Standard Form Word Problems

Front

What is the equation for a situation where small bags of apples are $2 each and large bags of oranges are $6 each, with a total spend of $28?

Back

2x + 6y = 28

Front

What is the equation for a situation where Noah earns 5 points for each jewel and 2 points for each star, totaling 250 points?

Back

5x + 2y = 250

Front

What is the Standard Form of a line?

Back

Ax + By = C

Front

What is the equation for a situation where hats are $10 each and gloves are $5 each, with a total bill of $30?

Back

10x + 5y = 30

Front

What is the equation for a situation where Dalyn sold 7 boxes of thin mints and 12 boxes of tagalongs, making $82?

Back

7x + 12y = 82

Front

Define 'Standard Form' in the context of linear equations.

Back

Standard Form is a way of writing linear equations in the form Ax + By = C, where A, B, and C are integers.

Front

What does 'x' represent in the equation 2x + 6y = 28?

Back

'x' represents the number of bags of apples.

Front

What does 'y' represent in the equation 5x + 2y = 250?

Back

'y' represents the number of stars collected by Noah.

Front

How do you convert the equation 5x + 2y = 250 into slope-intercept form?

Back

y = -2.5x + 125.

Front

What is the total cost if Zoe buys 2 hats and 4 gloves based on the equation 10x + 5y = 30?

Back

Total cost = $10(2) + $5(4) = $20 + $20 = $40.