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Mastering Equation Solutions: Addition & Subtraction Techniques

In this lesson, learn the foundational skills for solving equations using the Subtraction and Addition Properties of Equality. Understand key vocabulary terms such as Inverse Operations and Equivalent Expressions, and follow structured steps to isolate variables. Explore various examples, including practical applications like solving box office earners for movies. With guided practice and targeted homework assignments, you'll enhance your problem-solving strategies while gaining confidence in your math skills.

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Mastering Equation Solutions: Addition & Subtraction Techniques

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  1. Lesson 3-3 Pages 110-114 Solving Equations by Adding or Subtracting Lesson Check 3-2

  2. What you will learn! • How to solve equations by using the Subtraction Property of Equality. • How to solve equations by using the Addition Property of Equality.

  3. Vocabulary

  4. What you really need to know! Inverse Operations: Operations that “undo” each other. Equivalent Expressions: Expressions that have the same value.

  5. What you really need to know! Step 1 Identify the variable. Step 2 To isolate the variable, add the same number to or subtract the same number from each side of the equation. Step 3 Check the solution.

  6. What you really need to know! Step 1 Identify the variable. Step 2 “Undo” the operation! Step 3 Check the solution. Balance!

  7. Example 1: Solve - 4 - 4 x + 4 = -3 x + 0 = -7 x = -7

  8. Example 2: Solve and graph solution. - 8 - 8 x + 8 = 7 x + 0 = -1 x = -1 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

  9. Example 3: Solve + 3 + 3 y – 3 = -14 y + 0 = -11 y = -11

  10. Example 3: Movie A earned $225 million at the box office. That is $38 million less than Movie B earned. Write and solve an equation to find the amount Movie B earned. B – 38 = 225

  11. Example 4: Solve + 38 + 38 B - 38 = 225 B + 0 = 263 B = 263 Movie B earned $263 million at the box office.

  12. Example 5: Multiple-Choice What value of x makes x – 1 = 8 a true statement? A 9 B 7 C -7 D -9

  13. Page 113 Guided Practice #’s 3-11

  14. Read: Pages 110-112 with someone at home and study examples!

  15. Homework: Pages 113-114 #’s 12-44 even #’s 50-61 Lesson Check 3-3

  16. Page 729 Lesson 3-3

  17. Lesson Check 3-3

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