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Understanding One-Step Linear Equations and Their Solutions

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This mini lesson focuses on writing and solving one-step linear equations in one variable. An equation is a mathematical statement indicating that two quantities are equal, while a solution is a value for a variable that makes an equation true. Through various examples, students will learn to solve equations such as ( a + 23 = 82 ) and ( 60 ÷ c = 6 ), determining the values of the unknowns. This lesson will enhance their understanding of equations and strengthen their problem-solving skills.

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Understanding One-Step Linear Equations and Their Solutions

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  1. Equations and Their Solutions Mini Lessons

  2. Objectives: Write and solve one-step linear equations in one variable Vocabulary: • Equation: is a mathematical statement that two quantities are equal • Solution: a value for a variable makes an equation true,

  3. Determining Solutions of Equations • a + 23 = 82 for a =61 • a + 23 = 82 • 61 + 23 = 82 • 84 = 82 • 60 ÷ c = 6 for c = 10 • 60 ÷ 10 = 6 • 6 = 6

  4. Examples: • c + 23 = 48 for c = 35 • z + 31 = 73 for z =42 • 96 = 130 – d for d = 34 • 85 = 194 + a for a = 105 • 75 ÷ y = 5 for y = 15 • 78 ÷ n = 13 for n = 5 • w + 19 = 49 for w =30 • d + 27 = 81 for d = 44 • g + 34= -33 for g = 67 • 101 = 150 – h for h = 49

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