Bell Ringer 4/30/19 Systems of Equations and Inequalities

by Dineska McZeal

| 4 QuestionsNote 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.

Enter your answer, justification, and explanation in the box provided.

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.

Enter your answer, justification, and explanation in the box provided.

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