Systems of Equations Wrap Up
Warm Up Solve the following systems using any method of your choice. Show ALL work! 1.
π¦ = π₯ + 9 2π¦ = 12 β 6π₯
2. β14π¦ β 7π¦ = 112 π¦ = β2π₯ β 16
3. π₯ + 2π¦ = β4 6π₯ β 4π¦ = β56
4. 3π₯ + 8π¦ = 6 2π₯ + 7π¦ = β2
5. At Macs BBQ, two pulled pork sandwiches and three orders of fries cost $19.75. Five pulled pork sandwiches and two orders of fries cost $37. What is the cost for a sandwich? What is the cost of an order of fries? 6. The sum of two numbers is -Ββ10. Negative three times the first number minus the second number equals 2. Find the numbers. β’ After the warm up:
o Watch the Hahn Academy video for today.
o Work on Mad Libs Video Project with your group. Be ready to submit tomorrow!
o With 30 minutes left in class, do the Systems Quick Check on your own.
Practice Solve the following systems using any method of your choice. Show ALL work! 1.
βπ₯ + 9π¦ = 46 7π₯ β 4π¦ = β27
2. π₯ = 39 + 8π¦
β9π₯ + 2π¦ = β71
3. π¦ = 4π¦ β 9
10π₯ β 40π¦ = β90
4. π¦ = β3π₯ + 7 π¦ = 2π₯ β 3
5. π₯ + 2π¦ = 3 4π₯ + 8π¦ = 4
6. π₯ = 16 β 5π¦ β4π₯ + 2π¦ = 4
5. Karen makes $5 per hour babysitting and $12 per hour giving music lessons. One weekend, she worked a total of 18 hours and made $139. How many hours did she spend babysitting?
6. Erin bought 4 jars of jelly and 6 jars of peanut butter for $19.32. Adam bought 3 jars of jelly and 5 jars of peanut butter for $15.67. Find the cost of a jar of peanut butter?
7. Graham Gano, the kicker for the Carolina Panthers, scored 120 points last season. He scored all his points on either 1-Ββpoint extra point kicks or 3-Ββpoint field goals. He has made 12 more extra point kicks than field goals. How many of each kick has he made?
8. Stephan Curry is competing in a three-Ββpoint shooting competition. For each shot made, the player earns three points. For each shot missed, the player loes five points. After 40 shots, Curry has no points. How many shots did Curry make?