Algebra 1 1-5 Complete Lesson: Adding and Subtracting Real Numbers

By Matt Richardson
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Last updated about 2 years ago
30 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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1.
Solve It! How much money must you add to make the card worth $25?

Enter your response in this format: $37
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2.
Solve It! Explain your reasoning.
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Problem 1 Got It?
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Problem 2 Got It?
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Problem 2 Got It?
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Problem 2 Got It?
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Problem 2 Got It?
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Problem 3 Got It?
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Problem 3 Got It?
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Problem 4 Got It?
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Vocabulary: What is the sum of a number and its opposite?

Enter only a number.
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19.
Error Analysis: Your friend says that since -a is the opposite of a, the opposite of a number is always negative. Describe and correct the error.
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20.
Review Lesson 1-4: Indicate whether the expressions in each pair are equivalent.
  • Equivalent Expressions
  • NOT Equivalent Expressions
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Review Lesson 1-3: Categorize each number on the left into the subset(s) of of the real numbers to which it belongs.
  • Natural Numbers
  • Whole Numbers
  • Integers
  • Rational Numbers
  • Irrational Numbers
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Review Lesson 1-2: Match each expression on the left with its value for a = 2, h = 5, and w = 8.
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Vocabulary Review: Identify the expressions that do NOT show a difference.
  • 15 + 6
  • 14 - 3
  • 4 ⋅ 8
  • 48 ÷ 12
  • Do NOT Show a Difference
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Vocabulary Review: Identify the expression that shows a sum.
  • 15 + 6
  • 14 - 3
  • 4 ⋅ 8
  • 48 ÷ 12
  • Shows a Sum
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25.
Use Your Vocabulary: Write the additive inverse of the number.
Enter only a number.
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Use Your Vocabulary: Write the additive inverse of the number.
Enter only a number.
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27.
Use Your Vocabulary: Write the additive inverse of the number.
Enter only a number.
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Vocabulary Review: The absolute value of a number is its distance from 0 on a number line. The absolute value of -7, written as |-7|, is equal to 7 because -7 is 7 units away from 0 on a number line.

Drag symbols from the left to fill in the blank and compare each pair of numbers on the right.
  • <
  • >
  • =
  • |3| __?__ |-3|
  • |-3| __?__ 3
  • -3 __?__ |-3|
  • |3| __?__ -3
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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