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Preparation for AF1.1 Write and solve one-step linear equations in one variable.

California Standards. Preparation for AF1.1 Write and solve one-step linear equations in one variable. VOCABULARY CARDS. Equation Solution. 3 + 2. 5.

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Preparation for AF1.1 Write and solve one-step linear equations in one variable.

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  1. California Standards Preparation for AF1.1 Write and solve one-step linear equations in one variable.

  2. VOCABULARY CARDS • Equation • Solution

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

  4. ? 1,650– 447 = 1,203 ? 1,203 1,203 1,203 = 1,203 Teacher Example 1: 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.

  5. ? 73 + 56 = 139 129 ? 139 129 = 139 Student Practice 1: 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.

  6. ? 2754 = 1,485 1,458 ? 1,485 1,458 = 1,485 Teacher Example 2: 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.

  7. ? 45  15 = 3 ? 3 3 3 = 3 Student Practice 2: 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.

  8. ? 36  19 = 664 ? 684 = 664 Teacher Example 3: Measurement Application Paulo says that the park is 19 yards long. Jamie says that the park is 664 inches long. Determine if these two measurements are equal. 36  yd = in. Substitute. Multiply. Because 684  664, 19 yards are not equal to 664 inches.

  9. ? ? 84 = 84 12 7= 84 Student Practice 3: 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.

  10. 1.7 Warm-Up 1. 2. 16 = w 6 for w = 98 3. The local pizza shop charged Kylee $172 for 21 medium pizzas. The price of a medium pizza is $8. Determine if Kylee paid the correct amount of money. (Hint: $8 •pizzas = total cost.)

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