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Course Equations and Their Solutions Course Equations and Their Solutions Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day

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Course Equations and Their Solutions Warm Up Evaluate each expression for x = x x x – 74. 8x x – 16. x –

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Course Equations and Their Solutions Problem of the Day Complete the magic square so that every row, column, and diagonal add up to the same total

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Course Equations and Their Solutions Learn to determine whether a number is a solution of an equation.

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Course Equations and Their Solutions equation solution Vocabulary

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Course Equations and Their Solutions An equation is a mathematical statement that two quantities are equal. You can think of a correct equation as a balanced scale

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Course Equations and Their Solutions 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 = 12s = s = 12 is a solution because = 27. s = 10 is not a solution because 27.

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

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

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

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

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Course Equations and Their Solutions 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. Additional Example 2 Because 684 664, 19 yards are not equal to 664 inches. Substitute. 684 = 664 ? Multiply. 36 yd = in. 36 19 = 664 ?

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Course Equations and Their Solutions 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. Because 84 = 84, 7 feet is equal to 84 inches. Substitute. 84 = 84 ? 12 7 = 84 ? Check It Out: Example 2 12 ft = in. Multiply.

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Course Equations and Their Solutions Determine whether the given value of each variable is a solution = 13x for x = 5 2. w + 38 = 210 for w = y = 88 for y = = w 6 for w = 98 Lesson Quiz no 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.)

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