Final Review

Front

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

Back

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

Front

How do you find the equation of a line given a point and a slope?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

How do you convert scientific notation to standard form?

Back

Multiply the coefficient by 10 raised to the power of the exponent to get the standard form.

Front

What is the equation for a situation with a fixed cost and a variable cost?

Back

The equation is y = fixed cost + (variable cost per unit)x.

Front

How do you write an equation for a rental situation?

Back

Identify the fixed cost (rental fee) and the variable cost (cost per hour), then use the equation y = variable cost * x + fixed cost.

Front

What is the standard form of a number?

Back

Standard form is the usual way of writing numbers without exponents, e.g., 8,317,000 instead of 8.317 x 10^6.

Front

How do you determine the total cost in a rental scenario?

Back

Total cost = fixed cost + (cost per hour * number of hours rented).

Front

What is the difference between fixed costs and variable costs?

Back

Fixed costs do not change with the level of output, while variable costs change with the level of output.