Solving Equations and Competitor Analysis

David Lemons discusses solving equations with variables on both sides, focusing on a real-world problem involving an engineering contest. The lesson covers setting up and solving equations to determine the number of competitors needed for two contests to have the same cost. The process involves writing equations, solving them using mathematical properties, and interpreting the results.

What is the main focus of lesson two?

• Solving equations with variables on both sides

• Studying probability

• Understanding fractions

• Learning about geometry

What is the learning target for the lesson?

• To solve quadratic equations

• To learn about trigonometric functions

• To write and solve an equation to model a real-world situation

• To understand the Pythagorean theorem

What is the purpose of the engineering contest?

• To gain engineering experience

• To raise money for a field trip

• To win a prize

• To compete with other schools

Which two contests are being considered?

• Bridge building and tower building

• Strawbridge contest and card tower contest

• Science fair and math competition

• Robotics and coding contest

What is the cost per competitor for the Strawbridge contest?

• $4.25

• $5.50

• $6.00

• $3.75

What is the fixed cost for the card tower contest?

• $50.00

• $70.00

• $60.60

• $64.60

What is the first step in solving the equation?

• Multiply each side by 100

• Add both sides

• Subtract both sides

• Divide each side by 10

Why do we multiply each side by 100?

• To make the equation more complex

• To simplify the equation

• To eliminate decimals

• To make the numbers larger

What is the next step after multiplying by 100?

• Add the variables

• Add a constant

• Subtract the smaller variable term

• Divide by 2

What is the final solution for the number of competitors?

• 20

• 22

• 24

• 26