Linear Equations and Graphs

This video tutorial reviews linear functions and systems of equations, focusing on solving them graphically and algebraically. It includes four examples: comparing savings rates, determining meeting points of cars, comparing savings over time, and comparing costs of flooring companies. Each example uses linear equations to illustrate the concepts.

What is the general form of a linear equation?

• y = a/x + b

• y = ax^2 + bx + c

• y = ax^3 + bx^2 + cx + d

• y = mx + b

How many equations are typically involved in a system of linear equations?

• None

• One

• At least two

• At least three

In the example of Andy and Bella, what is the slope of Andy's savings graph?

• 3 dollars per day

• 4 dollars per day

• 5 dollars per day

• 2 dollars per day

Who saves faster according to the example problem, Andy or Bella?

• Andy

• Bella

• Both save at the same rate

• Neither saves

In the Chevy and Ford example, how far from San Francisco do they meet?

• 200 miles

• 180 miles

• 150 miles

• 120 miles

After how many hours do the Chevy and Ford meet?

• 2 hours

• 3 hours

• 5 hours

• 4 hours

In the Josie and Carl example, who has more savings after 20 days?

• Josie

• Carl

• Both have the same amount

• Neither saves

What is the slope of Josie's savings graph?

• 4 dollars per day

• 2.5 dollars per day

• 3 dollars per day

• 5 dollars per day

At what floor size do Triple A and Billy Bob's flooring companies charge the same amount?

• 350 square feet

• 300 square feet

• 250 square feet

• 200 square feet

Which flooring company offers a better deal for floors larger than 300 square feet?

• Both charge the same

• Billy Bob's

• Neither offers a deal

• Triple A