Review of Systems of Equations and Inequalities
Graph:
2x - y > -3
Graph:
y < 2x + 1
2x - 5y < 10
Solve by graphing:
x + y = 4
2x - 5y = 15
Solve by elimination:
2x - y = 11
7x - 3y = 15
Find the value of y:
y = 2x + 3
y = -x - 9
Solve:
2x + 8y = 6
5x + 20y = 15
Select the systems that have the same solution
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.
A tournament has 187 athletes. There are 91 more girls than boys. Let x equal the number of girls and let y equal the number of boys. Select the two equations that would represent this system.
Tom is going to save money by walking his neighbor’s dog (d) for $6 per hour and washing cars for (c) $7.50 per hour. He can work no more than 15 hours and must walk the dog at least 2 hours. Tom needs to make $75 or more.
Write a system of inequalities using these constraints. Select ALL of the equations that apply.