Illustrative Math Grade 8 Unit 3 Review

Front

What is the total pay for an emergency room nurse who works a 12-hour shift at $8 per hour with a $50 sign-on bonus?

Back

Total pay = (Hourly rate * Hours worked) + Sign-on bonus = (8 * 12) + 50 = $146.

Front

How do you determine if a point lies on the line represented by the equation 3x + 5y = 45?

Back

Substitute the x and y values of the point into the equation. If the equation holds true, the point lies on the line.

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 calculate the rate of change from a table of values?

Back

Rate of change = (Change in y) / (Change in x). It represents how much y changes for a unit change in x.

Front

What does a graph showing a steady increase in temperature over time indicate?

Back

It indicates that the temperature is consistently rising, suggesting a positive rate of change.

Front

What is a sign-on bonus?

Back

A sign-on bonus is a financial incentive given to new employees as a reward for accepting a job offer.

Front

What does the term 'slope' refer to in a linear equation?

Back

The slope refers to the steepness of the line, indicating how much y changes for a unit change in x.

Front

How can you convert a standard form equation to slope-intercept form?

Back

To convert Ax + By = C to slope-intercept form, solve for y: y = (-A/B)x + (C/B).

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, representing the value of y when x = 0.

Front

What does it mean for a line to have a positive slope?

Back

A positive slope means that as x increases, y also increases, indicating a direct relationship between the two variables.