Lesson 3.3 Solve Multi-Step Equations Essential Question: How do you solve multi-step equations?

Before we start… The sum of the ages of two sisters is 25. The second sister’s age is 5 more than three times the first sister’s age n. Find the two ages.

Solving Multi-Step Equations Continue to use inverse operations to isolate the variable Combining like terms and distributive property will be used

How do I solve a multi-step equation? Use distributive property and/or combine like terms. Use inverse operations to remove the constant term. Use inverse operations to remove the coefficient.

Distributive Property or Reciprocal? With some problems, it’s easier to multiply both sides of the equation by the reciprocal first. Problems with fractional coefficients are best for this.

Basketball A ticket agency sells tickets to a professional basketball game. The agency charges $32.50 for each ticket, a convenience charge of $3.30 for each ticket, and a processing fee of $5.90 for the entire order. The total charge for an order is $220.70. How many tickets were purchased?

Bird Migration A flock of cranes migrates from Canada to Texas Bird Migration A flock of cranes migrates from Canada to Texas. The cranes take 14 days (336 hours) to travel 2500 miles. The cranes fly at an average speed of 25 miles per hour. How many hours of the migration are the cranes not flying?

Canoeing Edmund and Roberto took a 7-day (168 hours), 90-mile canoe trip down the Allagash River. If they paddled at an average rate of 2.5 miles per hour, how many hours did they spend not paddling?

Swimming Amanda swims at an average rate of 72 meters per minute Swimming Amanda swims at an average rate of 72 meters per minute. It takes her 36 minutes to finish 1800 meters with breaks. How many minutes of breaks did she take?

Lifeguard Training To qualify for a lifeguard training course, you have to swim continuously for 500 yards using either the front crawl or the breaststroke. You swim the front crawl at a rate of 45 yards per minute and the breaststroke at a rate of 35 yards per minute. You take 12 minutes to swim 500 yards. How much time did you spend swimming the front crawl?

How do you solve multi-step equations?

Ticket Out the Door Solve