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Algebra 1 2-2 Complete Lesson: Solving Two-Step Equations

By Matt Richardson
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Last updated about 2 years ago
33 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! The diagram shows the amount of money that each player starts with in a video game. To be fair, each player should have the same amount of money. If each chest contains the same amount of money, how much money must be in each chest? Enter only a number.
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Problem 1 Got It?
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Problem 2 Got It? Suppose you used one quarter of a sheet of paper for each ad and four full sheets for the title banner in Problem 2. How many ads could you make?
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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? Write the right side of the equation as the difference of two fractions.

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Problem 4 Got It?
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What property of equality would you use FIRST to solve the equation?

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What property of equality would you use FIRST to solve the equation?

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What property of equality would you use FIRST to solve the equation?

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What property of equality would you use FIRST to solve the equation?

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Reasoning: Can you solve the equation below by adding 3 before multiplying by 5?
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Review Lesson 2-1: Solve the equation. Check your answer.
Enter only a number.
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Review Lesson 2-1: Solve the equation. Check your answer.
Enter only a number.
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Review Lesson 2-1: Solve the equation. Check your answer.
Enter only a number.
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Review Lesson 2-1: Solve the equation. Check your answer.
Enter only a number.
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Review Lesson 1-7: Simplify the expression.
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Review Lesson 1-7: Simplify the expression.
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Review Lesson 1-7: Simplify the expression.
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Vocabulary Review: Classify the equation(s) in which the variable is isolated.
  • The variable is isolated
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Vocabulary Review: Match each equation on the left with its solution on the right.
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Use Your Vocabulary: Identify and categorize each statement on the left based on whether or not it is a logical deduction.
  • A multiple of 5 always ends in 0 or 5. So, 240 is a multiple of 5.
  • If a number is a whole number, it is also a rational number. So, all rational numbers must be whole numbers.
  • Consider a + b = 100 for values of a and b. When a increases, b decreases. So, when b increases, a decreases.
  • Logical deduction
  • NOT a logical deduction
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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