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Solving One-Step Equations

Solving One-Step Equations. Definitions. Term : a number, variable or the product or quotient of a number and a variable. X 2w c 3. Terms are separated by addition (+) or subtraction (-) signs.

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Solving One-Step Equations

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  1. Solving One-Step Equations Created by S. Koch - 2003

  2. Definitions • Term: a number, variable or the product or quotient of a number and a variable. • X 2w c • 3 Created by S. Koch - 2003

  3. Terms are separated by addition (+) or subtraction (-) signs. • 3a – 2/5b + 7x – 4z + 52 How many Terms do you see? 5 Created by S. Koch - 2003

  4. Definitions • Constant: a term that is a number. • Coefficient: the number value in front of a variable in a term. Created by S. Koch - 2003

  5. 3x – 6y + 18 = 0 What are your coefficients? What is your constant? 3 , -6 18 Created by S. Koch - 2003

  6. Solving one-step equations: • A one-step equation means you only have to perform 1 mathematical operation to solve it. • You can add, subtract, multiply or divideto solve a one-step equation. Created by S. Koch - 2003

  7. Example 1 • Solving an addition equation: t + 7 = 21 Get rid of the 7 by adding its opposite to both sides of the equation. t + 7 = 21 -7 -7 t = 14 Created by S. Koch - 2003

  8. Example 2 • Solving a subtraction equation: g – 6 = 40 Get rid of the 6 by adding its opposite to both sides of the equation. g – 6 = 40 +6 +6 g = 46 Created by S. Koch - 2003

  9. Example 3 • Solving a multiplication equation: 8n = 32 Get rid of the 8 by dividing both sides of the equation by 8. Here we “undo” multiplication by doing the opposite – division. 8n = 32 8 8 n = 4 Created by S. Koch - 2003

  10. Example 4 • Solving a division equation: k / 9 = 11 Get rid of the 9 by multiplying both sides of the equation by 9. Here we “undo” division by doing the opposite – multiplication. k / 9 = 11 x 9 x 9 k = 99 Created by S. Koch - 2003

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