algebra 1 lessonplan powerpoint
DESCRIPTION
TRANSCRIPT
![Page 1: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/1.jpg)
Algebra 1
![Page 2: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/2.jpg)
Solving Equations with Variables on BOTH sides
![Page 3: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/3.jpg)
Solving Equations with Variables on BOTH sides
Variable: In algebra the variables are letters used to hold the place of a missing number in an equation. Most commonly used variables are ‘x’ and ‘y’Any letter may be used to hold the place of the missing number in the equation.
![Page 4: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/4.jpg)
Solving Equations with Variables on BOTH sides
Variable: In algebra the variables are letters used to hold the place of a missing number in an equation. Most commonly used variables are ‘x’ and ‘y’Any letter may be used to hold the place of the missing number in the equation.
Our goal today: To solve an equation that has a variable on BOTH sides of the equation.
![Page 5: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/5.jpg)
REVIEW: 6X+4=28
![Page 6: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/6.jpg)
REVIEW: 6X+4=28Solve this equation: 6x+4=28
![Page 7: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/7.jpg)
REVIEW: 6X+4=28Solve this equation: 6x+4=28 Subtract the 4 from both sides of the equation6x+4=28 -4 -4 6x =24
![Page 8: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/8.jpg)
REVIEW: 6X+4=28Solve this equation: 6x+4=28 Subtract the 4 from both sides of the equation6x+4=28 -4 -4 6x =24Now divide each side by 66x = 24 6 6
We now have gotten ‘x’ by itself and solved the equation
x=4
![Page 9: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/9.jpg)
Taking the Next Step::
![Page 10: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/10.jpg)
Taking the Next Step::
What does an equation with 2 variables look like??
![Page 11: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/11.jpg)
Taking the Next Step::
What does an equation with 2 variables look like??
Examples:
4x+13=12x+45 3x+8=2x+10
5x+7=9x-5 9x-17=3x-23
![Page 12: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/12.jpg)
Step by Step we solve the equation:
![Page 13: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/13.jpg)
Step by Step we solve the equation:
Step 1: Combining like terms and rearranging the equation so we can easily solve the problem. First we move the numbers which have no variable attached to them.
![Page 14: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/14.jpg)
Step by Step we solve the equation:
Step 1: Combining like terms and rearranging the equation so we can easily solve the problem. First we move the numbers which have no variable attached to them.
Step 2: Move the numbers WITH variables attached to them
![Page 15: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/15.jpg)
Step by Step we solve the equation:
Step 1: Combining like terms and rearranging the equation so we can easily solve the problem. First we move the numbers which have no variable attached to them.
Step 2: Move the numbers WITH variables attached to them
Step 3: Divide each side of the equation by the number attached to the variable
![Page 16: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/16.jpg)
Step 1: Moving the Number without the Variable
![Page 17: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/17.jpg)
Step 1: Moving the Number without the Variable
4x+13=12x+45 3x+8=2x+10
5x+7=9x-5 9x-17=3x-23
![Page 18: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/18.jpg)
Step 1: Moving the Number without the Variable
4x+13=12x+45 3x+8=2x+10
-13 -13 -8 -8
5x+7=9x-5 9x-17=3x-23
+5 +5 +23 +23
![Page 19: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/19.jpg)
Step 1: Moving the Number without the Variable
4x+13=12x+45 3x+8=2x+10
-13 -13 -8 -8
4x =12x+32 3x =2x+2
5x+7=9x-5 9x-
17=3x-23 +5 +5
+23 +235x+12=9x
9x+6=3x
![Page 20: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/20.jpg)
Step 2: Moving the number WITH the variable
![Page 21: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/21.jpg)
Step 2: Moving the number WITH the variable
4x+13=12x+45 3x+8=2x+10 -13 -13 -8 -8 4x =12x+32 3x =2x+2-12x -12x -2x -2x _
5x+7=9x-5 9x-17=3x-23 +5 +5 +23 +235x+12=9x 9x+6=3x-5x -5x -9x -9x _
![Page 22: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/22.jpg)
Step 2: Moving the number WITH the variable
4x+13=12x+45 3x+8=2x+10 -13 -13 -8 -8 4x =12x+32 3x =2x+2-12x -12x -2x -2x _-8x = 32 1x = 2
5x+7=9x-5 9x-17=3x-23 +5 +5 +23 +235x+12=9x 9x+6=3x-5x -5x -9x -9x _ 12= 4x 6 = -6x
