Today’s Lesson: What: Two-step equations Why: To solve both multiplication and division two-step equations.
Jan 18, 2016
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”) .
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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
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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
4.4
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”4.4