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Transcript
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