Distance Learning Week 4 Assignment 1: Writing Equations

Send a video. Not a thousand words. Click here to watch the video to review how to write equations. 331 students went on a field trip. Six buses were filled and 7 students traveled in cars. Write an equation that could be used to determine, x, the number of students in each bus. 7x + 6 = 331 6x + 7 = 331 331 = 7x - 6 331 = 6x - 7 Aliyah had $24 to spend on seven pencils. After buying them, she had $10. Write an equation that could be used to determine the cost, c, of each pencil. 24 - 7c = 10 7c - 24 = 10 24c - 10 = 7 24 - 10c = 7 The 30 members of a choir are trying to raise $1500 to cover the costs to a singing camp. They have already raised $600. Which equation would you solve to find the average amount, x, each member can raise in order to meet the goal? 30x = 1500 30x - 600 = 1500 x + 600 = 1500 30x + 600 = 1500 Rufus collected 100 pounds of aluminum cans to recycle. He plans to collect an additional 25 pounds each week. Write an equation that could be used to determine the total pounds, p, of aluminum cans after, w, weeks. w = 100 + 25p p = 100w + 25 p = 100 + 25w w = 100p + 25 t = 20c + 25 t = 20(c + 25) t = 25c + 20 t = 25(c + 20) Nicholas is buying shirts for his baseball team. He will pay $9.50 for each shirt plus a one-time fee of $22.50 for the design.Which equation can be used to find y, the total cost to buy x shirts? y = 9.5x + 22.5 y = 22.5 + 9.5 y = 9.5x - 22.5 y = 22.5x - 9.5 A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming. Which statement best describes the depth of the fish, given this equation? From a starting position of 7 meters below sea level, the fish is descending 3 meters per second. From a starting position of 7 meters below sea level, the fish is ascending 3 meters per second. From a starting position of 3 meters below sea level, the fish is descending 7 meters per second. From a starting position of 3 meters below sea level, the fish is ascending 7 meters per second. A pilot takes a taxi from the airport to a hotel. The taxi driver charges a $2.50 initial charge plus $2.65 per mile. Which equation can be used to find y, the total cost of the trip, if x represents the number of miles of the trip? y = 2.50x + 2.65 y = 2.65(x + 2.50) y = 2.65x - 2.50 y = 2.65x + 2.50 Let's see if you remember week 1's concepts.Nerissa has 5 pink bows, 1 blue bow, and 4 purple bows in a box. She will randomly choose 1 bow from the box. What is the probability Nerissa will choose a purple bow? 1 2 1 3 Do you remember?The head of a nail is circular, as shown. The head of this nail has a diameter of 6 millimeters.Which measurement is closest to the area of the head of this nail in square millimeters? 9.42 sq. mm 113.04 sq. mm 28.26 sq. mm 37.68 sq. mm