Solving equations level 1
3x + 7 = 16
3x = 9
x = 3
4x + 3x - 13 = 2x + 2
4x + 3x - 13 = 2x + 2
-2x + 4x + 3x - 13 = 2
5x = 15
x = 3
2x + 3 + 4x - 5
6x - 2
2(3v + 1) + 4v
10v + 2
Name the variables.
2x + 4y - 3z
x, y, z
What are the 4 Basic Operations?
Add, Subtract, Multiply and Divide
5x + 2 - 3 + x = 11
5x + 2 - 3 + x = 11
6x - 1 = 11
6x = 12
x = 2
9n -5n - 6 = 5n - 5n + 18
9n-5n - 6 = 5n-5n + 18
4n-6 +6 = 18 +6
4n= 24
n= 6
-7 + 8x - 9 - 12x
-4x - 16
2+ 4(2x + 2)
8x + 10
Name the coefficients.
2x + 4y - 3z
2, 4, -3
In order to move terms to the other side of the equation and combine them with their like terms, what operation do you have to do?
The inverse or opposite operation
5(m-3) = 4
5m - 15 = 4
5m = 10
m = 19/5
10x - 8x - 4 = 8x - 2x + 8
10x - 8x - 4 = 8x - 2x + 8
2x - 4 = 6x + 8
-4x - 4 = 8
-4x = 12
x = -3
8x - 5 - 12 - 3x + y
5x + y - 17
9(9x + 6) + 10x
91x + 54
Name the constants.
-3x + z + 2 - 7
2, -7
Name the 3 types of equations we have covered in class.
One step equation
Two step equation
Mutli step equation
3(𝑥 − 9) = −3
3x - 27 = -3
3x = 24
x = 8
-8x -3x+ x= 33+ 2x
-8x - 3x + x = 33 + 2x
-2x -8x - 3x + 2x = 33
-11x = 33
x = -3
-8x - 7 - 2x + 9
-10x + 2
3x + 9(7 - 5x)
-42x + 63
Name the like terms.
-3x + z + 2 - 7
2, -7
When solving something like 3(x -2) = 12
what step do you do first?
Distribute the 3 or multiply the 3 by the x and -2
14 = (3a + 6) + 2
14 = 3a + 6 + 2
14 = 3a + 8
6 = 3a
a = 2
2x + 10 - 7 = 3x - 6
2x + 10 - 7 = 3x - 6
2x + 3 = 3x - 6
-x + 3 = -6
-x = -3
x = 3
6a + 2b + 4c + 3b + 6c + 2a
8a + 5b + 10c
-4(5x - 10) + 5(4x - 8)
0
Name the terms.
2x + 7y
2x, 7y
In the expression 2x+1, what does the 1 represent?
The constant