(EXIT TICKET) Standard Form Word Problems

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you convert a word problem into a standard form equation?

Back

Identify the quantities involved, assign variables, and translate the relationships and totals into an equation in the form Ax + By = C.

Front

What does the variable 'x' typically represent in a standard form equation?

Back

In a standard form equation, 'x' usually represents the quantity of the first item or variable being considered.

Front

What does the variable 'y' typically represent in a standard form equation?

Back

In a standard form equation, 'y' usually represents the quantity of the second item or variable being considered.

Front

If Jimmy buys x movies and y bags of candy for a total of $72, how would you express this in an equation?

Back

The equation would be 15x + 3y = 72.

Front

What is the first step in solving a standard form equation?

Back

The first step is to isolate one of the variables, typically by moving terms to one side of the equation.

Front

How do you find the value of C in the equation 7x + 2y = C when x = 5 and y = 10?

Back

Substitute x and y into the equation: C = 7(5) + 2(10) = 35 + 20 = 55.

Front

If you want to spend $20 on ice cream at $2.50 per scoop and puppy chow at $4 per bag, how would you set up the equation?

Back

The equation would be 2.5x + 4y = 20, where x is the number of ice cream scoops and y is the number of puppy chow bags.

Front

What does it mean if an equation is in standard form?

Back

It means the equation is written as Ax + By = C, which allows for easy identification of intercepts and is useful for graphing.

Front

How can you determine how many scoops of ice cream you can buy if you know the amount spent on puppy chow?

Back

Subtract the total spent on puppy chow from the total budget, then divide by the cost per scoop of ice cream.