Final Exam Review: Intermediate

Front

What is the cost equation for Clean Fast and See Out?

Back

Clean Fast: C = 2x + 15; See Out: C = 3x + 5

Front

When will the costs of Clean Fast and See Out be the same?

Back

Set the equations equal: 2x + 15 = 3x + 5

Front

What is the slope-intercept form of a line?

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 slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the slope of the line passing through points (3,5) and (0,4)?

Back

Slope (m) = (4 - 5) / (0 - 3) = 1/3

Front

What is the y-intercept of the line y = (1/3)x + 4?

Back

The y-intercept (b) is 4.

Front

For the inequality y < -3x + 4, where is the graph shaded?

Back

The graph is shaded below the line because the inequality is 'less than'.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line is decreasing as it moves from left to right.

Front

Identify the slope and y-intercept in the equation y = -2x - 6.

Back

Slope (m) = -2; y-intercept (b) = -6.

Front

What is the meaning of the term 'slope'?

Back

Slope is a measure of the steepness or incline of a line, represented as the ratio of the vertical change to the horizontal change.