Standard Form Mixed Practice

Front

What is the equation representing the total sales of lemonade and orange drinks if lemonade is $2 per cup and orange drinks are $3 per cup, totaling $240?

Back

2x + 3y = 240

Front

What does the y-intercept represent in the graph of a burning candle's height over time?

Back

The original height of the candle.

Front

If you sold 60 cups of lemonade for $2 each, how many cups of orange drink did you sell if your total sales were $240?

Back

40 cups of orange drink.

Front

What is the x-intercept of the equation 2x - 5y = 15?

Back

(7.5, 0)

Front

Write an equation to represent the total cost if T-shirts are $15 each and hoodies are $20 each, and Jenny spent $150.

Back

15x + 20y = 150

Front

Define the term 'x-intercept' in the context of a linear equation.

Back

The x-intercept is the point where the graph of the equation crosses the x-axis, meaning y=0.

Front

What is the significance of the coefficients in a linear equation like 2x + 3y = 240?

Back

The coefficients represent the rate of change of each variable in relation to the total.

Front

How do you find the y-intercept of a linear equation?

Back

Set x = 0 and solve for y.

Front

What does it mean if a linear equation has no solution?

Back

It means the lines represented by the equations are parallel and never intersect.

Front

Explain how to interpret the slope of a line in a real-world context.

Back

The slope represents the rate of change between the two variables, indicating how one variable changes in relation to the other.