Algebraic Problem Solving with Ben and Amy

What is the total amount of money saved by Ben and Amy together?

• $80

• $60

• $40

• $100

If Amy saved twice as much as Ben, how much did Ben save?

• $40

• $30

• $20

• $10

Why is algebra useful in solving problems with unknown values?

• It makes calculations faster.

• It allows the use of variables to represent unknowns.

• It eliminates the need for equations.

• It provides exact numerical answers.

What does the variable 'X' represent in this problem?

• The total amount saved by both

• The amount Amy saved

• The amount Ben saved

• The difference between their savings

Which equation represents the total savings of Ben and Amy?

• x + y = 100

• x + y = 80

• x + y = 60

• x + y = 40

What is the second equation used in the problem?

• y = x - 20

• y = 2x

• y = x + 20

• y = 3x

What method is used to solve the system of equations in this problem?

• Elimination method

• Graphing method

• Substitution method

• Trial and error

After substituting y = 2x into the equation x + y = 60, what is the resulting equation?

• x + 2x = 60

• 3x + x = 60

• x + 3x = 60

• 2x + 2x = 60

What is the value of 'X' after solving the equation 3x = 60?

• 40

• 10

• 20

• 30

What is the final amount saved by Amy?

• $40

• $20

• $50

• $30