Algebra 1 · Chapter 1 · Lesson 1.4 · Printable PDF · Free

Identity and Inverse Elements Worksheet with Answer Key

7 problems on identity and inverse elements: reciprocals and additive inverses, fixing mistakes, rewriting division as multiplication, naming inverses in solving, and proving a basic fact about negatives. 2 pages, with a worked answer key and a one-page lesson handout. Free to download, no sign-in.

7 problems2 pagesanswer keylesson handout
Printable Identity and inverse elements worksheet with answer key - Algebra 1 (Page 1 PDF preview)
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What's on the worksheet

  1. Given a reciprocal, find the number, its additive inverse, and a sum.
  2. Fix Jack's way of finding the reciprocal of a mixed number.
  3. Test Owen's claim about an additive inverse, then find the correct one.
  4. Rewrite a chain of divisions as one product, then evaluate.
  5. Solve equations, naming the inverse used at each step.
  6. Decide if each statement holds for every real number, and give a counterexample if not.
  7. Explain why negative one times a equals negative a, giving the property for each step.

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Identity and inverse elements: the lesson ›