Solving Word Problems with Systems of Equations

The video tutorial covers solving word problems using systems of equations. It begins with a review of the steps involved, such as identifying variables and setting up equations. Two examples are provided: calculating the cost of chicken wings and burgers. The tutorial demonstrates using the elimination method to solve these problems, emphasizing the importance of labeling variables and aligning equations. The video concludes with a summary of the solutions found for each example.

What is the first step in solving word problems using systems of equations?

• Write the system of equations

• Identify your variables

• Use the 'therefore' symbol

• Solve the system of equations

In the problem involving Bill and Ted, what does 'w' represent?

• Chicken tenders

• Chicken wings

• Total cost

• Number of items

How much did Bill pay for his order?

• $7.75

• $10.00

• $14.25

• $12.50

Which method is preferred by the teacher for solving the system of equations in the Bill and Ted problem?

• Substitution method

• Graphing method

• Trial and error method

• Elimination method

What is the cost of one chicken wing according to the solution?

• $1.00

• $1.25

• $2.00

• $1.50

In the second example, what does 'b' represent?

• Number of items

• Total cost

• Burgers

• Hot dogs

How much did the first soccer team spend on their order?

• $66.75

• $45.25

• $58.50

• $50.00

What is the least common multiple of 7 and 9 used in the elimination method?

• 49

• 56

• 63

• 72

What is the cost of one burger according to the solution?

• $2.75

• $3.00

• $3.75

• $3.50

What is the final step in solving word problems using systems of equations?

• Write the system of equations

• Solve the system of equations

• Use the 'therefore' symbol

• Identify your variables