1. Do Now 9/11/19 Take out your HW from last night.
Text p. 16 & 17, #4-24 evens
Copy HW in your planner.
Text p , #4-24 evens, 30, 32, 33
Quiz sections Friday 9/13
Complete “Exploration 1” on page 12 in your Student Journal. You may work with a partner next to you.

2. Left Polygon Perimeter = Right Polygon Perimeter22 22
Left Polygon Perimeter = Right Polygon Perimeter
5 + x x + 2 =
3 + 3/2x
2x = 3/2x + 16
x = 4

3. Homework Text p. 16 & 17, #4-24 evens

4. Learning Goal Learning Target
SWBAT solve linear equations in one variable
Learning Target
SWBAT solve equations with variables on both sides

5. Equation- mathematical sentence with an equal sign Like a scale,
both sides must be
EQUAL in order
to be balanced.

6. Section 1.3 “Solving Equations with Variables on Both Sides”
How can you get the “unknown” by itself?
7 - 8x = 4x – 17
Solving Equations with Variables on Both Sides
STEP 1- Use distributive property.
STEP 2- Combine like terms.
STEP 3- Collect variables on one side of the equation.
STEP 4- “Undo” addition and/or subtraction.
STEP 5- “Undo” multiplication and/or division.
STEP 6- Solve for the variable.
STEP 7- Check your work.

7. 7 – 8x = 4x – 17
To get all the ‘x’ variables on one side “add 8x.”
+ 8x
+ 8x
7 = 12x – 17
To get the “12x” by itself
“add 17” to both sides.
+17
+17
24 = 12x
To get the ‘x’ by
itself “divide by 12” to both sides. 12 12
2 = x

8. 7 – 8x = 4x – 17 x = 2 7 – 8(2) = 4(2) – 17 Check Your Work!
Are both sides equal?

9. 9x – 5 = 2(2x + 7.5) 9x – 5 = 4x + 15 -4x -4x 5x – 5 = 15 + 5 + 5
Distributive
property
9x – 5 = 2(2x + 7.5)
9x – 5 = 4x + 15
To get all the ‘x’ variables on one side “subtract 4x.”
-4x
-4x
5x – 5 = 15
+ 5
+ 5
To get the “5x” by itself “add 5” to both sides.
5x = 20 5 5
To get the ‘x’ by
itself “divide by 5” to both sides.
x = 4

10. 8(x + 4) = 5(13 + x) 8x + 32 = 65 + 5x – 5x – 5x 3x + 32 = 65 - 32
Distributive
property
8(x + 4) = 5(13 + x)
8x + 32 = x
To get all the ‘x’ variables on one side “subtract 5x.”
– 5x
– 5x
3x = 65
- 32
- 32
To get the “3x” by itself “subtract 32” from both sides.
3x = 33 3 3
To get the ‘x’ by
itself “divide by 3” to both sides.
x = 11

11. 2 – 15n = 5(-3n +2) 2 – 15n = -15n + 10 +15n +15n 2 = 10 No Solution
Solving Equations with Variables on Both Sides…
If Possible
Isolate the variable! Get ‘n’ by itself.
2 – 15n = 5(-3n +2)
2 – 15n = -15n + 10
+15n n
2 = 10
No Solution

12. Infinitely Many Solutions
Solving Equations with Variables on Both Sides…If Possible
Isolate the variable! Get ‘x’ by itself.
3x +10 – x = 2(x +5)
2x + 10 = 2(x+5)
2x + 10 = 2x + 10
-2x x
10 = 10
Infinitely Many Solutions

13. Guided Practice 7p + 6 – 3p = -38 + 4p 4 + 2x + 8 = 2(x + 6)
6 ≠ -38
2x + 12 = 2x + 12
No solution
Infinitely Many
Solutions

15. Geometry Connection = 4x – 2 = 3x + 7 -3x -3x 1x – 2 = 7 +2 +2 x = 9
The figures below have the same perimeter.
Find the perimeter.
x – 1 = x
4x – 2 = 3x + 7
-3x x
1x – 2 = 7
x + 2
x + 2
x = 9
The perimeter of both figures is 34 units.
x + 3

16. 24 12 7 2 6 3 13 4 10
Homework
Text p , #4-24 evens, 30, 32, 33

17. Numbers About Me…
Create a collage/poster describing yourself using a minimum of 8 numbers
How many times I’ve
been on an airplane?
My height – in inches
Grade?
Sports #
Number of people in my house
Favorite #?
Number of siblings? Cousins?
How many times I’ve
been to DisneyWorld?
Age
How many days old I am?
States I have visited? Lived?
Birthdate
Sum of the digits
in my phone number?
How many pets I have?

18. 16 3 74 15 36 11 46 1962 Years teaching @ Howell South Awesome sons
My lucky #!
Years Howell South
Awesome
sons
Mr. Seiler
Height 74
1962
Years my favorite baseball team began playing
in inches
Numbers about me… 15 36 46
# of miles I drive to and from school each day
Countries I’ve visited
Sum of the digits of my cell phone #