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Honor's PreAlgebra Solving TwoStep Equations (integers) (chapter 35) Solving Two-Step Equations - Integers (Honor’s Pre-Algebra) Solve each equation. Show all of your work. 1.) 4h + 6 = 22 2.) 10 = 6 + 3.) 8 = + 15 Multiplying with adding or Subtracting Steps: • Undo the adding or subtracting by using the inverse operation (both sides). • Follow the integer rules. • Undo the multiplying through division (inverse operation) to both sides. • Follow the integer rules. • Solve • Check (by plugging in the answer) Dividing with adding or Subtracting Steps: • Undo the adding or subtracting by using the inverse operation (both sides). • Follow the integer rules. • Undo the dividing through multiplication (inverse operation) to both sides. • Follow the integer rules. • Solve • Check (by plugging in the answer) Adding or subtracting as the numerator steps: Ø Multiply both sides of the equation by the fraction's denominator. Ø Follow the integer rules. Ø Undo the adding or subtracting by using the inverse operation (both sides). Ø Follow the integer rules. Ø Solve Ø Check (by plugging in the answer) 4.) 2w - 4w = -10 5.) x + 4x + 6 = 31 1 Honor's PreAlgebra Solving TwoStep Equations (integers) (chapter 35) Solving Two-Step Equations - Integers (Honor’s Pre-Algebra) Solve each equation. Show all of your work. 1.) 4h + 6 = 22 2.) 10 = 6 + 3.) 8 = + 15 Multiplying with adding or Subtracting Steps: • Undo the adding or subtracting by using the inverse operation (both sides). • Follow the integer rules. • Undo the multiplying through division (inverse operation) to both sides. • Follow the integer rules. • Solve • Check (by plugging in the answer) Dividing with adding or Subtracting Steps: • Undo the adding or subtracting by using the inverse operation (both sides). • Follow the integer rules. • Undo the dividing through multiplication (inverse operation) to both sides. • Follow the integer rules. • Solve • Check (by plugging in the answer) Adding or subtracting as the numerator steps: Ø Multiply both sides of the equation by the fraction's denominator. Ø Follow the integer rules. Ø Undo the adding or subtracting by using the inverse operation (both sides). Ø Follow the integer rules. Ø Solve Ø Check (by plugging in the answer) 4.) 2w - 4w = -10 5.) x + 4x + 6 = 31 2 Honor's PreAlgebra Solving TwoStep Equations (integers) (chapter 35) Solving Two-Step Equations - Integers (Honor’s Pre-Algebra) Solve each equation. Show all of your work. 1.) 4h + 6 = 22 2.) 10 = 6 + 3.) 8 = + 15 Multiplying with adding or Subtracting Steps: • Undo the adding or subtracting by using the inverse operation (both sides). • Follow the integer rules. • Undo the multiplying through division (inverse operation) to both sides. • Follow the integer rules. • Solve • Check (by plugging in the answer) Dividing with adding or Subtracting Steps: • Undo the adding or subtracting by using the inverse operation (both sides). • Follow the integer rules. • Undo the dividing through multiplication (inverse operation) to both sides. • Follow the integer rules. • Solve • Check (by plugging in the answer) Adding or subtracting as the numerator steps: Ø Multiply both sides of the equation by the fraction's denominator. Ø Follow the integer rules. Ø Undo the adding or subtracting by using the inverse operation (both sides). Ø Follow the integer rules. Ø Solve Ø Check (by plugging in the answer) 4.) 2w - 4w = -10 5.) x + 4x + 6 = 31 3 Honor's PreAlgebra Solving TwoStep Equations (integers) (chapter 35) 4