Mid-Term Review part A

Front

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

Back

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

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; it indicates how steep the line is.

Front

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

Back

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

Front

How do you convert a linear equation from standard form to slope-intercept form?

Back

Rearrange the equation Ax + By = C to solve for y in terms of x, resulting in y = mx + b.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

How do you solve a linear inequality?

Back

To solve a linear inequality, isolate the variable on one side of the inequality sign, similar to solving an equation.

Front

What is the meaning of the solution set in inequalities?

Back

The solution set is the set of all values that satisfy the inequality.

Front

What is a flat rate in a pricing model?

Back

A flat rate is a fixed charge for a service, regardless of the amount of time or resources used.

Front

How do you calculate total cost with a flat rate and variable charges?

Back

Total cost = flat rate + (variable charge per unit * number of units).