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

By Matt Richardson
Last updated almost 3 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.

Solve It! How much money must you add to make the card worth $25?

Enter your response in this format: $37

Solve It! Explain your reasoning.

Problem 1 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 4 Got It?

Vocabulary: What is the sum of a number and its opposite?

Enter only a number.

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.

Review Lesson 1-4: Indicate whether the expressions in each pair are equivalent.

  • Equivalent Expressions
  • NOT Equivalent Expressions

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

Review Lesson 1-2: Match each expression on the left with its value for a = 2, h = 5, and w = 8.

Vocabulary Review: Identify the expressions that do NOT show a difference.

  • 15 + 6
  • 14 - 3
  • 4 ⋅ 8
  • 48 ÷ 12
  • Do NOT Show a Difference

Vocabulary Review: Identify the expression that shows a sum.

  • 15 + 6
  • 14 - 3
  • 4 ⋅ 8
  • 48 ÷ 12
  • Shows a Sum

Use Your Vocabulary: Write the additive inverse of the number.
Enter only a number.

Use Your Vocabulary: Write the additive inverse of the number.
Enter only a number.

Use Your Vocabulary: Write the additive inverse of the number.
Enter only a number.

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

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.

Reflection: Math Success