![Page 23: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/23.jpg)
Step 3: Dividing each side by the number attached to the variable
4x+13=12x+45 3x+8=2x+10 -13 -13 -8 -8 4x =12x+32 3x =2x+2-12x -12x -2x -2x _-8x = 32 1x = 2-8 -8 1 1 5x+7=9x-5 9x-17=3x-23 +5 +5 +23 +235x+12=9x 9x+6=3x-5x -5x -9x -9x _ 12= 4x 6 = -6x 4 4 -6 -6
![Page 24: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/24.jpg)
SOLUTIONS
![Page 25: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/25.jpg)
4x+13=12x+45 -13 -134x =12x+32-12x -12x _-8x = 32-8 -8Solution x= -4
SOLUTIONS
![Page 26: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/26.jpg)
4x+13=12x+45 3x+8=2x+10 -13 -13 -8 -8
4x =12x+32 3x =2x+2-12x -12x -2x -2x _-8x = 32 1x = 2-8 -8 1 1Solution x= -4 Solution x=2
SOLUTIONS
![Page 27: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/27.jpg)
4x+13=12x+45 3x+8=2x+10 -13 -13 -8 -8
4x =12x+32 3x =2x+2-12x -12x -2x -2x _-8x = 32 1x = 2-8 -8 1 1Solution x= -4 Solution x=2 5x+7=9x-5 +5 +55x+12=9x -5x -5x 12= 4x 4 4Solution x=3
SOLUTIONS
![Page 28: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/28.jpg)
4x+13=12x+45 3x+8=2x+10 -13 -13 -8 -8
4x =12x+32 3x =2x+2-12x -12x -2x -2x _-8x = 32 1x = 2-8 -8 1 1Solution x= -4 Solution x=2 5x+7=9x-5 9x-17=3x-23 +5 +5 +23 +235x+12=9x 9x+6=3x-5x -5x -9x -9x _ 12= 4x 6 = -6x 4 4 -6 -6Solution x=3 Solution x= -1
SOLUTIONS
![Page 29: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/29.jpg)
Check your work!!
![Page 30: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/30.jpg)
Check your work!!
Plug the solution into the original problem
![Page 31: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/31.jpg)
Check your work!!
Plug the solution into the original problem
Let’s check our solution for example problem #1
![Page 32: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/32.jpg)
Check your work!!
Plug the solution into the original problem
Let’s check our solution for example problem #1
4x+13=12x+45 where x= -4
![Page 33: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/33.jpg)
Check your work!!
Plug the solution into the original problem
Let’s check our solution for example problem #1
4x+13=12x+45 where x= -4
4(-4)+13 = 12(-4)+45
![Page 34: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/34.jpg)
Check your work!!
Plug the solution into the original problem
Let’s check our solution for example problem #1
4x+13=12x+45 where x= -4
4(-4)+13 = 12(-4)+45 -16 + 13 = -48 + 45
![Page 35: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/35.jpg)
Check your work!!
Plug the solution into the original problem
Let’s check our solution for example problem #1
4x+13=12x+45 where x= -4
4(-4)+13 = 12(-4)+45 -16 + 13 = -48 + 45 -3 = -3
![Page 36: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/36.jpg)
Checking our solution for example problem #2
![Page 37: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/37.jpg)
Checking our solution for example problem #2
3x+8=2x+10 where x=2
![Page 38: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/38.jpg)
Checking our solution for example problem #2
3x+8=2x+10 where x=2
3(2)+8=2(2)+10
![Page 39: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/39.jpg)
Checking our solution for example problem #2
3x+8=2x+10 where x=2
3(2)+8=2(2)+10 6 +8= 4 +10
![Page 40: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/40.jpg)
Checking our solution for example problem #2
3x+8=2x+10 where x=2
3(2)+8=2(2)+10 6 +8= 4 +10 14 = 14
![Page 41: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/41.jpg)
Checking our solution for example problem #3
![Page 42: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/42.jpg)
Checking our solution for example problem #3
5x+7=9x-5 where x=3
![Page 43: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/43.jpg)
Checking our solution for example problem #3
5x+7=9x-5 where x=3
5(3)+7=9(3)-5
![Page 44: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/44.jpg)
Checking our solution for example problem #3
5x+7=9x-5 where x=3
5(3)+7=9(3)-5 15 +7= 27 -5
![Page 45: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/45.jpg)
Checking our solution for example problem #3
5x+7=9x-5 where x=3
5(3)+7=9(3)-5 15 +7= 27 -5 22 = 22
![Page 46: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/46.jpg)
Checking our solution for example problem #4
![Page 47: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/47.jpg)
Checking our solution for example problem #4
9x-17=3x-23 where x= -1
![Page 48: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/48.jpg)
Checking our solution for example problem #4
