make each of his widgets.

•His rent each month for his factory is $4000.

•He sells each widget for $25.

How many widgets does Bruce need to sell each month to make the minimum

profit?

A. 160B. 260C. 267D. 400

  1. Emily wants to solve the equation ax –w = 3 for w. Which equation shows the results ofa correctly applied strategy?

A. w = ax –3B. w = ax + 3C. w = 3 –ax D. w = 3 + ax

  1. Which equation is equivalent to ?

A. 17x = 88B. 11x = 88C. 4x = 44D. 2x = 44

  1. Which equation is equivalent to 4n=2(t−3) when solved for t?
  1. B. C. D.
  1. Which equation is equivalent to 6(x + 4) = 2(y + 5) when solved for y?

A. y = x + 3B. y = x + 5C. y = 3x + 7 D. y = 3x + 17

  1. This equation can be used to find h, the number of hours it takes Flo and Bryan to mowtheir lawn.

How many hours will it take them?

  1. 6B. 3C. 2D. 1
  1. Which expression represents all values of x for which the inequality is true?
  1. x < 1B. x > 1C. x < 5D. x > 5
  1. A manager is comparing the cost of buying ball caps with the company emblem fromtwo different companies.

•Company X charges a $50 fee plus $7 per cap.

•Company Y charges a $30 fee plus $9 per cap.

For what number of ball caps will the manager’s cost be the same for both companies?

A. 10 capsB. 20 capsC. 40 capsD. 100 caps

  1. A shop sells one-pound bags of peanuts for $2 and three-pound bags of peanuts for $5. If 9 bags are purchased for a total cost of $36, how many three-pound bags were purchased?

A. 3B. 6C. 9D. 18

  1. Which graph would represent a system of linear equations that has multiple commoncoordinate pairs?
  1. B. C. D.
  1. Which pair of inequalities is shown in the graph?
  1. y > –x + 1 and y > x –5
  2. y > x + 1 and y > x –5
  3. y > –x + 1 and y > –x –5
  4. D. y > x + 1 and y > –x –5