Algebra I Lesson 5.8 Honors

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

How can you determine if two lines are neither parallel nor perpendicular?

Back

If the slopes of the two lines are different and their product is not -1, they are neither parallel nor perpendicular.

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 convert the standard form of a linear equation to slope-intercept form?

Back

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

Front

What is the formula to find the rate of work done when two people are working together?

Back

The combined work rate is the sum of their individual work rates. If person A can complete a task in t_A time and person B in t_B time, their combined rate is 1/t_A + 1/t_B.

Front

How do you calculate the time taken to complete a task when working together?

Back

To find the time taken to complete a task together, use the formula: Time = 1 / (1/t_A + 1/t_B), where t_A and t_B are the times taken by each person individually.

Front

What is a weighted average?

Back

A weighted average is an average that takes into account the varying degrees of importance of the numbers in a data set.

Front

How do you set up an equation to solve for the amount of each component in a mixture?

Back

Set up an equation based on the total amount and the concentration of each component, ensuring the total amount of the mixture equals the sum of the individual components.

Front

What is the formula for finding the percentage concentration of a solution?

Back

Percentage concentration is calculated as (mass of solute / total mass of solution) x 100%.