How can you use multi-step equations to solve real-life problems? Part 1: Write and solve an equation to find the value of x. Hint: think about the structure of the equation you used last class to solve for x in these problems! Part 2: Explain how you could check your solution once you have solved for x. (2x + 30)° (2x + 30) + (2x + 20) + x + 50 = 360 5x + 100 = 360 50° (2x + 20)° 5x+ 100 – 100 = 360 - 100 x° 5x = 260 x = 52

1.2 Solving Multi-Step Equations

Solving Multi-Step Linear Equations Simplify each side of the equations first Distribute, if needed Combine like terms, if needed 2) Use inverse operations to isolate the variable

Combine like terms on the left! Examples Simplify first!! Combine like terms on the left! Solve: 2) Solve: 1

You try! 1.) 2.)

Another Example! 3.)

You try! 3.)

Solving Real Life Problems Day Miles Mon 3.5 Tues 5.5 Wed Thu 5 Fri x Use the table to find the number of miles x you need to bike on Friday so that the mean number of miles bike per day is 5. What is mean? How do you find the mean?

You try! Your schools drama club charges $4 per person for admission to a play. The club borrowed $400 to pay for costumes and props. After paying back the loan, the club has a profit of $100. How many people attended the play? amt per person · (the number of people that attend) – loan = profit 4 · x - 400 = 100 4x – 400 = 100 4x – 400 + 400 = 100 + 400 4x = 500 x=125 people