9x-17=3x-23 where x= -1
9(-1)-17=3(-1)-23
![Page 49: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/49.jpg)
Checking our solution for example problem #4
9x-17=3x-23 where x= -1
9(-1)-17=3(-1)-23 -9 -17= -3 -23
![Page 50: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/50.jpg)
Checking our solution for example problem #4
9x-17=3x-23 where x= -1
9(-1)-17=3(-1)-23 -9 -17= -3 -23 -26 = -26
![Page 51: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/51.jpg)
Your turn
![Page 52: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/52.jpg)
Your turn
Solve the equation:
3x+4=13x-6
![Page 53: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/53.jpg)
Your turn
Solve the equation:
3x+4=13x-6
1.Rearrange the equation 10x=10x
![Page 54: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/54.jpg)
Your turn
Solve the equation:
3x+4=13x-6
1.Rearrange the equation 10x=10x
2.Divide by 10 x=1
![Page 55: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/55.jpg)
Your turn
Solve the equation:
3x+4=13x-6
1.Rearrange the equation 10x=10x
2.Divide by 10 x=1
3.Check your solution 3+4=13-6
![Page 56: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/56.jpg)
Your turn
Solve the equation:
3x+4=13x-6
1.Rearrange the equation 10x=10x
2.Divide by 10 x=1
3.Check your solution 3+4=13-6
7 = 7
![Page 57: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/57.jpg)
Your turn
Solve the equation:
3x+4=13x-6
1.Rearrange the equation 10x=10x
2.Divide by 10 x=1
3.Check your solution 3+4=13-6
7 = 7
![Page 58: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/58.jpg)
Work for the problem 3x+4=13x-6
![Page 59: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/59.jpg)
Work for the problem 3x+4=13x-6
3x+4=13x-6 +6 +6
![Page 60: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/60.jpg)
Work for the problem 3x+4=13x-6
3x+4=13x-6 +6 +6 3x+10=13x
![Page 61: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/61.jpg)
Work for the problem 3x+4=13x-6
3x+4=13x-6 +6 +6 3x+10=13x-3x -3x
![Page 62: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/62.jpg)
Work for the problem 3x+4=13x-6
3x+4=13x-6 +6 +6 3x+10=13x-3x -3x 10=10x 10 10
![Page 63: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/63.jpg)
Work for the problem 3x+4=13x-6
3x+4=13x-6 +6 +6 3x+10=13x-3x -3x 10=10x
x=1 10 10
![Page 64: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/64.jpg)
Solve: 15x+4=8x+32
![Page 65: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/65.jpg)
Solve: 15x+4=8x+32
1. Rearrange equation 7x=28
![Page 66: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/66.jpg)
Solve: 15x+4=8x+32
1. Rearrange equation 7x=282. Divide by 7 x=4
![Page 67: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/67.jpg)
Solve: 15x+4=8x+32
1. Rearrange equation 7x=282. Divide by 7 x=43. Check Solution
15(4)+4=8(4)+32 60
+4= 32 +32
![Page 68: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/68.jpg)
Solve: 15x+4=8x+32
1. Rearrange equation 7x=282. Divide by 7 x=43. Check Solution
15(4)+4=8(4)+32 60
+4= 32 +32 64
= 64
![Page 69: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/69.jpg)
Solve: 15x+4=8x+32
1. Rearrange equation 7x=282. Divide by 7 x=43. Check Solution
15(4)+4=8(4)+32 60
+4= 32 +32 64
= 64
![Page 70: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/70.jpg)
Work for the problem 15x+4=8x+32
![Page 71: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/71.jpg)
Work for the problem 15x+4=8x+32
15x+4=8x+32 -4 - 4 15x = 8x+28
![Page 72: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/72.jpg)
Work for the problem 15x+4=8x+32
15x+4=8x+32 -4 - 4 15x = 8x+28 -8x -8x _ 7x = 28
![Page 73: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/73.jpg)
Work for the problem 15x+4=8x+32
15x+4=8x+32 -4 - 4 15x = 8x+28 -8x -8x _ 7x = 28 7 7
![Page 74: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/74.jpg)
Work for the problem 15x+4=8x+32
15x+4=8x+32 -4 - 4 15x = 8x+28 -8x -8x _ 7x = 28 7 7
x = 4
![Page 75: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/75.jpg)
Special Cases
![Page 76: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/76.jpg)
Special Cases
There are 2 ‘special cases’ in solving these types of equations.
![Page 77: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/77.jpg)
Special Cases
There are 2 ‘special cases’ in solving these types of equations.
The first will leave you with NO SOLUTION where the second will leave you with an infinite amount of solutions.
![Page 78: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/78.jpg)
Special Cases
There are 2 ‘special cases’ in solving these types of equations.
