Holt CA Course 1 1-7 Equations and Their Solutions Preparation for AF1.1 Write and solve one-step linear equations in one variable. California Standards.

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Holt CA Course Equations and Their Solutions Preparation for AF1.1 Write and solve one-step linear equations in one variable. California Standards

Holt CA Course Equations and Their Solutions VOCABULARY CARDS Equation Solution

Holt CA 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

Holt CA Course Equations and Their Solutions Determine whether the given value of the variable is a solution. Teacher Example 1: 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.

Holt CA 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 ? Student Practice 1: Add.

Holt CA Course Equations and Their Solutions Determine whether the given value of the variable is a solution. Teacher Example 2: 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.

Holt CA 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 ? Student Practice 2: 3 3 Divide.

Holt CA Course Equations and Their Solutions 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. Teacher Example 3: Measurement Application Because 684  664, 19 yards are not equal to 664 inches. Substitute. 684 = 664 ? Multiply. 36  yd = in. 36  19 = 664 ?

Holt CA 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 ? Student Practice 3: 12  ft = in. Multiply.

Holt CA Course Equations and Their Solutions = w  6 for w = 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.) Warm-Up