Equations Practice

Dan’s school is planning a field trip to a museum. Bus Company A charges a $40 rental fee plus $4 for each student. Bus Company B charges $100 plus $2 per student. How many students would have to go for the cost to be the same?

• 10 students

• 30 Students

• 35 Students

• 70 Students

Jody has two salary options. She can earn a salary of $500 per week plus 2% of the weekly sales or a salary of $200 per week plus 5% of the weekly sales. Which equation shows the amount in sales in order for both options to be the same?

• 200 + 2x = 500 + 5x

• 200 + 0.02x = 500 + 0.05x

• 500 + 2x = 200 + 5x

• 500 + 0.02x = 200 + 0.05x

Mr. Smith needs to hire a plumber to do repairs at his house. The table shows the amounts Company A and Company B charges for a service call and their hourly rate. Which inequality represents the number of hours that would make Company B less expensive than Company A?

• 75 + 20x > 55 + 44x

• 75 + 44x > 55 + 20x

• 75 + 20x < 55 + 44x

• 75 + 44x < 55 + 20x

Which situation can be represented by the equation

2x + 150 = 5x?

• Mary has 5 stamps and buys 150 stamps each week. Nick has no stamps and buys 2 stamps each week. When will Marty have more stamps than Mary?

• Mary has 2 stamps and buys 150 stamps each week. Nick has no stamps and buys 5 stamps each week. When will they have the same number of stamps?

• Mary has 150 stamps and buys 5 stamps each week. Nick has no stamps and buys 2 stamps each week. When will Marty have more stamps than Mary?

• Mary has 150 stamps and buys 2 stamps each week. Nick has no stamps and buys 5 stamps each week. When will they have the same number of stamps?

Which situation can be represented by the inequality 15x > 12x + 100?

• Juanita saves $15 each week. Dan has already saved $100 and saves $12 each week. When will Juanita have less money saved than Dan?

• Juanita saves $12 each week. Dan has already saved $100 and saves $15 each week. When will Juanita have less money saved than Dan?

• Juanita saves $15 each week. Dan has already saved $100 and saves $12 each week. When will Juanita have more money saved than Dan?