Solving Word Problems with Systems of Equations

What is the key requirement for the coefficients of the variable you want to eliminate in the elimination method?

• They must be even numbers.

• They must be different numbers.

• They must be prime numbers.

• They must be the same number with opposite signs.

In the first example, what do the variables x and y represent?

• x represents the number of boxes, and y represents the total cost.

• x represents large boxes of oranges, and y represents small boxes of oranges.

• x represents small boxes of oranges, and y represents large boxes of oranges.

• x represents the total cost, and y represents the number of boxes.

What is the cost of one small box of oranges in the first example?

• $7

• $14

• $19

• $9

In the second example, what are the variables x and y used to represent?

• x represents the total cost, and y represents the total number of tickets.

• x represents the total number of tickets, and y represents the total cost.

• x represents adult tickets, and y represents child tickets.

• x represents child tickets, and y represents adult tickets.

What is the price of an adult ticket in the second example?

• $3

• $8

• $7

• $5

In the third example, what do the variables x and y represent?

• x represents the number of vehicles, and y represents the total number of students.

• x represents the total number of students, and y represents the number of vehicles.

• x represents the number of students in vans, and y represents the number of students in buses.

• x represents the number of students in buses, and y represents the number of students in vans.

How many students does each van hold in the third example?

• 20

• 21

• 17

• 19

What is the total number of students in high school A's vans and buses?

• 101

• 169

• 85

• 77

What is the importance of showing all work and writing a sentence in the final answer?

• It is a way to check for spelling errors.

• It is required for attendance purposes.

• It ensures the answer is in context and understandable.

• It helps in getting partial credit.

What should you do if you don't have the worksheet for the homework problems?

• Skip the homework.

• Ask a friend for their worksheet.

• Complete the homework in Google Classroom.

• Wait until the next class to get a new worksheet.