Name:________________________________________________________________________________Date:_____/_____/__________
Quiz
Day!
1. Model the following equations:
x - (-2) = 5
x+3 = 1
x = ___
x = ___
2. Solve the following addition/subtraction one-step equations:
x + 24 = -6
4 = x + 54
x – 42 = -2
63 = x – (-1)
3. Solve the following multiplication/division one-step equations:
9x = -81
𝑥
−5
=9
4. Describe the “Golden Rule of Algebra.”
-100 = -20x
25 =
𝑥
3
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
two
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
constant
get rid of the __________________
.
Step Two: Multiply or divide to get rid of
coefficient
the ___________________
(or #
closest to “x”) .
Multiplication Two-Step Equations:
Example: 3x + 2 = 26
+(-2) +(-2) . . . (add “-2” to both sides
to make zero pair)
3x = 24
. . . (re-write equation)
3
...
3
x =8
(divide by 3 on both
sides)
Multiplication Guided examples:
1) 4x + -3 = 13
x =4
3) 45 = 15 + 3x
x = 10
2) -5x – 4 = 31
x = -7
4) -20 – x = 5
x = -25
Your turn:
5) 5 + 3x = 20
x =5
6)
2 = 12 – x
x = 10
Division two-step equations:
Example:
𝑥
+ 3 = 13
−2
+(-3) +(- 3) . . . (add “-3” to both sides
to make zero pair)
𝑥
= 10 . . . (re-write equation)
−2
𝑥
(-2)
= 10(-2) . . . (multiply by -2 on
−2
both sides)
x = -20
Division Guided examples:
1)
𝑥
2
2)
+ -7 = 11
x = 36
3)
-4 = 18 +
x = -88
𝑥
−3
- 6 = 2
x = -24
𝑥
4
4)
-20 +
𝑥
−6
= 5
x = -150
Your turn:
5)
21 =
𝑥
3
6)
+ -4
x = 75
3+
𝑥
−5
= -7
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.
Math-7 NOTES
NAME:
DATE: ______/_______/_______
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 _______________________.
Example:
3x + 2 = 26
+(-2) +( -2)
...
(add “-2” to both sides to make zero pair)
3x = 24
3
3
x =8
...
(re-write equation)
...
(divide by 3 on both sides)
Multiplication Guided examples:
1)
4x + -3 = 13
2)
-5x – 4 = 31
3)
45 = 15 + 3x
4)
-20 – x = 5
6)
2 = 12 – x
Your turn:
5)
5 + 3x = 20
Division two-step equations:
Example: _x_ + 3 = 13
-2
+(-3) +(- 3)
_x_ = 10
-2
(-2) _x_ = 10(-2)
-2
x = -20
...
(add “-3” to both sides to make zero pair)
...
(re-write equation)
...
(multiply by -2 on both sides)
Division Guided examples:
1)
3)
𝑥
2
2)
𝑥
−3
𝑥
4
4)
-20 +
+ -4
6)
3+
+ -7 = 11
-4 = 18 +
- 6 = 2
𝑥
−6
= 5
Your turn:
5)
21 =
𝑥
3
𝑥
−5
= -7
NAME:_______________________________________________________________________________DATE: _____/_____/__________
Math-7 PRACTICE