Exploring Standard Form Word Problems

What is the general form of a standard form equation?

• ax - by = 0

• ax - by = c

• ax + by = 0

• ax + by = c

In a standard form equation, what do 'a' and 'b' typically represent?

• Constants

• Total values

• Unknown variables

• Rates or coefficients

In the example problem, what does the 'c' value represent?

• The total cost

• The cost of hamburgers

• The cost of hot dogs

• The number of items

If Sam ordered 2 hamburgers and 3 hot dogs, and the total bill was $19.50, what is the equation setup?

• 2x - 3y = 195

• 2x - 3y = 19.50

• 2x + 3y = 195

• 2x + 3y = 19.50

Given that the cost of a hamburger is $5.25, what is the next step to find the cost of a hot dog?

• Multiply the total by 5.25

• Divide the total by 5.25

• Substitute 5.25 for y in the equation

• Substitute 5.25 for x in the equation

What is the cost of each hot dog if the total cost is $19.50 and the cost of a hamburger is $5.25?

• $5.85

• $4.85

• $2.85

• $3.85

In the ticket sales problem, what do 'x' and 'y' represent?

• Number of advanced tickets and door tickets

• Total sales and total tickets

• Cost of advanced tickets and door tickets

• Number of tickets sold and total sales

If no tickets were sold in advance, what is the equation setup to find the number of door tickets sold?

• 4x + 5y = 440

• 5x - 4y = 440

• 5x + 4y = 440

• 4x - 5y = 440

How many door tickets were sold if no advanced tickets were sold and the total sales were $440?

• 88

• 98

• 118

• 108

What is the key takeaway from the standard form equation setup and solution process?

• The total value is not important

• Identify the quantities and their rates, then set up the equation

• Only one unknown variable is needed

• Always use subtraction in the equation