1. Model the following equations: 2. Solve the following addition/subtraction one-step equations: Name:______________________________________________________________________________Date:_/_/________.

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Presentation transcript:

1. Model the following equations: 2. Solve the following addition/subtraction one-step equations: Name:________________________________________________________________________________Date:_____/_____/__________ x - (-2) = 5 x = ___ x + 3 = 1 x = ___ x + 24 = -64 = x + 54 x – 42 = -263 = x – (-1) 9x = = -20x Quiz Day! 3. Solve the following multiplication/division one-step equations: 4. Describe the “Golden Rule of Algebra.”

Today’s Lesson: What: Two-step equations Why: To solve both multiplication and division two-step equations. What: Two-step equations Why: To solve both multiplication and division two-step equations.

What are Two-Step Equations?? Two-step equations are equations that have ________________________ operations. In other words, there are TWO numbers on the same side with “x.” To Solve a Two-Step Equation: Step One: Add or subtract (zero pairs) to get rid of the __________________. Step Two: Multiply or divide to get rid of the ___________________ (or # closest to “x”). two constant coefficient

Example: 3x + 2 = 26 +(-2) +(-2)... (add “-2” to both sides to make zero pair) 3x = (re-write equation) (divide by 3 on both sides) x = 8 Multiplication Two-Step Equations:

3) 45 = x4) -20 – x = 5 1) 4x + -3 = 132) -5x – 4 = 31 x = 4 x = - 7 x = 10 x = -25 Multiplication Guided examples:

Your turn: 5) 5 + 3x = 206) 2 = 12 – x x = 5 x = 10

Division two-step equations:

x = 36x = -24 x = -88x = -150 Division Guided examples:

Your turn: x = 75 x = 50

END OF LESSON The next slides are student copies of the notes for this lesson. These notes were handed out in class and filled-in as the lesson progressed. NOTE: The last slide(s) in any lesson slideshow represent the homework assigned for that day.

What are Two-Step Equations?? Two-step equations are equations that have _____________________ operations. In other words, there are TWO numbers on the same side with “x.” To Solve a Two-Step Equation: Step One: Add or Subtract (zero pairs) to get rid of the ______________________. Step Two: Multiply or divide to get rid of the _______________________. Example: 3x + 2 = 26 +(-2) +( -2)... (add “-2” to both sides to make zero pair ) 3x = (re-write equation) (divide by 3 on both sides) x = 8 Math-7 NOTES DATE: ______/_______/_______ What: Two-step equations Why: To solve both multiplication and division two-step equations. What: Two-step equations Why: To solve both multiplication and division two-step equations. NAME: 1) 4x + -3 = 132) -5x – 4 = 31 Multiplication Guided examples: 3) 45 = x4) -20 – x = 5 Your turn: 5) 5 + 3x = 206) 2 = 12 – x

Division two-step equations: Your turn: Example: _ x_ + 3 = (-3) +(- 3)... (add “-3” to both sides to make zero pair) _x_ = (re-write equation) -2 (-2) _x_ = 10(-2)... (multiply by -2 on both sides) -2 x = -20 Division Guided examples:

Math-7 PRACTICE NAME:_______________________________________________________________________________DATE: _____/_____/__________