What is the next step? what is it called?
Solve ... 2x = 26
Inverse operations
divide 2 on both sides
x = 13
2(x + 1)
2x + 2
x + 4 = 7
x = 3
What is the First Step?
- 5x - 10 = 10x - 5
Eliminate a variable by adding or subtracting
- 5x - 10 = 10x - 5 - 5x - 10 = 10x - 5
+5x +5x - 10x - 10x
-10 = 15x - 5 -15x -10 = -5
What is the next step? what is it called?
Solve ... 5x + 9 = 22
Inverse operations
Subtract 9 on both sides
5x = 13
4( x - 5 )
4x - 20
2x = 50
x = 10
What is the first step
3x + 9 = 5x - 3
3x + 9 = 5x - 3 3x + 9 = 5x - 3
-3x -3x -5x -5x
9 = 2x - 3 - 2x + 9 = - 3
What is the next step? what is it called?
4(x + 4) - 3(x + 2) = 3
Distributive Property
4x + 16 - 3x - 6 = 3
10 + 2(x - 3)
10 + 2x - 6 Distribute
2x + 4 Combine Like Terms
2/5x = 4
x = 10
Solve for x, 2x + 1 = 3x - 5
2x + 1 = 3x - 5 2x + 1 = 3x - 5
- 2x -2x -3x -3x
1 = 1x - 5 -1x + 1 = -5
+5 +5 - 1 - 1
6 = 1x -1x = -6
6 = x x = 6
What is the next step? what is it called?
16 + 4x - 6 - 3x = 3
Combine Like Terms
1x + 10 = 3
6 - 3(5/3x + 5)
6 - 5x - 15 Distribute
- 5x - 9 Combine Like Terms
-2x + 10 = 24
x = - 7
Solve for x, 12x - 18 = 4x - 2
12x - 18 = 4x - 2 12x - 18 = 4x - 2
- 12x -12x - 4x -4x
- 18 = -8x - 2 8x - 18 = - 2
-16 = -8x 8x = 16
x = 2 x = 2
What is the next step?
5x - 10 = 10x - 5
Eliminate a variable by adding or subtracting
- 5x - 10 = 10x - 5 - 5x - 10 = 10x - 5
+5x +5x - 10x - 10x
-10 = 15x - 5 -15x -10 = -5
Simplify the following expression
2 - 4/3 (3/2x - 9/4)
2 - 2x + 3 Distribute
- 2x + 5 Combine Like Terms
2/3x+ 5 = 13
2/3x+ 5 = 13
2/3x = 8
x = 12
Solve for x using 2 different ways, 15x - 18 = 6x
15x - 18 = 6x 15x - 18 = 6x
-15x -15x - 6x -6x
- 18 = - 9x 9x - 18 = 0
2 = x 9x = 18
x = 2