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Algebra 1 1-1 Complete Lesson: Variables and Expressions

By Matt Richardson
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Last updated about 2 years ago
35 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! Consider the population of Florida, the area of Colorado, and the flight time from Philadelphia to San Francisco. Drag the tags below to identify whether each represents a quantity that varies.
  • Varies
  • Does NOT Vary
  • Population of Florida
  • Area of Colorado
  • Flight time from Philadelphia to San Francisco
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Problem 1 Got it? What is an algebraic expression for 18 more than a number n?
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Problem 2 Got it? What is an algebraic expression for 6 times a number n?

Enter only the expression, in simplest form.
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Problem 2 Got it? What is an algebraic expression for the quotient of 18 and a number n?

Enter only the expression, in simplest form.
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Problem 2 Got it? Reasoning: Do the phrases 6 less a number y and 6 less than a number y mean the same thing? Explain.
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Problem 3 Got it? What is an algebraic expression for 8 less than the product of a number x and 4?
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Problem 3 Got it? What is an algebraic expression for twice the sum of a number x and 8?
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Problem 3 Got it? What is an algebraic expression for the quotient of 5 and the sum of 12 and a number x?
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Problem 4 Got it? What word phrase can you use to represent the algebraic expression x + 8?
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Problem 4 Got it? What word phrase can you use to represent the algebraic expression 10x + 9?
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Problem 4 Got it? What word phrase can you use to represent the algebraic expression?
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Problem 4 Got it? What word phrase can you use to represent the algebraic expression 5x - 1?
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Problem 5 Got it? Suppose you draw a segment from any one vertex of a regular polygon to the other vertices. A sample for a regular hexagon is shown.

Use the table to find a pattern.
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Reasoning: Use the table to decide whether 49n + 0.75 or 49 + 0.75n represents the total cost to rent a truck that you drive n miles.
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27.
Find the sum. Write your answer in simplest form.
If necessary, use this for for fractions: 7/5
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28.
Find the difference. Write your answer in simplest form.
If necessary, use this for for fractions: 7/5
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29.
Find the greatest common factor (GCF) of the pair of numbers.
Enter only a number.
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30.
Find the greatest common factor (GCF) of the pair of numbers.
Enter only a number.
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31.
Find the greatest common factor (GCF) of the pair of numbers.
Enter only a number.
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32.
Find the greatest common factor (GCF) of the pair of numbers.
Enter only a number.
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Additional Vocabulary Support: Match TWO words or word phrases from the left to represent EACH operation on the right.
  • difference
  • divided by
  • less
  • more than
  • product
  • quotient
  • sum
  • times
  • Addition
  • Subtraction
  • Multiplication
  • Division
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34.
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

Respond to the items on the canvas to express your understanding.