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Algebra 1 2-3 Complete Lesson: Solving Multi-Step Equations

By Matt Richardson
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Last updated about 2 years ago
29 Questions
Note from the author:
A complete formative lesson with embedded slideshow, mini-lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.
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Solve It! You are buying movie tickets online for a group of your friends. You have to enter the number of tickets you want on the screen shown. You are using a debit card to pay for the tickets and have a total of $45 to spend. How many tickets can you buy? Enter only a number.
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Problem 1 Got It?
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Problem 1 Got It?
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Problem 2 Got It? Noah and Kate are shopping for new guitar stings in a music store. Noah buys 2 packs of strings. Kate buys 2 packs of strings and a music book. The book costs $16. Their total cost is $72. How much is one pack of strings?
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Problem 3 Got It? What is the solution? Check your answer.
Enter only a number.
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Problem 3 Got It? You probably used the Distributive Property to solve the equation in the item above. Could you have used the Division Property of Equality instead? In other words, could you have divided both sides of the equation by the same value to start to isolate the variable?
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Problem 4 Got It? Show all of your work as you solve the equation.
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Problem 5 Got It?
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Explain: How would you solve the equation? Place the steps below in the correct order.
  1. Divide each side of the equation by 0.5.
  2. Subtract 1.3 from both sides of the equation.
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Explain: How would you solve the equation? Place the steps below in the correct order.
  1. Add 4 to each side of the equation.
  2. Divide each side of the equation by 3.
  3. Divide each side of the equation by 7.
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Explain: How would you solve the equation? Place the steps below in the correct order.
  1. Multiply each side of the equation by -9/2. (This is equivalent to dividing each side of the equation by -2/9.)
  2. Add 4 to each side of the equation.
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Review Lesson 2-2: Solve the equation.
Enter only a number.
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Review Lesson 2-2: Solve the equation.
Enter only a number.
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Review Lesson 1-4: Name the property that the statement illustrates.
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Review Lesson 1-7: Simplify the expression.
Enter only an expression in simplest form.
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Review Lesson 1-7: Simplify the expression.
Enter only an expression in simplest form.
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Vocabulary Review: Drag and drop items from the left to identify the variable or variables in each equation on the right.
  • 11
  • +
  • x
  • 19
  • =
  • -
  • t
  • 14
  • 2
  • b
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Use Your Vocabulary: Categorize each equation on the left based on its number of terms.
  • 2 terms
  • 3 terms
  • 4 terms
  • 5 terms
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Use Your Vocabulary: Identify the expression(s) on the left that it contain like terms.
  • Contain like terms
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True or False: Expressions with only numbers (and at least one operation) always contain like terms.
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True or False: The expressions xy and yx are like terms.
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Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.
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Reflection: Math Success
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