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Do Now Solve the following expressions: 1) 2n, n=5 2) 7m - 3, m=3 3) 8d + 21, d=6 4) 5h, h=6 5) 9y + 41, y=5 6) 6f + 6, f=2 7) e/8 + e, e=72 8) 8m + 22, m=7 Do Now Solve the following expressions: 1) 2n, n=5 10 2) 7m - 3, m=3 18 3) 8d + 21, d=6 69 4) 5h, h=6 30 5) 9y + 41, y=5 86 6) 6f + 6, f=2 18 7) e/8 + e, e=72 81 8) 8m + 22, m=7 78 Solving One-Step Equations ◊ Ex. 4 + m = 16 ◊ We will be trying to find the value of the variable….in other words, solve for the variable! ◊ To find the value of the variable, we will want to get the variable by itself (“One is the loneliest number that there will ever be…”) ◊ Then, we will take the inverse of the equation Solving One-Step Equations ◊ Ex. 4 + m = 16 Solving One-Step Equations ◊ Ex. 4 + m = 16 ◊ -4 = -4 Solving One-Step Equations ◊ Ex. 4 + m = 16 ◊ -4 = -4 ◊ m = 12 Do Now 1) a number ( c ) increased by forty 2) Twice a number (n) 3) The difference between twenty-five and a number (p) 4) The quotient of a number (y) and fifty 5) Sixty-seven more than a number (z) 6) Eighty less than a number (x) 7) One-forth of a number (d) 8) The sum of a number (a) and twelve 9) The product of twenty-five and a number (x) 10)Half of ninety Do Now 1) a number ( c ) increased by forty c+40 2) Twice a number (n) 2n 3) The difference between twenty-five and a number (p) 25-p 4) The quotient of a number (y) and fifty y/50 5) Sixty-seven more than a number (z) z+67 6) Eighty less than a number (x) x-80 7) One-forth of a number (d) d/4 8) The sum of a number (a) and twelve a+12 9) The product of twenty-five and a number (x) 25x 10)Half of ninety 90/2 Solving One-Step Equations ◊ Remember, a one-step equation is taking the inverse operation of the equation to find the value of a variable. • For Addition, “undo” the problem by subtracting • For Subtraction, “undo” the problem by adding (there are exceptions) • For Multiplication, “undo” the problem by dividing • For Division, “undo” the problem by multiplying (there are exceptions) Solving One-Step Equations ◊ Ex. G + 15 = 25 Solving One-Step Equations ◊ Ex. G + 15 = 25 - 15 = - 15 Solving One-Step Equations ◊ Ex. G + 15 = 25 - 15 = - 15 G = 10 Solving One-Step Equations ◊ Ex. G + 15 = 25 - 15 = - 15 G = 10 ◊ Ex. R - 34 = 21 Solving One-Step Equations ◊ Ex. G + 15 = 25 - 15 = - 15 G = 10 ◊ Ex. R - 34 = 21 +34 = +34 Solving One-Step Equations ◊ Ex. G + 15 = 25 - 15 = - 15 G = 10 ◊ Ex. R - 34 = 21 +34 = +34 R = 55 Solving One-Step Equations ◊ Ex. 5T = 45 Solving One-Step Equations ◊ Ex. 5T = 45 5 5 Solving One-Step Equations ◊ Ex. 5T = 45 5 5 T=9 Solving One-Step Equations ◊ Ex. 5T = 45 5 5 T=9 ◊ Ex. F = 4 5 Solving One-Step Equations ◊ Ex. 5T = 45 5 5 T=9 ◊ Ex. F = 4 5 F·5=4·5 5 Solving One-Step Equations ◊ Ex. 5T = 45 5 5 T=9 ◊ Ex. F = 4 5 F·5=4·5 5 F = 20 Do Now 1. Which of the following fractions represent the smallest number? 2. 180 is 45% of what number? a. b. c. d. e. a. b. c. d. e. 4/7 7/12 3/5 2/3 5/9 81 145 204 400 340 Do Now 1. Which of the following fractions represent the smallest number? 2. 180 is 45% of what number? a. b. c. d. e. a. b. c. d. e. 4/7 7/12 3/5 2/3 5/9 81 145 204 400 340 Do Now 1. Which of the following fractions represent the smallest number? 2. 180 is 45% of what number? a. b. c. d. e. a. b. c. d. e. 4/7 7/12 3/5 2/3 5/9 81 145 204 400 340 One-Step Equations ◊ Recap: Solve for the variable by using the inverse operation One-Step Equations ◊ Exception (in subtraction): ◊ If the number comes before the variable, 45 - n = 22 One-Step Equations ◊ Exception (in subtraction): ◊ If the number comes before the variable, 45 - n = 22 then you need to switch the variable and answer around to solve, 45 - 22 = n One-Step Equations ◊ Exception (in subtraction): ◊ If the number comes before the variable, 45 - n = 22 then you need to switch the variable and answer around to solve, 45 - 22 = n 45 - 22 = 23 = n One-Step Equations ◊ Exception (in division): ◊ If the number is above the variable, 45 = 5 n One-Step Equations ◊ Exception (in division): ◊ If the number is above the variable, 45 = 5 n then you need to switch the variable and answer around to solve, 45 = n 5 One-Step Equations ◊ Exception (in division): ◊ If the number is above the variable, 45 = 5 n then you need to switch the variable and answer around to solve, 45 = n 5 45 = 9 = n 5