The first will leave you with NO SOLUTION where the second will leave you with an infinite amount of solutions.
If there is NO SOLUTION this means no matter what you plug in for the variable the equation will never work
![Page 79: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/79.jpg)
Special Cases
There are 2 ‘special cases’ in solving these types of equations.
The first will leave you with NO SOLUTION where the second will leave you with an infinite amount of solutions.
If there is NO SOLUTION this means no matter what you plug in for the variable the equation will never work
If there is an infinite amount of solutions it means that ANY number you plug in for the variable will cause the equation to be equal and correct.
![Page 80: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/80.jpg)
Special Case #1
![Page 81: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/81.jpg)
Special Case #1NO SOLUTION
![Page 82: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/82.jpg)
Special Case #1NO SOLUTION
4x-2=4x+6-4x -4x _
-2 = 6
![Page 83: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/83.jpg)
Special Case #1NO SOLUTION
4x-2=4x+6-4x -4x _
-2 = 6This can NEVER be true.
![Page 84: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/84.jpg)
Special Case #1NO SOLUTION
4x-2=4x+6-4x -4x _
-2 = 6This can NEVER be true. Answer: NO SOLUTION
![Page 85: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/85.jpg)
Special Case #2
![Page 86: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/86.jpg)
Special Case #2Infinite number of
solutions
![Page 87: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/87.jpg)
Special Case #2Infinite number of
solutions7x+4=2x+5x+4
7x+4=7x+4-7x -7x _
4 = 4
![Page 88: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/88.jpg)
Special Case #2Infinite number of
solutions7x+4=2x+5x+4
7x+4=7x+4-7x -7x _
4 = 4
This is ALWAYS true. So ‘x’ can equal ANY number
![Page 89: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/89.jpg)
Special Case #2
![Page 90: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/90.jpg)
Special Case #2 Additional method of solving
![Page 91: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/91.jpg)
Special Case #2 Additional method of solving
7x+4=2x+5x+47x+4=7x+4
-4 -4_7x = 7x
7 7x=x
![Page 92: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/92.jpg)
Special Case #2 Additional method of solving
7x+4=2x+5x+47x+4=7x+4
-4 -4_7x = 7x
7 7x=x
Shows that ANY number can be the solution
![Page 93: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/93.jpg)
What if the problem is set up differently?
![Page 94: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/94.jpg)
What if the problem is set up differently?
Problems may be set up with additional steps that must be taken prior to being able to solve the equation. The main focus will be to know how to manipulate the equation so it is set up in the way we just learned how to solve it.
![Page 95: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/95.jpg)
What if the problem is set up differently?
Problems may be set up with additional steps that must be taken prior to being able to solve the equation. The main focus will be to know how to manipulate the equation so it is set up in the way we just learned how to solve it.
Never fear a problem. SOLVE it!
![Page 96: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/96.jpg)
3(2x-4)=4x+8
![Page 97: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/97.jpg)
3(2x-4)=4x+8
Let’s Solve:
3(2x-4)=4x+8 Distribute the 3 to the 2x & -4
![Page 98: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/98.jpg)
3(2x-4)=4x+8
Let’s Solve:
3(2x-4)=4x+8 Distribute the 3 to the 2x & -4
6x-12 =4x+8 Now the equation is ready to be solved.
![Page 99: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/99.jpg)
3(2x-4)=4x+8
Let’s Solve:
3(2x-4)=4x+8 Distribute the 3 to the 2x & -4
6x-12 =4x+8 Now the equation is ready to be solved.
-4x -4x _
2x-12= 8
![Page 100: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/100.jpg)
3(2x-4)=4x+8
Let’s Solve:
3(2x-4)=4x+8 Distribute the 3 to the 2x & -4
6x-12 =4x+8 Now the equation is ready to be solved.
-4x -4x _
2x-12= 8
+12 +12
2x = 20
![Page 101: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/101.jpg)
3(2x-4)=4x+8
Let’s Solve:
3(2x-4)=4x+8 Distribute the 3 to the 2x & -4
6x-12 =4x+8 Now the equation is ready to be solved.
-4x -4x _
2x-12= 8
+12 +12
2x = 20
2 2
![Page 102: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/102.jpg)
3(2x-4)=4x+8
Let’s Solve:
3(2x-4)=4x+8 Distribute the 3 to the 2x & -4
6x-12 =4x+8 Now the equation is ready to be solved.
-4x -4x _
2x-12= 8
+12 +12 x=10 2x = 20
2 2
![Page 103: Algebra 1 lessonplan powerpoint](https://reader035.vdocument.in/reader035/viewer/2022081602/548f16b4b4795912538b4764/html5/thumbnails/103.jpg)
Now you know…..