A1 Unit Review: System of Equations & Inequalities

Michael wants to rent a car for his upcoming vacation. Rental Carz charges a $50 fee and $0.25 per mile. Speed Away charges a $25 fee and $.50 per mile. The graph represents the situation. At what number of miles will the cost for both rental companies be the same?

• 10 miles

• 20 miles

• 15 miles

• 40 miles

Sylvia has 20 coins, all dimes and nickels. The total value of the coins is $1.35. If d = number of dimes n = number of nickels, which equations could be used to create a system of linear equations to solve for how many of each kind of coin?

Tags

CCSS.8.EE.C.8C

Identify the two inequalities that make up the system of linear inequalities in the graph.

Monica works part time babysitting for her neighbors. She can work for no more than 10 hours per week. She charges the Davis family $12 per hour for 2 kids. She charges the Duncan family $15 per hour for 3 kids. She needs to make at least $100 each week to make her car payment.

Given x represents the hours babysitting for the Davis family and y represents the hours babysitting for the Duncan family.

Finish the inequality to represent the number of hours she can work each week.

Monica works part time babysitting for her neighbors. She can work for no more than 10 hours per week. She charges the Davis family $12 per hour for 2 kids. She charges the Duncan family $15 per hour for 3 kids. She needs to make at least $100 each week to make her car payment.

Given x represents the hours babysitting for the Davis family and y represents the hours babysitting for the Duncan family.

Finish the inequality to represent the the money she needs to make each week.

Monica works part time babysitting for her neighbors. She can work for no more than 10 hours per week. She charges the Davis family $12 per hour for 2 kids. She charges the Duncan family $15 per hour for 3 kids. She needs to make at least $100 each week to make her car payment.

Given x represents the hours babysitting for the Davis family and y represents the hours babysitting for the Duncan family.

Select any combination of babysitting jobs that allow her to make at least $100 and not work more than 10 hours.

• 4 hours babysitting for the Davis family

  and

  5 hours babysitting for the Duncan family

• 2 hours babysitting for the Davis family

  and

  5 hours babysitting for the Duncan family

• 5 hours babysitting for the Davis family

  and

  2 hours babysitting for the Duncan family

• 7 hours babysitting for the Duncan family

Which explanation best describes how to identify the solution set of the system of linear inequalities?

• The solution set is where the red section of the graph.

• The solution set is the blue section of the graph.

• The solution set is where the red and blue sections overlap.

• The solution set is where there is neither red nor blue.

Mrs. Germany's Algebra 1 class has 53 students. There are 7 more girls than boys in the class.

Given g represents the number of girls and b represents the number of boys.

Write an equation to represent the total number of students in the class.

Mrs. Germany's Algebra 1 class has 53 students. There are 7 more girls than boys in the class.

Given g represents the number of girls and b represents the number of boys.

Write an equation to represent the number of girls in the class.