8th Math Semester 1 Final

Front

What is the linear equation for the total cost of downloading songs from eTunes?

Back

y = 0.95x + 7.95, where y is the total cost and x is the number of songs downloaded.

Front

What does the equation y = -25x + 120 represent in a real-world context?

Back

It represents a tank with 120 gallons of water that releases water at a rate of 25 gallons per minute.

Front

How do you solve the equation ax + c = R for x?

Back

x = (R - c) / a.

Front

What type of solutions can the equation 2x + 4 = 2x + 4 have?

Back

Infinite solutions, because both sides are identical.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent in a real-world scenario?

Back

The slope represents the rate of change between two variables.

Front

What is the y-intercept in the equation y = 3x + 5?

Back

The y-intercept is 5, which is the value of y when x = 0.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

What is the meaning of a negative slope in a linear equation?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

What is the formula for finding the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).