SYSTEMS OF LINEAR INEQUALITIES Alternate
Inequalities notes Question #1Directions: Use Desmos to determine which ordered pair is a solution to each system of inequalities.Click the keyboard looking button to pull up the symbols (6, -7) (0, 1) (2, -5) (0, 0) Question #2 (0, -1) (1, 0) (0, 0) (3,4) (0, 1) Question #3Match the correct Inequality to the number on the systems graphed above. Inequality #1 Inequality #2 Inequality #3 Question #4 Question #5Are the following points solutions to the system shown below?Click the point (don't drag) to click where it needs to go. Solutions (0,0) (0,1) (-1,0) Not a Solution (1,1) (2,3) (1,0) (3,5) Question #6Luis receives a gift card worth $100 to an online retailer that sells digital music and games. Each song costs $1, and each game costs $5. He wants to buy at least 30 items with this card. How many games and songs can he buy? Solution Songs: 15 Games: 15 Songs: 30 Games: 5 Not a Solution Songs: 20 Games: 20 Songs: 10 Games: 10 Songs: 5 Games: 30 Question #7Sarah is selling bracelets (b) and earrings (e) to make money for summer vacation. The bracelets cost $2 and the earrings cost $3. She needs to make at least $60. Sarah knows she will sell more than 10 bracelets. Select the system of inequalities that represents this situation Question #8You can work at most 20 hours next week. You need to earn at least $92 to cover you weekly expenses. Your dog- walking job (x) pays $7.50 per hour and your job as a car wash attendant (y) pays $6 per hour. Write a system of linear inequalities to model the situation. Question #9You can work at most 20 hours next week. You need to earn at least $92 to cover you weekly expenses. Your dog- walking job (x) pays $7.50 per hour and your job as a car wash attendant (y) pays $6 per hour.Select the points that are solutions. Solution (10,6) (15, 0) Not a solution (0, 15) (4, 8) Question #10aA ski company makes two types of skis and has a fabrication and a finishing department. A pair of downhill skis requires 6 hours to fabricate and 1 hour to finish. A pair of cross-country skis requires 4 hours to fabricate and 1 hour to finish. The fabricating department has 108 hours of labor available per day. The finishing department has 24 hours of labor available per day. They must produce at least 10 pairs of skis per day. Write a system of inequalities that be used to represent the situation.Select ALL the correct inequalities. Question #10bA ski company makes two types of skis and has a fabrication and a finishing department. A pair of downhill skis requires 6 hours to fabricate and 1 hour to finish. A pair of cross-country skis requires 4 hours to fabricate and 1 hour to finish. The fabricating department has 108 hours of labor available per day. The finishing department has 24 hours of labor available per day. They must produce at least 10 pairs of skis per day. Determine if the following be possible solutions or not. Solution 10 downhill skis and 10 cross country skis 5 downhill skis and 5 cross country skis 2 downhill skis and 18 cross country skis Not solutions 4 downhill skis and 4 cross country skis 18 downhill skis and 2 cross country skis 12 downhill skis and 12 cross country skis #11 aYou are stenciling wooden boxes to sell at a fair. Stenciling takes 2 hours for a small box (s) and 3 hours for a large box (L). You have no more than 30 hours available but wants at least 4 small boxes and 1 large box to sell.Select ALL inequalities needed to represent this situation. #11 bYou are stenciling wooden boxes to sell at a fair. Stenciling takes 2 hours for a small box (s) and 3 hours for a large box (L). You have no more than 30 hours available but wants at least 4 small boxes and 1 large box to sell. Determine if the following are possible solutions. Solution 4 small boxes and 1 large box 5 small boxes and 5 large boxes 9 small boxes and 4 large boxes Not a solution 1 small box and 4 large boxes 2 small boxes and 15 large boxes 8 small boxes and 5 large boxes Need extra help? Here's another video...