Coordinate Algebra Practice EOCT Answers Unit 1
× = Unit 1 #1 Step 1: Change 12 meters to centimeters 12 m 100 cm A rectangle has a length of 12 m and a width of 400 cm. What is the perimeter of the rectangle? Step 1: Change 12 meters to centimeters A. 824 cm B. 1600 cm C. 2000 cm D. 3200 cm 12 m 1 100 cm 1 m × = 1200 cm Step 2: Find perimeter using formula P = 2L + 2W 400 cm 1200 cm P = 2(1200 cm) + 2(400 cm) P = 2400 cm + 800 cm P = 3200 cm
Unit 1 #2 The tension caused by a wave moving along a string is found using the formula T = . 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 ?
(cm) 1 A. gram-centimeters per second squared #2 Unit 1 (cm) 1 A. gram-centimeters per second squared B. centimeters per second squared C. grams per centimeter-second squared D. centimeters squared per second
#3 Unit 1 The distance a car travels can be found using the formula d = rt, where d is the distance, r is the rate of speed, and t is time. How many miles does the car travel, if it drives at a speed of 70 miles per hour for ½ hour? d = r t A. 35 miles B. 70 miles C. 105 miles D. 140 miles = 35 miles
Unit 1 A certain population of bacteria has an average growth rate of 0.02 bacteria per hour. The formula for the growth of the bacteria’s population is A= P (2.71828)0.02t, where P0 is the original population, and t is the time in hours. #4 If you begin with 200 bacteria, about how many bacteria will there be after 100 hours? A= P(2.71828)0.02t Answer 1478 A= 200(2.71828)0.02100 A= 200(2.71828)2 A= 200(7.389046) = 1477.81
The sum of the angle measures in a triangle is 180°. Two angles of a #5 Unit 1 The sum of the angle measures in a triangle is 180°. Two angles of a triangle measure 20° and 50°. What is the measure of the third angle? Third Angle = x A. 30° B. 70° C. 110° D. 160° x + 20° + 50° = 180° x + 70° = 180° –70° –70° x = 110°
= = P = 2l + 2w P – 2l = 2w P – 2l 2w 2 P – 2l w 2 –2l –2l #6 Unit 1 Which equation shows P = 2l + 2w when solved for w ? P = 2l + 2w A. B. C. D. –2l –2l P – 2l = 2w P – 2l 2w 2 = P – 2l 2 w =
#7 Bruce owns a business that produces widgets. He must bring in more in revenue than he pays out in costs in order to turn a profit. Unit 1 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 monthly to make a profit? Revenue (in dollars) from selling x widgets A. 160 B. 260 C. 267 D. 400 Cost to make x widgets C = 10x + 4000 R = 25x Note: A profit occurs when enough widgets are made and sold to break even. (i.e. R = C) R = C (Set up equation) 25x = 10x + 4000
#7 Bruce owns a business that produces widgets. He must bring in more in revenue than he pays out in costs in order to turn a profit. Unit 1 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 monthly to make a profit? A. 160 B. 260 C. 267 D. 400 (Set up equation) 25x = 10x + 4000 –10x –10x 15x = 4000 15x 4000 15 = Note: A minimum of 267 widgets must be sold in order to make a profit. x = 267