1. Model the following equations:

2. Solve the following addition/subtraction one-step equations:

Name:________________________________________________________________________________Date:_____/_____/__________ BRAIN BLITZ/Warm-UP

x - (-2) = 5

x = ___

x + 3 = 1

x = ___ x + 24 = -6 4 = x + 54x – 42 = -2 63 = x – (-1)

9x = -81 -100 = -20x = 9 25 =

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 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

constantcoefficient

Example: 3x + 2 = 26 +(-2) +(-2) . . . (add “-2” to both sides to make zero pair) 3x = 24 . . . (re-write equation) 3 3 . . . (divide by 3 on both sides) x = 8

Multiplication Two-Step Equations:

3) 45 = 15 + 3x 4) -20 – x = 5

1) 4x + -3 = 13 2) -5x – 4 = 31

x = 4 x = - 7

x = 10 x = -25

Multiplication Guided examples:

Your turn:

5) 5 + 3x = 20 6) 2 = 12 – x

x = 5 x = 10

Example: + 3 = 13 +(-3) +(- 3) . . . (add “-3” to both sides to make zero pair) = 10 . . . (re-write equation) (-2) = 10(-2) . . . (multiply by -2 on both sides) x = -20

Division two-step equations:

1) + -7 = 11 2) - 6 = 2

3) -4 = 18 + 4) -20 + = 5x = 36 x = -24

x = -88 x = -150

Division Guided examples:

Your turn:

5) 21 = + -4 6) 3 + = -7

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 = 24 . . . (re-write equation) 3 3 . . . (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.NAME:

1) 4x + -3 = 13 2) -5x – 4 = 31Multiplication Guided examples:

3) 45 = 15 + 3x 4) -20 – x = 5

Your turn:5) 5 + 3x = 20 6) 2 = 12 – x

Division two-step equations:

1) + -7 = 11 2) - 6 = 2

3) -4 = 18 + 4) -20 + = 5

Your turn:5) 21 = + -4 6) 3 + = -7

Example: _x_ + 3 = 13 -2 +(-3) +(- 3) . . . (add “-3” to both sides to make zero pair) _x_ = 10 . . . (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: _____/_____/__________

“ two-step Equations”