Mid-Term Review part A

Front

What is the formula to calculate the total cost when a flat rate and hourly charge are involved?

Back

Total Cost = Flat Rate + (Hourly Charge × Number of Hours)

Front

If a painter charges a flat rate of $40 and $28 per hour, how do you set up an equation to find the number of hours worked if the total bill is $152?

Back

40 + 28h = 152, where h is the number of hours.

Front

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

Back

The slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine the slope of a line from two points?

Back

Slope (m) = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What does the slope of a line indicate?

Back

The slope indicates the steepness and direction of the line; a positive slope rises, while a negative slope falls.

Front

What is point-slope form of a linear equation?

Back

Point-slope form is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

How do you convert point-slope form to slope-intercept form?

Back

Rearrange the equation to solve for y: y = mx + (y1 - mx1).

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

How do you solve for a variable in an equation?

Back

Isolate the variable on one side of the equation using inverse operations.

Front

What is the equation for B in terms of A and C if B = 9C - A?

Back

B = 9C - A is already solved for B.