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Understanding Literal Equations: Solving for Unknowns in Algebra

This lesson introduces students to literal equations, focusing on solving for unknowns using algebraic principles. We start with a challenge: find four consecutive numbers that sum to 138. Through various examples, we compare simple equations with multiple variables, emphasizing that literal equations differ from traditional equations by not having a numeric solution. We also review inverse operations—addition, subtraction, multiplication, and division. Students will practice solving literal equations and complete an exit ticket example featuring the equation 3x + y = 12.

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Understanding Literal Equations: Solving for Unknowns in Algebra

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Presentation Transcript

  1. Algebra 1: Literal Equations Day One

  2. Do Now: 1. Four consecutive numbers add to 138. What are the four numbers?

  3. Example One: • 2x= 10 vs. 2x= y

  4. Example Two: • X+3=5 vs. X+y=z

  5. Example Three • X-4= 12 vs. x-B=C

  6. Example Four: • x/3 = 4 vs. x/d=e

  7. Example Five: • 2x+5=13 vs. 2x+n=p

  8. Literal vs. Equations • Literal Equations will never have a number value as an answer. • Literal Equations will have multiple variables.

  9. Inverse Operations: • Addition • Subtraction  • Multiplication  • Division 

  10. Practice Problems! • Try some on your own or with your group members.

  11. Exit Ticket • Solve the literal equation for “x” • 1. 3x+y= 12

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