POP FLASHCARD- Standard form word problems, parallel, perpendicular

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 find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the relationship between parallel lines?

Back

Parallel lines have the same slope but different y-intercepts.

Front

What is the relationship between perpendicular lines?

Back

Perpendicular lines have slopes that are negative reciprocals of each other.

Front

If a line has a slope of 2, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to it would be -1/2.

Front

Write the equation representing the total cost of hats and gloves if hats are $10 each and gloves are $5 each, and the total is $30.

Back

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

Front

If Jackson buys 3 pounds of oranges at $4 per pound, how much money does he spend?

Back

He spends 3 * 4 = $12 on oranges.

Front

How many pounds of bananas can Jackson buy with $16 left after buying 3 pounds of oranges?

Back

He can buy 16 / 2 = 8 pounds of bananas.

Front

What equation represents the total revenue from selling small and large t-shirts for $708?

Back

12x + 14y = 708, where x is the number of small t-shirts and y is the number of large t-shirts.