Illustrative Math Grade 8 Unit 3 Review

Front

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

Back

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

Front

How do you determine the slope from a graph?

Back

The slope can be determined by finding the rise over run between two points on the line. It is calculated as (change in y) / (change in x).

Front

What does a positive slope indicate about a line on a graph?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, showing a direct relationship.

Front

What does a negative slope indicate about a line on a graph?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, showing an inverse relationship.

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 is 0.

Front

How can you write a linear equation from a word problem involving a fixed cost and a variable cost?

Back

Identify the fixed cost as the y-intercept and the variable cost per unit as the slope. The equation will be in the form y = mx + b.

Front

What is the formula to calculate the total cost from a fixed charge and a variable hourly rate?

Back

Total Cost = Fixed Charge + (Hourly Rate * Number of Hours).

Front

How do you interpret the meaning of a linear equation in a real-world context?

Back

A linear equation can represent relationships between quantities, such as cost over time, temperature changes, or distance traveled.

Front

What is the role of the sign-on bonus in a linear pay equation?

Back

The sign-on bonus is the fixed amount added to the total earnings, represented as the y-intercept in the equation.

Front

How do you find the total earnings of a worker given their hourly wage and hours worked?

Back

Total Earnings = (Hourly Wage * Hours Worked) + Sign-on Bonus.