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

Warm Up Evaluate each expression for x = x x x – x  x – 1 6. x – 3 Course Equations and Their Solutions 55 5

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

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

equation solution Course Equations and Their Solutions Vocabulary

An equation is a mathematical statement that two quantities are equal. You can think of a correct equation as a balanced scale. 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. Course Equations and Their Solutions s + 15 = 27 s = 12s = s = 12 is a solution because = 27. s = 10 is not a solution because  27.

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. Course Equations and Their Solutions b — 447 = 1,203 Substitute 1,650 for b. 1,203 = 1,203 ? 1,650 — 447 = 1,203 ? 1,203 Subtract.

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 = 1,485. Course Equations and Their Solutions 27x = 1,485 Substitute 54 for x. 1,458 = 1,485 ? 27  54 = 1,485 ? 1,458 1,485 Multiply.

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. Course Equations and Their Solutions u + 56 = 139 Substitute 73 for u. 129 = 139 ? = 139 ? Try This: Example 1A Add.

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 = 3. Course Equations and Their Solutions 45  g = 3 Substitute 15 for g. 3 = 3 ? 45  15 = 3 ? Try This: Example 1B 3 3 Divide.

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. Course Equations and Their Solutions Substitute 19 for y 684 = 664 ? Multiply. 36  yd = in. 36  19 = 664 ? 36  y = 664

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. Course Equations and Their Solutions 12f = 84 Substitute 7 for f. 84 = 84 ? 12  7 = 84 ? Try This: Example 2 12  ft. = in. Multiply.

Determine whether the given value of the 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.) Course Equations and Their Solutions