How to Create and Solve an Equation and an Inequality

This video tutorial addresses a four-part standardized math test question involving taxi fares. It covers creating equations and inequalities based on given scenarios. The tutorial guides students through calculating costs for taxi rides, formulating equations, solving for unknown distances, and writing inequalities. Each part is explained step-by-step, encouraging students to pause and solve the problems independently before reviewing the solutions.

What is the initial fee for a taxi ride according to the video?

• $3.00

• $2.40

• $2.60

• $2.50

What is the cost per mile for a taxi ride?

• $2.50

• $3.00

• $2.40

• $2.60

How much did Maya pay in total for her 2-mile taxi ride?

• $7.60

• $5.00

• $10.00

• $6.50

Which equation represents the cost of Colton's taxi ride?

• 2.6x + 2.5 = 10.6

• 2.5x + 2.6 = 9.6

• 2.6x + 2.5 = 9.6

• 2.5x + 2.6 = 10.6

How many miles did Colton travel in the taxi?

• 2.5 miles

• 2.8 miles

• 3.0 miles

• 2.0 miles

What is the inequality used to determine Ian's possible travel distances?

• 2.5x + 2.6 = 12

• 2.5x + 2.6 ≤ 12

• 2.5x + 2.6 > 12

• 2.5x + 2.6 < 12

What is the minimum distance Ian could have traveled if his ride cost more than $12?

• 3.76 miles

• 4.00 miles

• 3.50 miles

• 3.25 miles