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 represent a word problem as an equation?

Back

Identify the variables, determine the relationships between them, and translate the words into a mathematical equation.

Front

If hats cost $10 each and gloves cost $5 each, how would you write the equation for a total of $30?

Back

10x + 5y = 30, where x is the number of hats and y is the number of gloves.

Front

What does the variable 'x' typically represent in a word problem involving purchases?

Back

The variable 'x' usually represents the quantity of one type of item being purchased.

Front

In the equation 2x + 6y = 28, what do 'x' and 'y' represent?

Back

In this equation, 'x' represents the number of bags of apples and 'y' represents the number of bags of oranges.

Front

How do you determine how many items you can buy with a fixed budget?

Back

Set up an equation based on the cost of items and solve for the variable representing the quantity of items.

Front

What is the equation for James's spending on comic books and action figures?

Back

The equation is 7x + 4y = 28, where x is the number of comic books and y is the number of action figures.

Front

If Mia, Aria, and Noah have a budget of $17.50 for sodas and chips, what is the equation representing their spending?

Back

The equation is 2x + 1.50y = 17.50, where x is the number of sodas and y is the number of chips.

Front

What is the goal of the charity event organized by Avery, Mia, and Luna?

Back

The goal is to raise $100 from selling tickets.

Front

How do you write an equation for the total revenue from selling two types of tickets?

Back

The equation is 2x + 4y = 100, where x is the number of $2 tickets and y is the number of $4 tickets.