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6 th Grade Math: Chapter 2 LEARNING GOAL

6 th Grade Math: Chapter 2 LEARNING GOAL Students will understand variables, expressions, and equations by being able to do the following: Identify and Evaluate Expressions (2-1) Translate between Words and Math (2-2) Determine Whether a Number is a Solution of an Equation (2-3)

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6 th Grade Math: Chapter 2 LEARNING GOAL

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  1. 6th Grade Math: Chapter 2 LEARNING GOAL • Students will understand variables, expressions, and equations by being able to do the following: • Identify and Evaluate Expressions (2-1) • Translate between Words and Math (2-2) • Determine Whether a Number is a Solution of an Equation (2-3) • Solve Whole-Number Addition Equations (2-4) • Solve Whole-Number Subtraction Equations (2-5) • Solve Whole-Number Multiplication Equations (2-6) • Solve Whole-Number Division Equations (2-7)

  2. 2-3 Equations and Their Solutions Course 1 HW: Pg. 54 #8-23 ANSWERS

  3. 2-3 Equations and Their Solutions Course 1

  4. 2-3 Equations and Their Solutions Course 1 6th Grade Math HW Page 60 #8-20 all

  5. Course 1 2-3 Equations and Their Solutions Warm Up Problem of the Day Lesson Presentation Course 1

  6. 2-3 Equations and Their Solutions Course 1 Warm Up Evaluate each expression for x = 8. 1. 3x + 5 2.x + 8 3. 2x – 7 4. 8x  4 5. 7x– 1 6.x– 3 29 16 9 16 55 5

  7. 2-3 Equations and Their Solutions 9 2 10 8 7 6 4 12 Course 1 Solving Subtraction Equations Problem of the Day Complete the magic square so that every row, column, and diagonal add up to the same total. 5

  8. 2-3 Equations and Their Solutions Course 1 Today’s Learning Goal Learn to determine whether a number is a solution of an equation.

  9. 2-3 Equations and Their Solutions Course 1 Vocabulary equation solution

  10. 2-3 Equations and Their Solutions 3 + 2 5 Course 1 An equation is a mathematical statement that two quantities are equal. You can think of a correct equation as a balanced scale.

  11. 2-3 Equations and Their Solutions 10 + 15 27 12 + 15 27 Course 1 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.

  12. 2-3 Equations and Their Solutions ? 1,650— 447 = 1,203 ? 1,203 1,203 1,203 = 1,203 Course 1 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.

  13. 2-3 Equations and Their Solutions ? 2754 = 1,485 1,458 ? 1,485 1,458 = 1,485 Course 1 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.

  14. 2-3 Equations and Their Solutions ? 73 + 56 = 139 129 ? 139 129 = 139 Course 1 Try This: 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.

  15. 2-3 Equations and Their Solutions ? 45  15 = 3 ? 3 3 3 = 3 Course 1 Try This: 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.

  16. 2-3 Equations and Their Solutions ? 36  19 = 664 ? 684 = 664 Course 1 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. 36  y = 664 Substitute 19 for y Multiply. Because 684  664, 19 yards are not equal to 664 inches.

  17. 2-3 Equations and Their Solutions ? ? 84 = 84 12 7= 84 Course 1 Try This: 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. 12f = 84 Substitute 7 for f. Multiply. Because 84 = 84, 7 feet is equal to 84 inches.

  18. 2-3 Equations and Their Solutions Course 1 Lesson Quiz Determine whether the given value of the variable is a solution. 1. 85 = 13x for x = 5 2.w + 38 = 210 for w = 172 3. 8y = 88 for y = 11 4. 16 = w 6 for w = 98 no yes yes no 5. 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.) no

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