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Learn to determine whether a number is a solution of an equation .

Learn to determine whether a number is a solution of an equation. Vocabulary. equation solution. 3 + 2. 5. An equation is a mathematical statement that two expressions are equal. You can think of a correct equation as a balanced scale. 10 + 15. 12 + 15. 27. 27.

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Learn to determine whether a number is a solution of an equation .

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  1. Learn to determine whether a number is a solution of an equation.

  2. Vocabulary equation solution

  3. 3 + 2 5 An equation is a mathematical statement that two expressions are equal. You can think of a correct equation as a balanced scale.

  4. 10 + 15 12 + 15 27 27 Equations may contain variables. If a value for a variable makes an equation true, that value is a solution of the equation. s + 15 = 27 s = 12 s = 10 s = 12 is a solution because 12 + 15 = 27. s = 10 is not a solution because 10 + 15  27.

  5. Reading Math The symbol  means “is not equal to.”

  6. ? 1,650— 447 = 1,203 ? 1,203 = 1,203 1,203 1,203 Additional Example 1A: Determining Solutions of Equations Determine whether the given value of the variable is a solution. b — 447 = 1,203 for b = 1,650 b — 447 = 1,203 Substitute 1,650 for b. Subtract. Because 1,203 = 1,203, 1,650 is a solution to b — 447 = 1,203.

  7. ? 2754 = 1,485 ? 1,458 = 1,485 1,458 1,485 Additional Example 1B: Determining Solutions of Equations Determine whether the given value of the variable is a solution. 27x = 1,485 for x = 54 27x = 1,485 Substitute 54 for x. Multiply. Because 1,458  1,485, 54 is not a solution to 27x = 1,485.

  8. ? 73 + 56 = 139 ? 129 = 139 129 139 Check It Out: Example 1A Determine whether the given value of the variable is a solution. u + 56 = 139 for u = 73 u + 56 = 139 Substitute 73 for u. Add. Because 129  139, 73 is not a solution to u + 56 = 139.

  9. ? 45 15 = 3 ? 3 = 3 3 3 Check It Out: Example 1B Determine whether the given value of the variable is a solution. 45 g = 3 for g = 15 45 g = 3 Substitute 15 for g. Divide. Because 3 = 3, 15 is a solution to 45 g = 3.

  10. Reading Math An equation has an equal sign, but an expression does not. An equation can be solved, but an expression can only be evaluated or simplified.

  11. ? 36 19 = 664 ? 684 = 664 Additional Example 2 Paulo says that his yard is 19 yards long. Jamie says that Paulo’s yard is 664 inches long. Determine if these two measurements are equal. 36  yd = in. Substitute. Multiply. Because 684  664, 19 yards is not equal to 664 inches.

  12. ? 12  7= 84 ? 84 = 84 Check It Out: Example 2 Anna says that the table is 7 feet long. John says that the table is 84 inches long. Determine if these two measurements are equal. 12  ft = in. Substitute. Multiply. Because 84 = 84, 7 feet is equal to 84 inches.

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