Bell Ringer 4/30/19 Systems of Equations and Inequalities
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by Dineska McZeal
| 4 Questions
Note from the author:
Type II and III Questions on Systems of Equations and Inequalities
1
1
Breeze is a high school student with two part-time jobs. He earns \$20 per tutoring middle school kids in science. He earns \$10 per hour cleaning at the local church. His goal is to earn at least \$280 per week, but because of school, he does not work more than 25 hours each week.

Let m represent the number of hours Breeze works in one week tutoring middle school students and let c represent the number of hours Breeze works in one week cleaning the library.
Which inequalities represent Breeze's goal for earning money and the number of hours he can work in one week? SELECT ALL THAT APPLY

c + m < 25
10c + 20m < 20
10c + 20m > 20
c + m < 280
10c + 20m > 280
10c + 20m < 280
2
1
Breeze is a high school student with two part-time jobs. He earns \$20 per tutoring
middle school kids in science. He earns \$10 per hour cleaning at the local church.
His goal is to earn at least \$280 per week, but because of school, he does not work
more than 25 hours each week.

Which combinations allow Breeze to work no more than 25 hours in one week and earn at least \$280? select the three correct combinations.
10 hours tutoring and 15 hours cleaning
22 hours of tutoring and 4 hours of cleaning
2 hours of tutoring and 32 hours of cleaning
18 hours of tutoring and 7 hours of cleaning
6 hours of tutoring and 19 hours of cleaning
13 hours of tutoring and 12 hours of cleaning
3
1
Consider the system of equations:

-4x + 12y = -16
cx + 6y = -8
What value of c would produce a system that has infinite number of solutions? Justify your answer.

4
1
Consider the system of equations:

-4x + 12y = -16
cx + 6y = -8

Explain why there is no value of c that would produce a system with no solution.