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Study Guide Topic 4: Systems of Equations and Inequalities

Last updated almost 5 years ago
10 questions
Note from the author:
Review of Systems of Equations and Inequalities
1

Graph:
2x - y > -3

1

Graph:
y < 2x + 1
2x - 5y < 10

1

Solve by graphing:
x + y = 4
2x - 5y = 15

1

Solve by elimination:
2x - y = 11
7x - 3y = 15

1

Find the value of y:
y = 2x + 3
y = -x - 9

1

Solve:
2x + 8y = 6
5x + 20y = 15

1

Select the systems that have the same solution

1

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.

1

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.

1

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.